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Tytuł:
Edge Reduced Skolem Difference Mean Number of Some Graphs
Autorzy:
Murugan, K.
Powiązania:
https://bibliotekanauki.pl/articles/1192710.pdf
Data publikacji:
2016
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Skolem difference mean graph
edge reduced skolem difference mean number
skolem difference mean labeling
some graphs
Opis:
A graph G =(V,E) with p vertices and q edges is said to have skolem difference mean labeling if it is possible to label the vertices x ϵ V with distinct elements f (x) from {1,2,3,…,p+q} in such a way that the edge e =uv is labeled with |f(u)-f(v)|/2 if |f(u)-f(v)| is even and (|f(u)-f(v)|+1)/2 if |f(u)-f(v)| is odd and the resulting labels of the edges are distinct and are from {1,2,3,…,q}. A graph that admits skolem difference mean labeling is called a skolem difference mean graph. In this paper, the author studied the edge reduced skolem difference mean number of some graphs.
Źródło:
World Scientific News; 2016, 30; 129-142
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cone solutions of multi-order fractional difference systems
Autorzy:
Girejko, E.
Mozyrska, D.
Powiązania:
https://bibliotekanauki.pl/articles/206510.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fractional difference operator
fractional difference equation
cone solutions
Opis:
The fractional difference system of equations with different fractional orders is considered. We obtain the existence and uniqueness results for the initial value problem. Cone solutions are presented. An example is given to illustrate the results.
Źródło:
Control and Cybernetics; 2013, 42, 2; 419-429
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference labelling of cacti
Autorzy:
Sonntag, Martin
Powiązania:
https://bibliotekanauki.pl/articles/743380.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph labelling
difference graph
cactus
Opis:
A graph G is a difference graph iff there exists S ⊂ IN⁺ such that G is isomorphic to the graph DG(S) = (V,E), where V = S and E = {{i,j}:i,j ∈ V ∧ |i-j| ∈ V}.
It is known that trees, cycles, complete graphs, the complete bipartite graphs $K_{n,n}$ and $K_{n,n-1}$, pyramids and n-sided prisms (n ≥ 4) are difference graphs (cf. [4]). Giving a special labelling algorithm, we prove that cacti with a girth of at least 6 are difference graphs, too.
Źródło:
Discussiones Mathematicae Graph Theory; 2003, 23, 1; 55-65
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients
Autorzy:
Kapica, Rafał
Zawiski, Radosław
Powiązania:
https://bibliotekanauki.pl/articles/27314669.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
first order differential-difference equation with complex coefficients
stability of differential-difference equation
characteristic exponential polynomial of differential-difference equation
retarded differential-difference equation
DDE
Opis:
We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation. Our analysis provides necessary and sufficient conditions for allocation of the roots in the complex open left half-plane what guarantees asymptotic stability of the differential-difference equation. The conditions are expressed explicitly in terms of complex coefficients of the characteristic exponential polynomial, what makes them easy to use in applications. We show examples including those for retarded PDEs in an abstract formulation.
Źródło:
Archives of Control Sciences; 2023, 33, 3; 607--629
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference labelling of digraphs
Autorzy:
Sonntag, Martin
Powiązania:
https://bibliotekanauki.pl/articles/744591.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph labelling
difference digraph
oriented tree
Opis:
A digraph G is a difference digraph iff there exists an S ⊂ N⁺ such that G is isomorphic to the digraph DD(S) = (V,A), where V = S and A = {(i,j):i,j ∈ V ∧ i-j ∈ V}.For some classes of digraphs, e.g. alternating trees, oriented cycles, tournaments etc., it is known, under which conditions these digraphs are difference digraphs (cf. [5]). We generalize the so-called source-join (a construction principle to obtain a new difference digraph from two given ones (cf. [5])) and construct a difference labelling for the source-join of an even number of difference digraphs. As an application we obtain a sufficient condition guaranteeing that certain (non-alternating) trees are difference digraphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2004, 24, 3; 509-527
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generating Skolem Difference Mean Graphs
Autorzy:
Mariselvi, S.
Murugan, K.
Powiązania:
https://bibliotekanauki.pl/articles/1075422.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Duplication of graph elements
Near skolem difference mean graphs
Skolem difference mean graphs
Opis:
A graph G (V, E) with p vertices and q edges is said to have skolem difference mean labeling if it is possible to label the vertices x V with distinct elements f(x) from {1,2,….,p+q} in such a way that the edge e = uv is labeledwith |f(u)-f(v)|/2 if |f(u)-f(v)| is even and (|f(u)-f(v)|+1)/2 if |f(u)-f(v)| is odd and the resulting edges get distinct labels from {1,2,…,q}. A graph that admits skolem difference mean labeling is called a Skolem difference mean graph A graph G = (V, E) with p vertices and q edges is said to have Near skolem difference mean labeling if it is possible to label the vertices x V with distinct elements f(x) from {1,2,….,p+q-1,p+q+2} in such a way that each edge e = uv, is labeled as f*(e) = |f(u)-f(v)|/2 if |f(u)-f(v)| is even and f*(e) =(|f(u)-f(v)|+1)/2 if |f(u)-f(v)| is odd. The resulting labels of the edges are distinct and from {1,2,…,q}. A graph that admits a Near skolem difference mean labeling is called a Near Skolem difference mean graph. In this paper, the authors generate skolem difference mean graphs from near skolem difference mean graphs.
Źródło:
World Scientific News; 2019, 126; 11-22
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference functional inequalities and applications
Autorzy:
Szafrańska, A.
Powiązania:
https://bibliotekanauki.pl/articles/255602.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
initial boundary value problems
difference functional inequalities
difference methods
stability and convergence
interpolating operators
error estimates
Opis:
The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 405-423
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Full-order observers for linear fractional multi-order difference systems
Autorzy:
Wyrwas, M.
Powiązania:
https://bibliotekanauki.pl/articles/199928.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
difference operators
fractional order difference system
observer
operator różniczkowy
obserwator
system różniczkowy
Opis:
The paper is devoted to the construction of observers for linear fractional multi–order difference systems with Riemann–Liouville– and Grünwald–Letnikov–type operators. Basing on the Z-transform method the sufficient condition for the existence of the presented observers is established. The behaviour of the constructed observer is demonstrated in numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 6; 891-989
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Human Difference: Beyond Nomotropism
Autorzy:
Bielik-Robson, Agata
Powiązania:
https://bibliotekanauki.pl/articles/451513.pdf
Data publikacji:
2017-09-02
Wydawca:
Uniwersytet Warszawski. Wydział Filozofii
Tematy:
human difference
biopolitics
philosophical anthropology
psychoanalysis
Opis:
The main theme of this essay is f i n i t e l i f e, which is the bedrock of modern biopolitics. In the series of lectures devoted to the ‘birth of biopolitics,’ Michel Foucault defines it as a new system of ‘governing the living’ based on the natural cycle of birth and death, and the law of genesis kai phtora, ‘becoming and perishing.’ Foucault’s answer to modern biopolitics is to accept its basic premise – that life is finite, and, consequently, reduced to the natural law of birth and death – and then slightly correct the naive liberal trust in the ‘naturalness’ of human existence by appropriating and internalizing the true essence of the biopolitical paradigm: the disciplining practices. This essay contests Foucault’s minimalist Neostoic program of the ‘care of the self’ by demonstrating that we can still hope for a n o t h e r f i n i t u d e that refrains from any renaturalization of human existence.
Źródło:
Eidos. A Journal for Philosophy of Culture; 2017, 1, 1; 18-28
2544-302X
Pojawia się w:
Eidos. A Journal for Philosophy of Culture
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On oscillatory solutions of certain difference equations
Autorzy:
Grzegorczyk, G.
Werbowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/255794.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equations
oscillation
Opis:
Some difference equations with deviating arguments are discussed in the context of the oscillation problem. The aim of this paper is to present the sufficient conditions for oscillation of solutions of the equations discussed.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 317-326
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extra Skolem Difference Mean Labeling of Some Graphs
Autorzy:
Sundari, G. Muppidathi
Murugan, K.
Powiązania:
https://bibliotekanauki.pl/articles/1030829.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
F-tree
Skolem difference mean labeling
Y-tree
extra skolem difference mean labeling
Opis:
A graph G =(V,E) with p vertices and q edges is said to have skolem difference mean labeling if it is possible to label the vertices x ϵ V with distinct elements f (x) from the set {1,2…p+q} in such a way that the edge e =uv is labeled with |f(u)-f(v)|/2 if |f(u)-f(v)| is even and (|f(u)-f(v)|+1)/2 if |f(u)-f(v)| is odd and the resulting labels of the edges are distinct and are from {1,2…q}. A graph that admits skolem difference mean labeling is called a skolem difference mean graph. If one of the skolem difference mean labeling of G satisfies the condition that all the labels of the vertices are odd, then we call this skolem difference mean labeling an extra skolem difference mean labeling and call the graph G an extra skolem difference mean graph. In this paper, extra skolem difference mean labeling of some graphs are studied.
Źródło:
World Scientific News; 2020, 145; 210-221
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence criteria for positive solutions of a nonlinear difference inequality
Autorzy:
Cheng, Sui
Zhang, Guang
Powiązania:
https://bibliotekanauki.pl/articles/1208008.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Sturm type comparison theorem
limit comparison theorem
nth order linear difference equation
eventually positive solution
eventually positive nonincreasing solution
neutral difference equation
nonlinear delay difference inequality
Opis:
This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Źródło:
Annales Polonici Mathematici; 2000, 73, 3; 197-220
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference sets
Autorzy:
Rankin, R.
Powiązania:
https://bibliotekanauki.pl/articles/1394408.pdf
Data publikacji:
1964
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Acta Arithmetica; 1964, 9, 2; 161-168
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implementacja metody maximum difference scaling w pakiecie MaxDiff programu R
Implementation of maximum difference scaling in MaxDiff R package
Autorzy:
Bartłomowicz, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/425002.pdf
Data publikacji:
2014
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
consumers’ preferences
Maximum Difference Scaling
MaxDiff
R program
Opis:
Measurement of consumer preferences is one of the most important elements of marketing research. In the measurement of consumers’ preferences Maximum Difference Scaling method can be used, which was implemented in the module MaxDiff (Best-Worst Scaling) of Sawtooth Software. The aim of the article is to present the author’s MaxDiff package for the R program, which is one of the most important no-commercial programs offered under the GNU GPL licence with free access to the source code. The article presents some functions of the MaxDiff R package with the example of application of consumers’ preferences in empirical analysis.
Źródło:
Econometrics. Ekonometria. Advances in Applied Data Analytics; 2014, 4(46); 189-198
1507-3866
Pojawia się w:
Econometrics. Ekonometria. Advances in Applied Data Analytics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On difference-sequences
Autorzy:
Ruzsa, Imre
Powiązania:
https://bibliotekanauki.pl/articles/1393689.pdf
Data publikacji:
1974
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Acta Arithmetica; 1973-1974, 25, 2; 151-157
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On asymptotic stability of a linear difference equation depending on parameters
Autorzy:
Przyłuski, M.
Powiązania:
https://bibliotekanauki.pl/articles/115517.pdf
Data publikacji:
2012
Wydawca:
Fundacja na Rzecz Młodych Naukowców
Tematy:
difference equation
asymptotic stability
optimisation
Opis:
The paper focuses on a linear diffrence equation depending on parameters. The equation is related to Good win’s theory of extrapolative expectations. The stability region of the equation is investigated. Conditions for asymptotic stability are formulated and presented as an optimisation problem, which is further analysed. Despite employing state-of-the-art solvers, numerical results have turned out to be too ambiguous to provide the basis for definite conclusions about the investigated stability region.
Źródło:
Challenges of Modern Technology; 2012, 3, 3; 11-14
2082-2863
2353-4419
Pojawia się w:
Challenges of Modern Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minkowski difference and Sallee elements in an ordered semigroup
Autorzy:
Borowska, Danuta
Grzybowski, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/745931.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Minkowski difference
Sallee elements
semigroups
Opis:
In the manner of Pallaschke and Urbański ([5], chapter 3) we generalize the notions of the Minkowski difference and Sallee sets to a semigroup. Sallee set (see [7], definition of the family \(S\) on p. 2) is a compact convex subset \(A\) of a topological vector space \(X\) such that for all subsets \(B\) the Minkowski difference \(A -B\) of the sets \(A\) and \(B\) is a summand of \(A\). The family of Sallee sets characterizes the Minkowski subtraction, which is important to the arithmetic of compact convex sets (see [5]). Sallee polytopes are related to monotypic polytopes (see [4]). We generalize properties of Minkowski difference and Sallee sets to semigroup and investigate the families of Sallee elements in several specific semigroups.
Źródło:
Commentationes Mathematicae; 2007, 47, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On criteria for algebraic independence of collections of functions satisfying algebraic difference relations
Autorzy:
Ogawara, H.
Powiązania:
https://bibliotekanauki.pl/articles/255709.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference algebra
systems of algebraic difference equations
algebraic independence
Vignéras’multiple gamma functions
q-polylogarithm functions
Opis:
This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras’ multiple gamma functions and derivatives of the gamma function, (2) the logarithmic function, q-exponential functions and q-polylogarithm functions. In a similar way, we give a generalization of Ostrowski’s theorem.
Źródło:
Opuscula Mathematica; 2017, 37, 3; 457-472
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite difference inequalities
Autorzy:
Popenda, J.
Powiązania:
https://bibliotekanauki.pl/articles/963529.pdf
Data publikacji:
1986
Wydawca:
Polskie Towarzystwo Matematyczne
Opis:
The article contains no abstract
Źródło:
Commentationes Mathematicae; 1986, 26, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
1D and 2D finite-difference operators for periodic functions on arbitrary mesh
Autorzy:
Sobczyk, Tadeusz Jan
Powiązania:
https://bibliotekanauki.pl/articles/2042801.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
arbitrary meshes
finite-difference operators
partial finite difference operators
periodic function
two-variable periodic functions
Opis:
This paper presents novel discrete differential operators for periodic functions of one- and two-variables, which relate the values of the derivatives to the values of the function itself for a set of arbitrarily chosen points over the function’s area. It is very characteristic, that the values of the derivatives at each point depend on the function values at all points in that area. Such operators allow one to easily create finite-difference equations for boundaryvalue problems. The operators are addressed especially to nonlinear differential equations.
Źródło:
Archives of Electrical Engineering; 2022, 71, 1; 265-275
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implicit difference methods for infinite systems of hyperbolic functional differential equations
Autorzy:
Szafrańska, Anna
Powiązania:
https://bibliotekanauki.pl/articles/745990.pdf
Data publikacji:
2010
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
initial boundary value problems
difference functional equations
difference methods
stability and convergence
interpolating operators
nonlinear estimates of the Perron type
Opis:
The paper deal with classical solutions of initial boundary value problems for infinite systems of nonlinear differential functional equations. Two types of difference schemes are constructed. First we show that solutions of our differential problem can be approximated by solutions of infinite difference functional schemes. In the second part of the paper we proof that solutions of finite difference systems approximate the solutions of aur differential problem. We give a complete convergence analysis for both types of difference methods. We adopt nonlinear estimates of the Perron type for given functions with respect to the functional variable. The proof of the stability is based on the comparison technique. Numerical examples are presented.
Źródło:
Commentationes Mathematicae; 2010, 50, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference equations with impulses
Autorzy:
Danca, Marius
Feckan, Michal
Pospisil, Michal
Powiązania:
https://bibliotekanauki.pl/articles/255372.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equations
impulses
stability
fixed points
Li-Yorke chaos
Opis:
Difference equations with impulses are studied focussing on the existence of periodic or bounded orbits, asymptotic behavior and chaos. So impulses are used to control the dynamics of the autonomous difference equations. A model of supply and demand is also considered when Li-Yorke chaos is shown among others.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 5-22
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effective difference schemes for the heat equation in arbitrary regions
Autorzy:
Dryja, Maksymilian
Powiązania:
https://bibliotekanauki.pl/articles/748525.pdf
Data publikacji:
1982
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Stability and convergence of difference methods,Error bounds
Opis:
.
In this paper the author considers the problem of the heat equation ∂u/∂t−(∂2u/∂x21+∂2u/∂x22)=f(x,t) for x∈Ω and t∈(0,T], u(x,0)=φ(x) for x∈Ω, u(x,t)=0 for x∈∂Ω and t∈[0,T]. He constructs a Crank-Nicolson and an alternating direction difference scheme on a regular mesh with steps hi (i=1,2) and τ. Linear interpolation is used for the approximation of the boundary condition. Besides stability of both schemes error estimates are derived under the condition that the derivatives ∂5u/∂t∂x4i and ∂3u/∂t3 are bounded. These estimates are: maxn∥un−yn∥A≤M(τ2+h3/2)andmaxn∥un−yn∥h≤M(τ2+h2+τh1/2+h5/2/τ). Here h=max(h1,h2), un=u(⋅,nτ), yn is the approximate value of un, ∥u∥2h=(u,u)h, (u,v)h=h1h2∑x∈Ωhu(x)v(x) (Ωh is the set of all mesh points lying in Ω), and ∥u∥2A=(u,Au)h where A is the discrete Laplace operator.
Źródło:
Mathematica Applicanda; 1982, 10, 19
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the nonoscillatory behavior of solutions of three classes of fractional difference equations
Autorzy:
Grace, Said Rezk
Alzabut, Jehad
Punitha, Sakthivel
Muthulakshmi, Velu
Adiguzel, Hakan
Powiązania:
https://bibliotekanauki.pl/articles/255333.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Caputo difference operator
nonoscillation criteria
fractional difference equation mathematical inequalities
Opis:
In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds. Unlike most existing nonoscillation results which have been established by employing Riccati transfor mation technique, we employ herein an easily verifiable approach based on the fractional Taylor’s difference formula, some features of discrete fractional calculus and mathematical inequalities. The theoretical findings are demonstrated by examples. We end the paper by a concluding remark.
Źródło:
Opuscula Mathematica; 2020, 40, 5; 549-568
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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