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Wyszukujesz frazę "Difference" wg kryterium: Temat


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:
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
Tytuł:
Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations
Autorzy:
Mawhin, J.
Powiązania:
https://bibliotekanauki.pl/articles/255344.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Brouwer degree
nonlinear difference equations
Opis:
The aim of this note is to describe the continuation theorem of [39,40] directly in the context of Brouwer degree, providing in this way a simple frame for multiple applications to nonlinear difference equations, and to show how the corresponding reduction property can be seen as an extension of the well-known reduction formula of Leray and Schauder [24], which is fundamental for their construction of Leray-Schauder's degree in normed vector spaces.
Źródło:
Opuscula Mathematica; 2008, 28, 4; 541-560
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the global attractivity and the periodic character of a recursive sequence
Autorzy:
Elsayed, E. M.
Powiązania:
https://bibliotekanauki.pl/articles/952823.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
stability
periodic solutions
boundedness
difference equations
Opis:
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence [formula], where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-2, x-1 and x0 are positive real numbers.
Źródło:
Opuscula Mathematica; 2010, 30, 4; 431-446
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation of solutions to non-linear difference equations with several advanced arguments
Autorzy:
Pinelas, S.
Dix, J. G.
Powiązania:
https://bibliotekanauki.pl/articles/255605.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
advanced difference equation
non-oscillatory solution
Opis:
This work concerns the oscillation and asymptotic properties of solutions to the non-linear difference equation with advanced arguments [formula]. We establish sufficient conditions for the existence of positive, and negative solutions. Then we obtain conditions for solutions to be bounded, convergent to positive infinity and to negative infinity and to zero. Also we obtain conditions for all solutions to be oscillatory.
Źródło:
Opuscula Mathematica; 2017, 37, 6; 887-898
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
Autorzy:
Attia, Emad R.
El-Matary, Bassant M.
Chatzarakis, George E.
Powiązania:
https://bibliotekanauki.pl/articles/29519176.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
difference equations
non-monotone argument
Opis:
In this paper, we study the oscillatory behavior of the solutions of a first-order difference equation with non-monotone retarded argument and nonnegative coefficients, based on an iterative procedure. We establish some oscillation criteria, involving lim sup, which achieve a marked improvement on several known conditions in the literature. Two examples, numerically solved in MAPLE software, are also given to illustrate the applicability and strength of the obtained conditions.
Źródło:
Opuscula Mathematica; 2022, 42, 6; 769-791
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Periodic, nonperiodic, and chaotic solutions for a class of difference equations with negative feedback
Autorzy:
Kennedy, Benjamin B.
Powiązania:
https://bibliotekanauki.pl/articles/29519375.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equation
negative feedback
circle map
Opis:
We study the scalar difference equation $ x(k+1)=x(k)+\frac{f(x(k-N))}{N} $ where f is nonincreasing with negative feedback. This equation is a discretization of the well-studied differential delay equation $ x′(t) = f(x(t − 1)). $ We examine explicit families of such equations for which we can find, for infinitely many values of N and appropriate parameter values, various dynamical behaviors including periodic solutions with large numbers of sign changes per minimal period, solutions that do not converge to periodic solutions, and chaos. We contrast these behaviors with the dynamics of the limiting differential equation. Our primary tool is the analysis of return maps for the difference equations that are conjugate to continuous self-maps of the circle.
Źródło:
Opuscula Mathematica; 2023, 43, 4; 507-546
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
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:
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:
New aspects for the oscillation of first-order difference equations with deviating arguments
Autorzy:
Attia, Emad R.
El-Matary, Bassant M.
Powiązania:
https://bibliotekanauki.pl/articles/2216188.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equations
oscillation
non-monotone advanced arguments
Opis:
We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.
Źródło:
Opuscula Mathematica; 2022, 42, 3; 393-413
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian
Autorzy:
Candito, P.
D'Agui, G.
Powiązania:
https://bibliotekanauki.pl/articles/255253.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
constant-sign solution
difference equations
Neumann problem
Opis:
In this paper, we investigate the existence of constant-sign solutions for a nonlinear Neumann boundary value problem involving the discrete p-Laplacian. Our approach is based on an abstract local minimum theorem and truncation techniques.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 683-690
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
Autorzy:
Migda, M.
Powiązania:
https://bibliotekanauki.pl/articles/255688.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
neutral difference equation
asymptotic behavior
nonoscillatory solution
Opis:
In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form Δm(xn + pnxn-τ) + f(n, xσ(n)) = hn. We present conditions under which all nonoscillatory solutions of the above equation have the property xn = cnm-1 + o(nm-1) for some c ∈ R.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 507-514
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A finite difference method for nonlinear parabolic-elliptic systems of second-order partial differential equations
Autorzy:
Malec, M.
Sapa, L.
Powiązania:
https://bibliotekanauki.pl/articles/255499.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
partial differential equation
parabolic-elliptic system
finite difference method
finite difference scheme
consistence
convergence
stability
error estimate
uniqueness
Opis:
This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions. One part of each system is of the parabolic type (degenerated parabolic equations) and the other of the elliptic type (equations with a parameter) in a cube in R1+n. A suitable finite difference scheme is constructed. It is proved that the scheme has a unique solution, and the numerical method is consistent, convergent and stable. The error estimate is given. Moreover, by the method, the differential problem has at most one classical solution. The proof is based on the Banach fixed-point theorem, the maximum principle for difference functional systems of the parabolic type and some new difference inequalities. It is a new technique of studying the mixed-type systems. Examples of physical applications and numerical experiments are presented.
Źródło:
Opuscula Mathematica; 2007, 27, 2; 259-289
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation conditions for difference equations with several variable delays
Autorzy:
El-Matary, Bassant M.
El-Morshedy, Hassan A.
Benekas, Vasileios
Stavroulakis, Ioannis P.
Powiązania:
https://bibliotekanauki.pl/articles/29519474.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
difference equations
non-monotone delays
first order
Opis:
A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.
Źródło:
Opuscula Mathematica; 2023, 43, 6; 789-801
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kneser-type oscillation criteria for second-order half-linear advanced difference equations
Autorzy:
Indrajith, N.
Graef, John R.
Thandapani, E.
Powiązania:
https://bibliotekanauki.pl/articles/2048703.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
second-order difference equations
advanced argument
half-linear
oscillation
Opis:
The authors present Kneser-type oscillation criteria for a class of advanced type second-order difference equations. The results obtained are new and they improve and complement known results in the literature. Two examples are provided to illustrate the importance of the main results.
Źródło:
Opuscula Mathematica; 2022, 42, 1; 55-64
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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