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Wyświetlanie 1-15 z 70
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:
Convex and monotone operator functions
Autorzy:
Aujla, Jaspal
Vasudeva, H.
Powiązania:
https://bibliotekanauki.pl/articles/1311464.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
operator monotone function
operator convex function
Opis:
The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Źródło:
Annales Polonici Mathematici; 1995, 62, 1; 1-11
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Regularization of non-coercive quasi variational inequalities
Autorzy:
Giannessi, F.
Khan, A.
Powiązania:
https://bibliotekanauki.pl/articles/205586.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
operator monotoniczny i pseudomonotoniczny
zbieżność
convergence
monotone and pseudo-monotone operators
non-coercive
quasi-variational inequalities
regularization
Opis:
This paper is devoted to the regularization of quasi-variational inequalities. The quasi-variational inequality is considered with multivalued operator. The operator involved is taken to be non-coercive and the data are assumed to be known approximately only. Under the assumption that the quasi-variational inequality be solvable, a weakly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method.
Źródło:
Control and Cybernetics; 2000, 29, 1; 91-110
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence of viable solutions for a class of second order differential inclusions
Autorzy:
Cernea, Aurelian
Powiązania:
https://bibliotekanauki.pl/articles/729526.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
viable solutions
ϕ-monotone operators
differential inclusions
Opis:
We prove the existence of viable solutions to the Cauchy problem x'' ∈ F(x,x'), x(0) = x₀, x'(0) = y₀, where F is a set-valued map defined on a locally compact set $M ⊂ R^{2n}$, contained in the Fréchet subdifferential of a ϕ-convex function of order two.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 1; 67-78
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
PM functions, their characteristic intervals and iterative roots
Autorzy:
Zhang, Weinian
Powiązania:
https://bibliotekanauki.pl/articles/1310756.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
iterative root
piecewise monotone function
characteristic interval
Opis:
The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
Źródło:
Annales Polonici Mathematici; 1996-1997, 65, 2; 119-128
0066-2216
Pojawia się w:
Annales Polonici Mathematici
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:
Evaluating improvements of records
Autorzy:
Rychlik, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1339205.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
monotone failure rate
monotone failure probability
record value
projection
sharp bound
variance
central absolute moment
independent identically distributed variables
Opis:
We evaluate the extreme differences between the consecutive expected record values appearing in an arbitrary i.i.d. sample in the standard deviation units. We also discuss the relevant estimates for parent distributions coming from restricted families and other scale units.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 315-324
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On cyclic α(·)-monotone multifunctions
Autorzy:
Rolewicz, S.
Powiązania:
https://bibliotekanauki.pl/articles/1206025.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet Φ-differentiability
cyclic α(·)-monotone multi- function
Opis:
Let (X,d) be a metric space. Let Φ be a linear family of real-valued functions defined on X. Let $Γ: X → 2^{Φ}$ be a maximal cyclic α(·)-monotone multifunction with non-empty values. We give a sufficient condition on α(·) and Φ for the following generalization of the Rockafellar theorem to hold. There is a function f on X, weakly Φ-convex with modulus α(·), such that Γ is the weak Φ-subdifferential of f with modulus α(·), $Γ(x)=∂^{-α}_{Φ}f|_{x}$.
Źródło:
Studia Mathematica; 2000, 141, 3; 263-272
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems
Autorzy:
Denton, Z.
Ramirez, J. D.
Powiązania:
https://bibliotekanauki.pl/articles/255901.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Riemann Liouville derivative
integro-differential equation
monotone method
Opis:
In this work we investigate integro-differential initial value problems with Riemann Liouville fractional derivatives where the forcing function is a sum of an increasing function and a decreasing function. We will apply the method of lower and upper solutions and develop two monotone iterative techniques by constructing two sequences that converge uniformly and monotonically to minimal and maximal solutions. In the first theorem we will construct two natural sequences and in the second theorem we will construct two intertwined sequences. Finally, we illustrate our results with an example.
Źródło:
Opuscula Mathematica; 2017, 37, 5; 705-724
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:
Reverse and improved inequalities for operator monotone functions
Autorzy:
Dragomir, Sever
Powiązania:
https://bibliotekanauki.pl/articles/2078966.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Operator monotone functions
Lowner-Heinz inequality
logarithmic operator inequality
Opis:
In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power function.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2020, 74, 2; 19-29
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
Autorzy:
Wang, Ming-Xing
Cabada, Alberto
Nieto, Juan
Powiązania:
https://bibliotekanauki.pl/articles/1311755.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
upper and lower solutions
monotone iterative technique
Carathéodory function
Opis:
The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
Źródło:
Annales Polonici Mathematici; 1993, 58, 3; 221-235
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Time-to-Build Economies with Multiple-Stage Investments
On time-to-build economies with multiple stage investments
Autorzy:
Dziewulski, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/574421.pdf
Data publikacji:
2011-09-30
Wydawca:
Szkoła Główna Handlowa w Warszawie. Kolegium Analiz Ekonomicznych
Tematy:
time to build
dynamic general equilibrium
monotone comparative statics
Opis:
The paper presents a constructive method for studying dynamic general equilibrium models with time-to-build technology. In the work, the author modifies a seminal work by Kydland and Prescott [1982] by allowing agents to make multi-stage investments. In this framework, consumers decide on how much to consume each period, and how much to invest in future capital, which will yield them income in future periods. Unlike in Kydland and Prescott, agents are allowed to postpone, stop or accelerate the investment by devoting a certain amount of their product to investments, which allows consumers to smooth investment expenses throughout the investment process rather than incur the whole cost at the beginning of the investment, as in Kydland and Prescott. The analysis of the model poses several technical issues, which are tackled in the article. First, the premises of the model exhibit unbounded returns, which makes several dynamic programming arguments invalid. Second, since the imposed assumptions do not exclude boundary solutions, the consumer value function of the underlying problem might not be differentiable, as the standard Benveniste and Scheinkman [1979] argument does not hold. Finally, as the feasible action set is not a lattice, standard monotone comparative statics cannot be introduced in order to bring about the monotonicity results concerning the policy functions in the model. Using dynamic programming methods and monotone operators theory (by Matkowski and Nowak [2009], Quah and Strulovici [2009], and Rincón-Zapatero and Santos [2009]), the author presents a convergent algorithm for the computation of optimal allocations of the model, as well as proposes an economy that decentralizes the allocations in the Arrow-Debreu general equilibrium. Eventually, the author presents some comparative statics results useful for a more general analysis of the problem, and discusses the efficiency of the presented economy.
Źródło:
Gospodarka Narodowa. The Polish Journal of Economics; 2011, 250, 9; 23-49
2300-5238
Pojawia się w:
Gospodarka Narodowa. The Polish Journal of Economics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions
Autorzy:
Bader, Ralf
Papageorgiou, Nikolaos
Powiązania:
https://bibliotekanauki.pl/articles/1208032.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Dirichlet
maximal monotone operator
Yosida approximation
monotone operator
resolvent operator
measurable selection
demicontinuous operator
Neumann and periodic problems
coercive operator
projection theorem
Opis:
We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of operators of monotone type and on the Leray-Schauder fixed point theorem. At the end we present some special cases (including the classical Dirichlet, Neumann and periodic problems), which illustrate the general and unifying features of our work.
Źródło:
Annales Polonici Mathematici; 2000, 73, 1; 69-92
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algorithm for finding a common solution for a system of mixed equilibrium problem, quasi-variational inclusion problem and fixed point problem of nonexpansive semigroup
Autorzy:
Min, L.
Chang, S.
Zuo, P.
Powiązania:
https://bibliotekanauki.pl/articles/255589.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonexpansive semigroup
mixed equilibrium problem
viscosity approximation method
quasi-variational inclusion problem
multi-valued maximal monotone mappings
alpha-inverse-strongly monotone mapping
Opis:
In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for a nonexpansive semigroup and the set of solutions of the quasi-variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in a Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in the literature.
Źródło:
Opuscula Mathematica; 2010, 30, 4; 465-484
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 70

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