Results 51 to 60 of about 402 (78)

Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay

Nonautonomous Dynamical Systems, 2014
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Baliki Abdessalam, Benchohra Mouffak
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On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems

, 2018
We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on the boundary of the mountain, which improves the well known results (\cite ...
Ding, Liang, Wei, Jinlong, Zhang, Shiqing   +2 more
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Second order evolution equations with nonlocal conditions

Demonstratio Mathematica, 2017
In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak, Nieto Juan J., Rezoug Noreddine   +2 more
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Developed Adomian method for quadratic Kaluza-Klein relativity

, 2009
We develop and modify the Adomian decomposition method (ADecM) to work for a new type of nonlinear matrix differential equations (MDE's) which arise in general relativity (GR) and possibly in other applications.
Adomian G, Azreg-Aïnou M, Azreg-Aïnou M, Azreg-Aïnou M, Azreg-Aïnou M, Azreg-Aïnou M, Campbell S L, Diţă P Grama N, Lancaster P, Linet B, Mustapha Azreg-Aïnou, Wild W   +11 more
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Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions

Advances in Nonlinear Analysis, 2017
We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter λ. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections ...
Papageorgiou Nikolaos S., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
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Differential constraints and exact solutions of nonlinear diffusion equations

, 2002
The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in
Andreev V K, Aristov S N, Clarkson P A, Dorodnitsyn V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Golubev V V, Goursat E, Igor V Verevkin, King J R, King J R, King J R, Levi D, Nariboli G A, Oleg V Kaptsov, Olver P, Olver P, Olver P J, Ovsiannikov L V, Pommaret J E, Pukhnachev V V, Schmidt A V, Schmidt A V, Whittaker E T   +24 more
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On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations

Advances in Nonlinear Analysis, 2017
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
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Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada, Salim Abdelkrim, Benchohra Mouffak   +2 more
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Nonhomogeneous nonlinear oscillator with damping: asymptotic analysis in continuous and discrete time

Demonstratio Mathematica, 2019
We consider the following second order evolution equation modelling a nonlinear oscillator with ...
Rouhani Behzad Djafari, Piranfar Mohsen Rahimi   +1 more
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Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
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