Results 81 to 90 of about 552 (107)

Existence of μ-Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial Evolution Equations

Journal of Partial Differential Equations, 2018
In this paper, we use a recent works [5], where the authors provide a new approach for pseudo almost periodic solution under the measure theory, under AcquistpaceTerreni conditions, we make extensive use of interpolation spaces and exponential dichotomy ...
Baazaoui Riadh
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
core   +2 more sources

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SOME NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS

, 2018
In this work, we establish several results about the existence and uniqueness of solutions for some neutral differential equations with state-dependent delays.
K. Daoudi, J. Henderson, A. Ouahab
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
core   +1 more source

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
doaj   +1 more source

On the relationship between convergence rates of discrete and continuous dynamical systems [PDF]

, 2004
Considering iterative sequences that arise when the approximate solution to a numerical problem is updated by evaluating a vector field at the current iterate, we derive necessary and sufficient conditions for this procedure to converge to a stationary ...
Hauser, Raphael, Nedic, Jelena
core   +1 more source