Results 31 to 40 of about 57 (56)
The initial boundary value problem of a mixed‐typed hemivariational inequality
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 43-52, 2001., 2001 A mixed‐typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi‐valued term is studied, and the existence and decay of solutions are established.
Guo Xingming
wiley +1 more source
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley +1 more source
On second‐order multivalued impulsive functional differential inclusions in Banach spaces
Abstract and Applied Analysis, Volume 6, Issue 6, Page 369-380, 2001., 2001 A fixed point theorem for condensing maps due to Martelli is used to investigate the existence of solutions to second‐order impulsive initial value problem for functional differential inclusions in Banach spaces.
M. Benchohra +2 more
wiley +1 more source
Nonlocal conditions for differential inclusions in the space of functions of bounded variations
Advances in Difference Equations, 2011 We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Boucherif Abdelkader, Agarwal Ravi
doaj
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 +2 more
doaj +1 more source
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. +2 more
doaj +1 more source
Demonstratio Mathematica, 2019 We consider the following second order evolution equation modelling a nonlinear oscillator with ...
Rouhani Behzad Djafari +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
doaj