Results 21 to 30 of about 402 (78)
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 525-541, 2004., 2004 We investigate the existence of mild solutions on acompact interval to some classes of semilinear neutral functional differential inclusions. We will rely on a fixed‐point theorem for contraction multivalued maps due to Covitz and Nadler and on Schaefer′s fixed‐point theorem combined with lower semicontinuous multivalued operators with decomposable ...
M. Benchohra, E. Gatsori, S. K. Ntouyas
wiley +1 more source
Open Mathematics, 2018 This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in
Zhang Xuping, Chen Qiyu, Li Yongxiang
doaj +1 more source
On a nonlinear compactness lemma in Lp(0, T; B)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1725-1730, 2003., 2003 We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic‐parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus ...
Emmanuel Maitre
wiley +1 more source
A class of abstract quasi-linear evolution equations of second order [PDF]
, 1999 In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
Tanaka, Naoki
core +2 more sources
The Kneser property for abstract retarded functional differential equations with infinite delay
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 26, Page 1645-1661, 2003., 2003 We establish existence of mild solutions for a class of semilinear first‐order abstract retarded functional differential equations (ARFDEs) with infinite delay and we prove that the set consisting of mild solutions for this problem is connected in the space of continuous functions.
Hernán R. Henríquez
wiley +1 more source
Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces
Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 65-79, 2003., 2003 We prove the existence of mild and strong solutions of integrodifferential equations with nonlocal conditions in Banach spaces. Further sufficient conditions for the controllability of integrodifferential systems are established. The results are obtained by using the Schauder fixed‐point theorem. Examples are provided to illustrate the theory.
K. Balachandran, J. Y. Park
wiley +1 more source
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 163-170, 2003., 2003 The existence of mild solutions of Sobolev‐type semilinear mixed integrodifferential inclusions in Banach spaces is proved using a fixed point theorem for multivalued maps on locally convex topological spaces.
M. Kanakaraj, K. Balachandran
wiley +1 more source
, 2022 We investigate the long time behavior of solutions to semilinear hyperbolic equation (E$_{\alpha}$): $ u^{\prime\prime}(t)+\gamma(t)u^{\prime}(t)+Au(t)+f(u(t))=g(t),~t\geq0, $ where $A$ is a self-adjoint nonnegative operator, $f$ a function which derives
Balti, Mounir, May, Ramzi
core
Integrodifferential equations with analytic semigroups
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003 In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
wiley +1 more source
CONTROLLABILITY OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS VIA SEMIGROUP THEORY IN BANACH SPACES [PDF]
, 2012 This paper focuses on controllability results of fractional integrodifferential systems in Banach spaces. We obtain sufficient conditions for the controllability results by using fractional calculus, semi-group theory and the fixed point ...
Bragdi, Mabrouk, Hazi, Mohammed
core +1 more source