Results 21 to 30 of about 97 (90)
On a nonlocal Cauchy problem for differential inclusions
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 425-434, 2004., 2004 We establish sufficient conditions for the existence of solutions for semilinear differential inclusions, with nonlocal conditions. We rely on a fixed‐point theorem for contraction multivalued maps due to Covitz and Nadler andon the Schaefer′s fixed‐point theorem combined with lower semicontinuous multivalued operators with decomposable values.
E. Gatsori, S. K. Ntouyas, Y. G. Sficas
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On the Decay of Solutions to a Class of Hartree Equations [PDF]
, 2019 [Venkov George; Венков Георги]2010 Mathematics Subject Classification: 35Q55, 34G20 ...
Tarulli, Mirko, Venkov, George
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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
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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
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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
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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
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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
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Existence of a Mild Solution to a Second-Order Impulsive Functional-Differential Equation with a Nonlocal Condition [PDF]
, 2015 [Covachev Valéry; Ковачев Валери]; [Covacheva Zlatinka; Ковачева Златинка]An abstract second-order semilinear functional-differential equation such that the linear part of its right-hand side is given by the infinitesimal generator of a strongly ...
Akça, Haydar +2 more
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, 2023 In this paper, by using the weakly Picard operators theory, we investigate some existence and Ulam type stability results for a class of Hadamard partial fractional integral inclusions.
BENCHOHRA, Mouffak +3 more
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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
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