Non-convex perturbations of evolution equations with -dissipative operators in Banach spaces
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1989)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Existence of monotone solutions for nonhnear perturbed differential inclusions.”
Non-convex perturbations of evolution equations with -dissipative operators in Banach spaces
Nonlinear functional analysis and nonlinear partial differential equations
Browder, E.
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Functional evolution equations with nonconvex lower semicontinuous multivalued perturbations.
Ibrahim, A.G. (1998)
International Journal of Mathematics and Mathematical Sciences
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Topological structure of solution sets of differential inclusions: the constrained case.
Kryszewski, Wojciech (2003)
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Near viability for fully nonlinear differential inclusions
Irina Căpraru, Alina Lazu (2014)
Open Mathematics
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We consider the nonlinear differential inclusion x′(t) ∈ Ax(t) + F(x(t)), where A is an m-dissipative operator on a separable Banach space X and F is a multi-function. We establish a viability result under Lipschitz hypothesis on F, that consists in proving the existence of solutions of the differential inclusion above, starting from a given set, which remain arbitrarily close to that set, if a tangency condition holds. To this end, we establish a kind of set-valued Gronwall’s lemma...
Minimal convex-valued weak USCO correspondences
Luděk Jokl (1987)
Commentationes Mathematicae Universitatis Carolinae
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Brief survey of semigroup theory and its applications to evolution problems.
Carlos B. Navarro (1978)
Stochastica
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Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces
Mouffak Benchohra (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.
Compactness in certain abstract function spaces with application to differential inclusions
N. U. Ahmed (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this note we present a result on compactness in certain Banach spaces of vector valued functions. We demonstrate an application of this result to the questions of existence of solutions of nonlinear differential inclusions on a Banach space.