A random nonlinear multivalued evolution equation in Hilbert space
Dimitrios Kravvaritis, Nikolaos S. Papageorgiou (1989)
Colloquium Mathematicae
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Displaying similar documents to “Convergence results for nonlinear evolution inclusions”
A random nonlinear multivalued evolution equation in Hilbert space
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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Functional evolution equations with nonconvex lower semicontinuous multivalued perturbations.
Ibrahim, A.G. (1998)
International Journal of Mathematics and Mathematical Sciences
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On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
Soumia Saïdi, Mustapha Fateh Yarou (2015)
Annales Polonici Mathematici
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On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
Existence and density results for retarded subdifferential evolution inclusions
Tiziana Cardinali, Simona Pieri (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation...
On the structure of the solution set of evolution inclusions with time-dependent subdifferentials
Nikolas S. Papageorgiou, Francesca Papalini (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Some theorems of Scorza-Dragoni type for multifunctions with application to the problem of existence of solutions for differential multivalued equations
Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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Existence of solutions for a class of nonconvex differential inclusions
F. Ancona, G. Colombo (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Boundary value problems for evolution inclusions
Nikolaos S. Papageorgiou (1990)
Annales Polonici Mathematici
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Existence and relaxation results for nonlinear second order evolution inclusions
Stanisław Migórski (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.