Work

Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces

Year: 2022

Type: article

Abstract: In this paper we establish the existence of integral solutions for a nonlinear, multivalued evolution equation of the form x(t) € Ax(t) -f F(i,ar(t)), where A : X -• 2* is an m-dissipative operator and F(«, •) a nonconvex valued perturbation.Our result generalizes a recent existence theorem of Cellina-Marchi (Israel J.Math 46 (1983), pp.l~ll).

Source: Publicationes Mathematicae Debrecen

DOI: 10.5486/pmd.1991.38.1-2.11

Authors: E. P. Avgerinos, N. S. Papageorgiou

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W2736752645

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Cited by: 3

Related to: 10