×

Convex and nonconvex perturbations of evolution equations. (Perturbations convexes et non convexes des équations d’évolution.) (French) Zbl 0863.47050

Summary: This paper is concerned with the evolution inclusion \(x'\in-Ax+F(t,x)\), where \(A\) is an \(m\)-accretive operator and \(F\) is a weakly compact valued multifunction measurable in \(t\), upper semicontinuous in \(x\). We prove the existence of solutions under various assumptions on the operator \(A\) and the perturbation \(F\).

MSC:

47H20 Semigroups of nonlinear operators
47H06 Nonlinear accretive operators, dissipative operators, etc.
34A60 Ordinary differential inclusions
54C65 Selections in general topology
PDF BibTeX XML Cite
Full Text: EuDML