APPLICATIONS OF MATHEMATICS, Vol. 44, No. 1, pp. 15-32, 1999

Discontinuous wave equations and a topological degree for some classes of multi-valued mappings

Michal Feckan, Richard Kollar

Michal Feckan, Department of Mathematical Analysis, Comenius University, Mlynska dolina, 842 15 Bratislava, Slovakia; Richard Kollar, Institute of Applied Mathematics, Comenius University, Mlynska dolina, 842 15 Bratislava, Slovakia

Abstract: The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.

Keywords: discontinuous wave equations, topological degree, multi-valued mappings

Classification (MSC 1991): 35L05, 47H17, 58C06

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