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Article

Fečkan, Michal ; Kollár, Richard
Discontinuous wave equations and a topological degree for some classes of multi-valued mappings. (English). Applications of Mathematics, vol. 44 (1999), issue 1, pp. 15-32
MSC: 35L05, 35L70, 47H17, 58C06 | MR 1666854 | Zbl 1060.35524 | DOI: 10.1023/A:1022216119044
Keywords:
discontinuous wave equations; topological degree; multi-valued mappings
Summary:
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.
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