Periodic solutions of semilinear evolution equations
✍ Scribed by Jan Prüss
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 758 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper, we study the existence problem of antiperiodic solutions for the following first-order semilinear evolution equation: in a Hilbert space H, where A is a self-adjoint operator, OG is the gradient of G. Existence results are obtained under assumptions that D(A) is compactly embedded in
determined by the initial function is a condensing operator with respect to Kuratowski's measure of non-compactness in a phase space C , and then derive g periodic solutions from bounded solutions by using Sadovskii's fixed point theorem. This extends the study of deriving periodic solutions from bo