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- Title
ANTI-PERIODIC PROBLEM FOR SEMILINEAR DIFFERENTIAL INCLUSIONS INVOLVING HILLE–YOSIDA OPERATORS.
- Authors
NGUYEN THI VAN ANH; TRAN DINH KE; DO LAN
- Abstract
In this paper we are interested in the anti-periodic problem governed by a class of semilinear differential inclusions with linear parts generating integrated semigroups. By adopting the Lyapunov–Perron method and the fixed point argument for multivalued maps, we prove the existence of anti-periodic solutions. Furthermore, we study the long-time behavior of mild solutions in connection with anti-periodic solutions. Consequently, as the nonlinearity is of single-valued, we obtain the exponential stability of anti-periodic solutions. An application of theoretical results to a class of partial differential equations will be given.
- Subjects
PARTIAL differential equations; SEMILINEAR elliptic equations; LYAPUNOV functions; SEMIGROUPS (Algebra); EXPONENTS
- Publication
Topological Methods in Nonlinear Analysis, 2021, Vol 58, Issue 1, p275
- ISSN
1230-3429
- Publication type
Article
- DOI
10.12775/TMNA.2021.010