Existence of periodic solutions of semilinear parabolic equations and the method of upper and lower solutions
โ Scribed by R Kannan; V Lakshmikantham
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 415 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
The existence and multiplicity results of solutions are obtained by the reduction method and the minimax methods for nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known results are generalized. แฎ 2001 Aca- demic Press
We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution : and an upper solution ;, which do not satisfy the ordering condition : ;. Our results yield the existence of unstable solutions, localized by means of : and ;,