This paper is concerned with the existence and stability of periodic solutions for a coupled system of nonlinear parabolic equations under nonlinear boundary conditions. The approach to the problem is by the method of upper and lower solutions and its associated monotone iterations. This method lead
Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions
โ Scribed by Qunying Zhang; Zhigui Lin
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 524 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
We study boundary value problems for quasilinear parabolic equations when the initial condition is replaced by periodicity in the time variable. Our approach is to relate the theory of such problems to the classical theory for initial-boundary value problems. In the process, we generalize many previ
Recently much work has been devoted to periodic-parabolic equations with linear homogeneous boundary conditions. However, very little has been accomplished in the literature for periodic-parabolic problems with nonlinear boundary conditions. It is the purpose of this paper to prove existence and reg