On the qualitative properties of solutions for quasilinear periodic mixed problems for equation of parabolic type with nonlocal terms
โ Scribed by Mikhail P. Vishnevskii
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 108 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we are concerned with the existence of periodic solutions of a quasilinear parabolic equation t with the Dirichlet boundary condition, where โ is a smoothly bounded domain in N R and f is a given function periodic in time defined on โ = R. Our results depend on the first eigenvalue o
We consider a very general second order nonlinear parabolic boundary value problem. Assuming the existence of an upper solution . and a lower solution satisfying ., we show that the problem has extremal periodic solutions in the order interval K=[ , .]. Our proof is based on a general surjectivity