On the existence of periodic solutions for the equations Dttu + (−1)p Dx2pu = ϵf; (·, ·, u)
✍ Scribed by William S Hall
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 740 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
Bifurcations of periodic solutions are studied for certain types of weakly perturbed partial differential equations. It is shown that a bifurcation occurs for almost all (in the sense of the Lebesque measure) periodic small perturbations. A generalized implicit function theorem is applied. (" 1995 A
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