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Symmetric Periodic Solutions of Parabolic Problems With Discontinuous Hysteresis

✍ Scribed by Pavel Gurevich; Sergey Tikhomirov


Publisher
Springer US
Year
2011
Tongue
English
Weight
718 KB
Volume
23
Category
Article
ISSN
1040-7294

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On the Existence of Extremal Periodic So
✍ Evgenios P. Avgerinos; Nikolas S. Papageorgiou πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 751 KB

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