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Periodic solutions for nonlinear differential equations with maximal monotone terms

✍ Scribed by Shouchuan Hu; Nikolaos S. Papageorgiou

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
156 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

We examine nonlinear periodic problems for scalar and vector di erential equations involving a maximal monotone operator which is not necessarily deΓΏned everywhere. In the scalar case, the nonlinear di erential operator depends on both x and x , linearly in x , while in the vector case the di erential operator depends only on x and is a generalization of the p-Laplacian. Our approach is based on the theory of operators of monotone type and on the Leray-Schauder principle.

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