On the problem of periodic evolution inclusions of the subdifferential type (Q1811434)
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scientific article; zbMATH DE number 1925962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the problem of periodic evolution inclusions of the subdifferential type |
scientific article; zbMATH DE number 1925962 |
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On the problem of periodic evolution inclusions of the subdifferential type (English)
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2002
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Summary: We examine nonlinear periodic evolution inclusions of the subdifferential type and prove two existence theorems: one for the ``nonconvex, lower-semicontinuous'' problem and the other for the ``convex, \(h\)-upper semicontinuous'' problem. Our method of proof is based on the theory of nonlinear operators of monotone type and on multi-valued analysis. We also present three examples from partial and ordinary differential inclusions, illustrating the applicability of our work.
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convex subdifferential
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maximal monotone operators
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pseudomonotone operators
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operators of type \((S)_+\)
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resolvent
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Yosida approximation
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variational inequalities
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