On the Problem of Periodic Evolution Inclusions of the Subdifferential Type | Zendy

Ralf M. Bader | Zendy; Νικόλαος Παπαγεωργίου | Zendy

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On the Problem of Periodic Evolution Inclusions of the Subdifferential Type

Author(s) -

Ralf M. Bader,

Νικόλαος Παπαγεωργίου

Publication year - 2002

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1120

Subject(s) - subderivative , type (biology) , mathematics , mathematical economics , calculus (dental) , geology , regular polygon , geometry , medicine , convex optimization , paleontology , dentistry

We examine nonlinear periodic evolution inclusions of the subdifferential type and prove two existence theorems: one for the "non-convex, 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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