Almost-periodicity problem as a fixed-point problem for evolution inclusions
KeywordsAlmost-periodic solutions, differential inclusions in Banach spaces, fixed-points, Stepanov almost-periodic forcing, Bohr-Neugebauer-type theorem, condensing operators, existence results
AbstractExistence of almost-periodic solutions to quasi-linear evolution inclusions under a Stepanov almost-periodic forcing is nontraditionally examined by means of the Banach-like and the Schauder-Tikhonov-like fixed-point theorems. These multivalued fixed-point principles concern condensing operators in almost-periodic function spaces or their suitable closed subsets. The Bohr-Neugebauer-type theorem jointly with the Bochner transform are employed, besides another, for this purpose. Obstructions related to possible generalizations are discussed.
How to Cite
ANDRES, Jan & BERSANI, Alberto M. Almost-periodicity problem as a fixed-point problem for evolution inclusions. Topological Methods in Nonlinear Analysis [online]. 1 December 2001, T. 18, nr 2, s. 337–349. [accessed 3.12.2021].
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