Almost-periodicity problem as a fixed-point problem for evolution inclusions
Keywords
Almost-periodic solutions, differential inclusions in Banach spaces, fixed-points, Stepanov almost-periodic forcing, Bohr-Neugebauer-type theorem, condensing operators, existence resultsAbstract
Existence 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.Downloads
Published
2001-12-01
How to Cite
1.
ANDRES, Jan and BERSANI, Alberto M. Almost-periodicity problem as a fixed-point problem for evolution inclusions. Topological Methods in Nonlinear Analysis. Online. 1 December 2001. Vol. 18, no. 2, pp. 337 - 349. [Accessed 29 March 2024].
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