Abstract
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.
Citation
Jan Andres. Alberto M. Bersani. "Almost-periodicity problem as a fixed-point problem for evolution inclusions." Topol. Methods Nonlinear Anal. 18 (2) 337 - 349, 2001.
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