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On solutions of differential inclusions in homogeneous spaces of functions |
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| Authors: | Anatolii Baskakov Pietro Zecca |
| Institution: | a Faculty of Applied Mathematics and Mechanics, Voronezh State University, Universitetskaya pl. 1, 394006 Voronezh, Russia b Faculty of Mathematics, Voronezh State University, Universitetskaya pl. 1, 394006 Voronezh, Russia c Dipartimento di Energetica “S. Stecco”, Università degli Studi di Firenze, Via S. Marta 3, 50139 Firenze, Italy |
| Abstract: | In this paper we study the solvability of some classes of differential inclusions with multivalued linear operators in homogeneous spaces of functions. These spaces include a large number of functional spaces like periodic functions and Bohr and Stepanov almost periodic functions. As an application, we consider some existence results for feedback control systems governed by degenerate differential equations of Sobolev type in a Banach space. |
| Keywords: | Differential inclusions Multivalued linear operators Feedback control systems |
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