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.
On solutions of differential inclusions in homogeneous space of functions / A. Baskakov; V. Obukhovski; P. Zecca. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 324, Issue 2:(2006), pp. 1310-1323. [10.1016/j.jmaa.2005.12.058]
On solutions of differential inclusions in homogeneous space of functions
ZECCA, PIETRO
2006
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.File | Dimensione | Formato | |
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BaOZ Diff Incl in homog sp of funct JMAA-2006.pdf
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