Geodesic
Non-compact perturbations of $m$-accretive operators in general Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 403-409 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we deal with the Cauchy problem for differential inclusions governed by $m$-accretive operators in general Banach spaces. We are interested in finding the sufficient conditions for the existence of integral solutions of the problem $x'(t)\in -A x(t)+f(t,x(t))$, $x(0)=x_0$, where $A$ is an $m$-accretive operator, and $f$ is a continuous, but non-compact perturbation, satisfying some additional conditions.
In this paper we deal with the Cauchy problem for differential inclusions governed by $m$-accretive operators in general Banach spaces. We are interested in finding the sufficient conditions for the existence of integral solutions of the problem $x'(t)\in -A x(t)+f(t,x(t))$, $x(0)=x_0$, where $A$ is an $m$-accretive operator, and $f$ is a continuous, but non-compact perturbation, satisfying some additional conditions.
Classification : 34A60, 34G20, 47H06, 47H09, 47H20, 47N20, 58D25
Keywords: $m$-accretive operators; measures of noncompactness; differential inclusions; semigroups of contractions 
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Cichoń, Mieczysław. Non-compact perturbations of $m$-accretive operators in general Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 403-409. http://geodesic.mathdoc.fr/item/CMUC_1992_33_3_a3/

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