Geodesic
Non-compact perturbations of $m$-accretive operators in general Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 403-409.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1992__33_3_a3,
     author = {Cicho\'n, Mieczys{\l}aw},
     title = {Non-compact perturbations of $m$-accretive operators in general {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {403--409},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {1992},
     mrnumber = {1209283},
     zbl = {0770.58003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a3/}
}
TY  - JOUR
AU  - Cichoń, Mieczysław
TI  - Non-compact perturbations of $m$-accretive operators in general Banach spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1992
SP  - 403
EP  - 409
VL  - 33
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a3/
LA  - en
ID  - CMUC_1992__33_3_a3
ER  - 
%0 Journal Article
%A Cichoń, Mieczysław
%T Non-compact perturbations of $m$-accretive operators in general Banach spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1992
%P 403-409
%V 33
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a3/
%G en
%F CMUC_1992__33_3_a3
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/