Topological properties of the solution set of integrodifferential inclusions
Avgerinos, Evgenios P. ; Papageorgiou, Nikolaos S.
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 429-442 / Harvested from Czech Digital Mathematics Library
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In this paper we examine nonlinear integrodifferential inclusions in $\Bbb R^N$. For the nonconvex problem, we show that the solution set is a retract of the Sobolev space $W^{1,1}(T,{\Bbb R^N})$ and the retraction can be chosen to depend continuously on a parameter $\lambda $. Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retract of $C(T,{\Bbb R^N})$. Finally we prove some continuous dependence results.

Publié le : 1995-01-01
Classification:  34A60,  34K30,  45K05 
@article{118771,
     author = {Evgenios P. Avgerinos and Nikolaos S. Papageorgiou},
     title = {Topological properties of the solution set of integrodifferential inclusions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {429-442},
     zbl = {0836.34019},
     mrnumber = {1364483},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118771}
}

Avgerinos, Evgenios P.; Papageorgiou, Nikolaos S. Topological properties of the solution set of integrodifferential inclusions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 429-442. http://gdmltest.u-ga.fr/item/118771/

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