Document Type
Article
Publication Title
Advances in Difference Equations
Abstract
We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form: y(t) ∈ ∫0 t a(t-s)[Ay(s)+F(s,y(s)) ]ds,a.e.t ∈ J, where J=[ 0,b ], A is the infinitesimal generator of an integral resolvent family on a separable Banach space E, and F is a set-valued map. Then the Filippov's theorem and a Filippov-Waewski result are proved.
DOI
10.1155/2010/798067
Publication Date
12-6-2010
Recommended Citation
Agarwal, R. P., Benchohra, M., Nieto, J. J., & Ouahab, A. (2010). Some results for integral inclusions of volterra type in banach spaces. Advances in Difference Equations, 2010.