Title

Some Results for Integral Inclusions of Volterra Type in Banach Spaces

Authors

Ravi P. Agarwal
Mouffak Benchohra
Juan Jose Nieto
Abdelghani Ouahab

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.