Some Results for Integral Inclusions of Volterra Type in Banach Spaces

被引：2

作者：

Agarwal, R. P. ^{[1
,2
]}

Benchohra, M. ^{[3
]}

Nieto, J. J. ^{[4
]}

Ouahab, A. ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria

[4] Univ Santiago de Compostela, Fac Math, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

PERTURBATION; EXISTENCE; EQUATIONS; MAPS;

D O I：

10.1155/2010/798067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form: y(t) is an element of integral(t)(0) a(t - s)[Ay(s) + F(s,y(s))]ds, a.e. t is an element of 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-Wazewski result are proved.

引用

页数：37

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