Cone-valued impulsive differential and integrodifferential inequalities

Date

2005-06-23

Authors

Ale, Sam Olatunji
Oyediran Oyelami, Benjamin
Sesay, Maligie S.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we present impulsive analogues of the Gronwall-Bellman inequalities. Conditions for the existence of maximal solutions of some integrodifferential equations are obtained by finding upper bounds for these inequalities. Using monotone iterative techniques and a fixed point theorem, we obtained a priori estimates for the inequalities.

Description

Keywords

Strict set contraction, Monotone iterations techniques, Measure of non-compactness, Maximal solutions

Citation

Ale, S. O., Oyediran Oyelami, B., & Sesay, M. S. (2005). Cone-valued impulsive differential and integrodifferential inequalities. <i>Electronic Journal of Differential Equations, 2005</i>(66), pp. 1-14.

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Attribution 4.0 International

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