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On a nonlinear dynamic integrodifferential equation on time scales

Pachpatte D. B.

Journal of Applied Analysis

2010

Vol. 16, nr 2

279-294

The main objective of the present paper is to study some basic qualitative properties of solutions of a certain nonlinear integrodifferential equation on time scales. The tools employed in the analysis are based on the applications of the Banach fixed point theorem and a certain inequality with explicit estimate on time scales.

Explicit bounds on some retarded integral inequalities

Pachpatte B. G.

Fasciculi Mathematici

2005

Nr 35

85-98

In this paper we establish some new retarded integral inequalities which provide explicit bounds on unknown functions. Applications are also given to illustrate the usefulness of one of our results.