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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.

On Volterra-Fredholm integral equation in two variables

Pachpatte B.

Demonstratio Mathematica

2007

Vol. 40, nr 4

839-852

The aim of this paper is to study thexistence, uniqueness and other properties of solution of a certain Volterra-Fredholm integral equation in two independent variables. The main tools employed in the analysis are based on the applications of the well known Banach fixed point theorem and the new integral inequality with explicit estimate.