Electron. J. Diff. Eqns., Vol. 2008(2008), No. 136, pp. 1-8.

Properties of solutions to nonlinear dynamic integral equations on time scales

Deepak B. Pachpatte

Abstract:
The main objective of the present paper is to study some basic qualitative properties of solutions of a certain dynamic integral 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 scale.

Submitted September 3, 2008. Published October 9, 2008.
Math Subject Classifications: 39A10, 39A12.
Key Words: Integral equations; time scales; qualitative properties; Banach fixed point theorem; explicit estimates; existence and uniqueness.

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Deepak B. Pachpatte
Department of Mathematics, Dr. B.A.M. University
Aurangabad, Maharashtra 431004, India
email: pachpatte@gmail.com

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