Some dynamic inequalities applicable to partial integrodifferential equations on time scales

Deepak B. Pachpatte

Address: Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra 431004, India

E-mail: pachpatte@gmail.com

Abstract: The main objective of the paper is to study explicit bounds of certain dynamic integral inequalities on time scales. Using these inequalities we prove the uniqueness of some partial integrodifferential equations on time scales.

AMSclassification: primary 26E70; secondary 34N05.

Keywords: explicit bounds, integral inequality, dynamic equations, time scales.

DOI: 10.5817/AM2015-3-143