Properties of some nonlinear partial dynamic equations on time scales

Deepak B. Pachpattea,*

Properties of some nonlinear partial dynamic equations on time scales

Authors :

Deepak B. Pachpatte^a,*

Author Address :

^aDepartment of Mathematics, Dr. Babasaheb Ambedekar Marathwada University, Aurangabad, Maharashtra-431004, India.

*Corresponding author.

Abstract :

The aim of the present paper is to study some basic qualitative properties of solutions of certain nonlinear partial dynamic equations on time scales. The tools employed are application of Banach fixed point theorem and a variant of certain fundamental integral inequality with explicit estimates on time scales.

Keywords :

Dynamic equations, time scales, qualitative properties, inequalities with explicit estimates.

DOI :

Article Info :

Received : May 21, 2012; Accepted : June 08, 2013.