Advances in Dynamical Systems and Applications
  • Year: 2008
  • Volume: 3
  • Issue: 1

Nonlinear dynamic integral inequalities in two independent variables on time scale pairs1

  • Author:
  • Douglas R. Anderson
  • Total Page Count: 13
  • Page Number: 1 to 13

Concordia College, Department of Mathematics and Computer Science, Moorhead, MN, 56562, USA

AMS subject classification: 26D15, 26D20, 39A12.

Abstract

We extend from the discrete case some nonlinear inequalities in two independent variables to a more general dynamic setting involving pairs of time scales. These inequalities provide explicit bounds on unknown functions, which can be useful in the study of qualitative properties of solutions of certain classes of dynamic equations on time scales. Several examples are provided.

Keywords

Dynamic equations, time scales, integral inequalities, Pachpatte in-equalities