A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables

A generalization of retarded integral inequalities in two independent variables and their applications

The object of this paper is to establish some nonlinear retarded integral inequalities in two independent variables which can be used as handy tools in the theory of partial differential and integral equations with time delays.

Some Retarded Nonlinear Integral Inequalities in Two Variables and Applications

In this paper, some retarded nonlinear integral inequalities in two variables with more than one distinct nonlinear term are established. Our results are also applied to show the boundedness of the solutions of certain partial differential equations.

Nonlinear Retarded Integral Inequalities with Two Variables and Applications

We consider some new nonlinear retarded integral inequalities with two variables, which extend the results in the work of W.-S. Wang 2007 , and the one in the work of Y.-H. kim 2009 . These inequalities include not only a nonconstant term outside the integrals but also more than one distinct nonlinear integrals without assumption of monotonicity. Finally, we give some applications to the bounda...

Nonlinear Integral Inequalities in Two Independent Variables on Time Scales

Some Nonlinear Integral Inequalities in Two Independent Variables

It is well known that the integral inequalities involving functions of one and more than one independent variables which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of differential equations. In the past few years, a number of integral inequalities had been established by many scholars, which are motivated by certain applications. For de...