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Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of certain classes of singular differential equations...

Some new nonlinear retarded sum-difference inequalities with applications

The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These inequalities given here can be used as handy tools in the study of boundary value problems in partial difference equations. 2000 Mathematics Subject Classification: 26D10; 26D15; 26D20.

Some new nonlinear retarded sum-difference inequalities with applications

The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These inequalities given here can be used as handy tools in the study of boundary value problems in partial difference equations. 2000 Mathematics Subject Classification: 26D10; 26D15; 26D20.

A New Nonlinear Retarded Integral Inequality and Its Application

The main objective of this paper is to establish a new retarded nonlinear integral inequality with two variables, which provide explicit bound on unknown function. This inequality given here can be used as tool in the study of integral 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...