Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables

A Generalized Volterra-Fredholm Type Integral Inequality For Discontinuous Functions

In recent years many integral inequalities for continuous and discontinuous functions have been established, which provide handy tools for investigating the quantitative and qualitative properties of solutions of integral and differential equations [1-17]. In the investigations for integral inequalities, the idea of generalizing known integral inequalities have gained extensive attention. In [1...

Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications

In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra-Fredholm type integral equations.

Some New Generalized Volterra-Fredholm Type Nonlinear Discrete Inequalities

Abstract: In this paper, we establish some new generalized Volterra-Fredholm type nonlinear discrete inequalities, based on which we study the boundedness of the solutions of a kind of Volterra-Fredholm type sum-difference equation. As a result, New bounds to the solutions are established under some suitable conditions. The established inequalities are further generalizations of the results by ...

On a Generalized Retarded Integral Inequality with Two Variables

A computational method for nonlinear mixed Volterra-Fredholm integral equations

In this article the nonlinear mixed Volterra-Fredholm integral equations are investigated by means of the modied three-dimensional block-pulse functions (M3D-BFs). This method converts the nonlinear mixed Volterra-Fredholm integral equations into a nonlinear system of algebraic equations. The illustrative   examples are provided to demonstrate the applicability and simplicity of our   scheme.