Journal of Applied Mathematics (Jan 2014)
A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
Abstract
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral equations for estimation is given.