In this paper, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (VHIESK) is proved by using Banach fixed point theorem (BFPT) in the space ] , 0 [ ) ( 2 T C L   , where  represents the domain of integration of the variable space and T is the time. Then, different kinds of projectioniteration methods (PIMs) for solving this integral equation in t...

The study aims to identify production function equation between labor and capital into the first order Volterra Integral. This research find that in case of cooperative Indonesia, first, did not correlate with output production. Second, integral can be developed only variables by including Kernel factor which includes equity loan or liability elements. However, object is type business, even tho...

we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.

We investigate the long term behavior of solutions to a stochastic Volterra integro-differential equation with a fading memory; the fading memory is represented by using a decaying exponential convolution kernel. We give sufficient conditions for asymptotic mean square stability of the solution. In a similar spirit, we investigate the long term behavior of solutions to discrete analogues of the...