this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.

This article presents a survey of various methods for nonparametric identification of nonlinear systems. Nonparametric identification methods are those that measure Wiener kernels or Volterra kernels, since an output of a nonlinear system can be described by the convolution integral of Wiener or Volterra kernels and the system input. Section 1 highlights the representation methods of nonlinear ...

Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using...

Abstract In this expository article, we discuss the evaluation and estimation of operator norms various functions Volterra operator.

A parsimonious parameterization scheme is proposed to model the sparse Volterra filter so that the number of Volterra kernels to be estimated is greatly reduced. Representing the Volterra filter using a linear vector equation, the genetic algorithm is applied to search the significant terms among all possible candidate vectors. As the significant terms are detected, the associated Volterra kern...

The goal of this article is to offer a series results related the existence and properties wavefront solutions for doubly nonlinear diffusion–reaction equations involving p-Laplacian operator in terms constitutive functions problem. These are derived from analysis singular Volterra integral that appear study monotone travelling-wave such equations. Our extend ones due B. Gilding R. Kersner case...

A new generalized Yosida inclusion problem, involving A-relaxed co-accretive mapping, is introduced. The resolvent and associated approximation operator construed a few of its characteristics are discussed. existence result quantified in q-uniformly smooth Banach spaces. four-step iterative scheme proposed convergence analysis Our theoretical assertions illustrated by numerical example. In addi...

For p ≥ 1, taking the p-th root of this sup yields a norm and with this norm H(D) is a Banach space. When p = 2, this is Hilbert space and identifying the Taylor coefficients of such an f with a sequence we obtain an isometry from H(D) onto the classical sequence space l. In addition, there is a natural identification of functions in H(D) with functions in a closed subspace of L(T) by way of th...