Work

A-Priori Estimates for the Solutions of a Class of Nonlinear Convolution Equations

Year: 1991

Type: article

Abstract: We present sharp two-sided a-priori estimates for the solutions of a class of nonlinear Volterra integral equations in the cone of non-negative continuous functions. These estimates enable us to construct a complete metric space which is invariant under the nonlinear convolution operator considered here and to prove that the equation induced by this operator has a unique solution in this space as well as in the class of all non-negative continuous functions vanishing at the origin.

Source: Zeitschrift für Analysis und ihre Anwendungen

DOI: 10.4171/zaa/442

Authors: Sultan N. Askhabov, M.A. Betilgiriev

Institution: Chechen State University

Language: German

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2390846696

FWCI:

Cites:

Cited by: 5

Related to: 10