Global existence and estimates of the solutions to nonlinear integral equations

TL;DR

This paper proves the global existence of solutions for a class of nonlinear integral equations and provides estimates of these solutions as time approaches infinity.

Contribution

It introduces new conditions under which solutions to nonlinear integral equations exist globally and derives their asymptotic estimates.

Findings

Solutions exist globally under specified conditions.

Asymptotic estimates of solutions are provided as t approaches infinity.

The results extend previous understanding of nonlinear integral equations.

Abstract

It is proved that nonlinear integral equations of certain class have global solution and estimates of the solution are given as $t\to \infty$.