Existence and Destruction of Kantorovich Main Continuous Solutions of Nonlinear Integral Equations
Optimization and Control
2013-03-01 v1 Mathematical Physics
math.MP
Abstract
The sufficient conditions are obtained for existence of the main solution of the nonlinear Volterra integral equation of the second kind on the semi-axis and on a finite interval. The method for computation of this boundary interval is designed. Beyond such integral the solution has the blow-up. The efficiency of proposed technique is demonstrated on concrete examples.
Keywords
Cite
@article{arxiv.1302.7235,
title = {Existence and Destruction of Kantorovich Main Continuous Solutions of Nonlinear Integral Equations},
author = {Denis N. Sidorov},
journal= {arXiv preprint arXiv:1302.7235},
year = {2013}
}