Existence and Destruction of Kantorovich Main Continuous Solutions of Nonlinear Integral Equations
arXiv:1302.7235
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.