Existence and Destruction of Kantorovich Main Continuous Solutions of
Nonlinear Integral Equations [PDF]
Denis N. SidorovThe 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.View original: http://arxiv.org/abs/1302.7235
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