Friday, March 1, 2013

1302.7235 (Denis N. Sidorov)

Existence and Destruction of Kantorovich Main Continuous Solutions of
Nonlinear Integral Equations

Denis N. Sidorov
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.
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