Solution to the Volterra Operator Equations of the 1st kind with Piecewise Continuous Kernels

Autor:	Sidorov, Denis, Sidorov, Nikolai
Rok vydání:	2012
Předmět:	Mathematics - Dynamical Systems Mathematics - Functional Analysis Mathematics - Optimization and Control 39B42 45D05 39A10 45M05
Druh dokumentu:	Working Paper
Popis:	The sufficient conditions for existence and uniqueness of continuous solutions of the Volterra operator equations of the first kind with piecewise continuous kernel are derived. The asymptotic approximation of the parametric family of solutions are constructed in case of non-unique solution. The algorithm for the solution's improvement is proposed using the successive approximations method. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.3604 Zobrazit plný text záznamu View this record from Arxiv