Existence and approximation of a solution of boundary value problems for delay integro-differential equations

Autor: Igor Cherevko, Andrew Dorosh
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Journal of Numerical Analysis and Approximation Theory, Vol 44, Iss 2 (2015)
Druh dokumentu: article
ISSN: 2457-6794
2501-059X
Popis: The properties of a solution of the boundary value problems for delay integro-differential equations are investigated, the conditions for the existence and uniqueness of their solution are found. An iterative scheme of finding an approximate solution using cubic splines with defect two is suggested. The sufficient conditions for the convergence of the iterative scheme are obtained.
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