A Variational Approach towards Solving an Ill-Posed Cauchy Problem for a Functional-Differential Equation / Dolgii Yu. F.,Surkov P. G. // FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA. - 2016. - V. 59, l. 2. - P. 157-183.

ISSN/EISSN:

0532-8721 / нет данных

Type:

Article

Abstract:

We investigate an ill-posed Cauchy problem for a linear functional differential equation of retarded type on the negative half-line. Using a step-by-step procedure this problem is replaced by an inverse problem for an operator equation of the first kind in a functional space. The Tikhonov's method is then used for finding solutions. We also construct special boundary value problems for the functional differential equations. Solutions of these boundary value problems determine regularized solutions of the ill-posed Cauchy problem by the step-by-step procedure.

Author keywords:

Linear functional differential equation; Ill-posed problems

DOI:

нет данных

Web of Science ID:

ISI:000380625100001

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	AUG
Publisher	KOBE UNIV, DEPT MATHEMATICS
Address	FACULTY SCIENCE, KOBE, 657-8501, JAPAN
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Yurii.Dolgii@usu.ru Platon.Surkov@gmail.com
Number-of-Cited-References	12
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	2
Journal-ISO	Funkc. Ekvacioj-Ser. Int.
Doc-Delivery-Number	DS2PD