Asymptotics of Regularized Solutions of an Ill-Posed Cauchy Problem for an Autonomous Linear System of Differential Equations with Commensurable Delays / Dolgii Yu F.,Surkov P. G. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2014. - V. 287, l. 1. - P. S55-S67.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

For an autonomous linear system of differential equations with commensurable delays, asymptotic formulas are found that describe the analytic dependences of regularized solutions of the system on the regularization parameter. The problem is solved under the requirement that the initial function is sufficiently smooth but with the violation of the conditions that guarantee the continuous extension of solutions in the direction of decreasing time.

Author keywords:

differential equations with delay; ill-posed problem; asymptotic methods

DOI:

10.1134/S0081543814090065

Web of Science ID:

ISI:000345589100006

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	DEC
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Yurii.Dolgii@usu.ru platon.surkov@gmail.com
Funding-Acknowledgement	Ural-Siberian Interdisciplinary Project; Russian Foundation for Basic Research {[}13-01-00094]; Ural Branch of the Russian Academy of Sciences {[}M-UrO-2013-2]; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text	This work was supported by the Ural-Siberian Interdisciplinary Project, by the Russian Foundation for Basic Research (project no. 13-01-00094), by the Ural Branch of the Russian Academy of Sciences (project no. M-UrO-2013-2), and by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013).
Number-of-Cited-References	14
Usage-Count-Since-2013	2
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	AU4NT