Asymptotics of regularized solutions of a linear nonautonomous system of advanced differential equations / Dolgii Yu. F.,Surkov P. G. // DIFFERENTIAL EQUATIONS. - 2010. - V. 46, l. 4. - P. 470-488.

ISSN/EISSN:

0012-2661 / нет данных

Type:

Article

Abstract:

For a nonautonomous system of linear advanced differential equations, we find asymptotic formulas analytically determining how the regular solutions of this system on an interval of the positive half-line depend on the admissible error. The problem is solved in the following setting: additional smoothness conditions are imposed on the initial functions, but the boundary conditions providing a continuous extension of the solutions of the Cauchy problem to an interval of the positive half-line are violated.

Author keywords:

нет данных

DOI:

10.1134/S0012266110040026

Web of Science ID:

ISI:000278347900002

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Funding-Acknowledgement	Russian Foundation for Basic Research {[}06-01-00399]; Presidium of RAS {[}13]; Ural-Siberian Project
Funding-Text	The research was supported by the Russian Foundation for Basic Research (project no. 06-01-00399) and the Program for Support of Basic Research of the Presidium of RAS no. 13 ``Mathematical Methods in Nonlinear Dynamics{''} and the Ural-Siberian Project.
Number-of-Cited-References	11
Journal-ISO	Differ. Equ.
Doc-Delivery-Number	605LA