Decomposition of Linear Singularly Perturbed Functional Differential Equations

• Published in: Нелінійні коливання
• Date: 2001
• ISSN: 1562-3076
• Main Authors: Perestyuk, M.O., Cherevko, I.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2001
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174693
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Decomposition of Linear Singularly Perturbed Functional Differential Equations / M.O. Perestyuk, I.M. Cherevko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 345-353. — Бібліогр.: 10 назв. — англ.

We study a system of linear singularly perturbed functional differential equations by using the
 method of integral manifolds. We construct a change of variables that decomposes this system
 into two subsystems: ordinary differential equation on the center manifold and integral equat...