Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation

• Published in: Нелінійні коливання
• Date: 2014
• Main Author: Tadumadze, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177105
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation / T. Tadumadze // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 503-532 — Бібліогр.: 9 назв. — англ.

Variation formulas for solution are proved for a nonlinear differential equation with constant delays. In this work, the essential novelty is an effect of delay perturbation in the variation formulas. The mixed initial condition means that at the initial moment, some coordinates of the trajectory do...