On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations

• Published in: Нелінійні коливання
• Date: 2016
• ISSN: 1562-3076
• Main Author: Dilna, N.Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177247
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations / N.Z. Dilna // Нелінійні коливання. — 2016. — Т. 19, № 2. — С. 203-216 — Бібліогр.: 23 назв. — англ.

We establish some optimal, in a sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second order functional differential equations. The class of equations considered covers, in particular, neutral type equations. Concrete example is...