On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type

• Published in: Нелінійні коливання
• Date: 2003
• Main Authors: Hakl, R., Lomtatidze, A., Šremr, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176950
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type / R. Hakl, A. Lomtatidze, J. Šremr // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 550-573. — Бібліогр.: 27 назв. — англ.

Nonimprovable, in a certain sense, sufficient conditions are established for the solvability and unique solvability of the boundary-value problem u'(t) = F(u)(t), u(a) + λu(b) = h(u), where F : C([a, b]; R) → L([a, b]; R) is a continuous operator satisfying the Caratheodory conditions, ` h :...