On a periodic type boundary-value problem for first order linear functional differential equations

• Published in: Нелінійні коливання
• Date: 2002
• Main Authors: Hakl, R., Lomtatidze, A., Šremr, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175810
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a periodic type boundary-value problem for first order linear functional differential equations / R. Hakl, A. Lomtatidze, J. Šremr // Нелінійні коливання. — 2002. — Т. 5, № 3. — С. 416-433. — Бібліогр.: 27 назв. — англ.

Nonimprovable sufficient conditions are established for unique solvability of the boundary-value problem u`(t) = l(u)(t) + q(t), u(a) = λu(b) + c, as well as for nonnegativeness of its solution, where l : C([a, b]; R) → L([a, b]; R) is a linear bounded operator, q ∈ L([a, b]; R), λ ∈ R+, and c ∈ R...