Nonimprovable sufficient conditions for the solvability and unique solvability of the problem \[ u^{\prime }(t)=F(u)(t)\,,\qquad u(a)-\lambda u(b)=h(u) \] are established, where $F:\rightarrow $ is a continuous operator satisfying the Carathèodory conditions, $h:\rightarrow R$ is a continuous functional, and $\lambda \in $.
@article{107893,
author = {Robert Hakl and Alexander Lomtatidze and Ji\v r\'\i\ \v Sremr},
title = {Solvability of a periodic type boundary value problem for first order scalar functional differential equations},
journal = {Archivum Mathematicum},
volume = {040},
year = {2004},
pages = {89-109},
zbl = {1117.34061},
mrnumber = {2054875},
language = {en},
url = {http://dml.mathdoc.fr/item/107893}
}
Hakl, Robert; Lomtatidze, Alexander; Šremr, Jiří. Solvability of a periodic type boundary value problem for first order scalar functional differential equations. Archivum Mathematicum, Tome 040 (2004) pp. 89-109. http://gdmltest.u-ga.fr/item/107893/
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