Geodesic
Solvability of a periodic type boundary value problem for first order scalar functional differential equations
Archivum mathematicum, Tome 40 (2004) no. 1, pp. 89-109.

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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 $.
Keywords: functional differential equation; periodic type boundary value problem; solvability; unique solvability 
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     author = {Hakl, Robert and Lomtatidze, Alexander and \v{S}remr, Ji\v{r}{\'\i}},
     title = {Solvability of a periodic type boundary value problem for first order scalar functional differential equations},
     journal = {Archivum mathematicum},
     pages = {89--109},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {2004},
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     zbl = {1117.34061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a8/}
}
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Hakl, Robert; Lomtatidze, Alexander; Šremr, Jiří. Solvability of a periodic type boundary value problem for first order scalar functional differential equations. Archivum mathematicum, Tome 40 (2004) no. 1, pp. 89-109. http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a8/