Solvability of a periodic type boundary value problem for first order scalar functional differential equations

Hakl, Robert   ; Lomtatidze, Alexander   ; Šremr, Jiří

Archivum mathematicum, Tome 40 (2004) no. 1, pp. 89-109

Abstract (VO)

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 $.

Détail

Keywords: functional differential equation; periodic type boundary value problem; solvability; unique solvability

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