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# Article

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Keywords:
functional differential equation; periodic type boundary value problem; solvability; unique solvability
Summary:
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 $\lambda \in$.
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