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Keywords:
Leray-Schauder theorem; periodic boundary value problem; existence; uniqueness; periodic solutions; convexity of set of solutions
Leray-Schauder theorem; periodic boundary value problem; existence; uniqueness; periodic solutions; convexity of set of solutions
Summary:
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
References:
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