Geodesic
A periodic boundary value problem in Hilbert space
Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 347-358.

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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.
DOI : 10.21136/MB.1994.126123
Classification : 34B15, 34C25, 34G20, 47H15, 47N20
Keywords: Leray-Schauder theorem; periodic boundary value problem; existence; uniqueness; periodic solutions; convexity of set of solutions 
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     author = {Rudolf, Boris},
     title = {A periodic boundary value problem in {Hilbert} space},
     journal = {Mathematica Bohemica},
     pages = {347--358},
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     zbl = {0815.34059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126123/}
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Rudolf, Boris. A periodic boundary value problem in Hilbert space. Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 347-358. doi : 10.21136/MB.1994.126123. http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126123/

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