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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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 
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
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