MATH MODELING. INFORMATICS

The third boundary value problem for a loaded Sturm-Liouville operator

M. H. Abregov, F. M. Nakhusheva

Kabardin-Balkar State University named after H.M. Berbekov, 360004, KBR, Nalchik, 173, Chernyshevsky street

Abstract: Necessary and sufficient conditions of singular (univocal) resolution of the third boundary value problem for a loaded Sturm-Liouville operator have been obtained. The uniform evaluation for solving for various cases of unique resolution has been found. The maximum principle for a loaded Sturm-Liouville operator has been proved.

Keywords: loaded Sturm-Liouville operator, third boundary value problem, method of Green’s function, unique resolution, maximum principle.

UDC: 519.633

Received: 24.06.2013

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