Geodesic
The third boundary value problem for a loaded Sturm-Liouville operator
News of the Kabardin-Balkar scientific center of RAS, no. 5 (2013), pp. 7-12

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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, maximum principle.
Mots-clés : unique resolution 
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M. H. Abregov; F. M. Nakhusheva. The third boundary value problem for a loaded Sturm-Liouville operator. News of the Kabardin-Balkar scientific center of RAS, no. 5 (2013), pp. 7-12. http://geodesic.mathdoc.fr/item/IZKAB_2013_5_a0/