Geodesic
The Sturm--Liouville problem on geometric graph
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 5 (2010), pp. 4-10

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The differential equations on graphs with continuity and balance of flow conditions attract attention of many researches. Meantime, there was noted that modeling of different processes in natural and technical sciences in row of events is described by the equations of Sobolev type. At studying Sobolev type equations the Sturm–Liouville problem appeared. The article generalized the previous results and is devoted to the study of characteristics of eigenvalues and generalized eigenfunctions of the Sturm–Liouville problem on geometric graphs.
Keywords: eigenvalues, eigenfunctions, Sturm–Liouville operator. 
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A. A. Bayazitova. The Sturm--Liouville problem on geometric graph. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 5 (2010), pp. 4-10. http://geodesic.mathdoc.fr/item/VYURU_2010_5_a0/