The eigenvalue problem with interaction conditions at one interior singular point

Autor:	Kadriye Aydemir, Oktay Mukhtarov Sh.
Rok vydání:	2017
Předmět:	010101 applied mathematics General Mathematics 010102 general mathematics Mathematical analysis Mathematics::Spectral Theory 0101 mathematics Singular point of a curve 01 natural sciences Eigenvalues and eigenvectors Mathematics
Zdroj:	Filomat. 31:5411-5420
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1717411m
Popis:	Some physical processes, both classical physics and quantum physics reduced to eigenvalue problems for Sturm-Liouville equations. In the recent years there has been an increasing interest in discontinuous eigenvalue problems for various Sturm-Liouville type equations. Such problems are connected with heat transfer problems, vibrating string problems, diffraction problems and etc. In this study we shall investigate a class of two order eigenvalue problem with supplementary transmission conditions at one interior singular point. We give an operator-theoretic interpretation in suitable Hilbert space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8d73ac0fed65d384886bfc89d38a1205 https://doi.org/10.2298/fil1717411m Zobrazit plný text záznamu