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In this study, we consider the singular Sturm-Liouville (S-L) problem with transmission conditions (TC). The eigenvalues of the singular S-L problem with TC are investigated. By defining a new Hilbert… Click to show full abstract
In this study, we consider the singular Sturm-Liouville (S-L) problem with transmission conditions (TC). The eigenvalues of the singular S-L problem with TC are investigated. By defining a new Hilbert space which is related to TC, the self-adjointness of the S-L problem in this associated Hilbert space is proved. And we give the condition for $$\lambda $$ λ being the eigenvalue of the singular S-L problem. Furthermore, the asymptotic behavior of eigenvalues of the singular S-L problem is described.
Keywords:
sturm liouville;
liouville problem;
eigenvalues singular;
problem transmission;
singular sturm;
problem
Journal Title: Differential Equations and Dynamical Systems
Year Published: 2020
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Journal Title: Differential Equations and Dynamical Systems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!