Asymptotic behavior of eigenvalues and eigenfunctions of Sturm-Liouville problems with coupled boundary conditions and transmission conditions

DOI10.7153/oam-09-51zbMath1344.34094OpenAlexW2508279352MaRDI QIDQ2814826

Ji-jun Ao, Dan Mu, Jiong Sun

Publication date: 23 June 2016

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-09-51

zbMATH Keywords

eigenvalueseigenfunctionsSturm-Liouville problemsasymptotic formulas

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

The modified Parseval equality of Sturm-Liouville problems with coupled boundary condition ⋮ Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions

Cites Work

• Boundary value problems with eigenvalue-dependent boundary and transmission conditions
• The determinants of dissipative Sturm-Liouville operators with transmission conditions
• Inverse nodal and inverse spectral problems for discontinuous boundary value problems
• Completeness of eigenfunctions of Sturm-Liouville problems with transmission conditions
• Sturm-Liouville differential operators in direct sum spaces
• Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter in the boundary conditions.
• Eigenvalues and normalized eigenfunctions of discontinuous Sturm-Liouville problem with transmission conditions
• Inverse nodal problems of discontinuous Sturm-Liouville operator
• Green's function method for self-adjoint realization of boundary-value problems with interior singularities
• ON NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF CARATHÉODORY SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
• Boundary value problems with discontinuity conditions in an interior point of the interval

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