Minimality properties of Sturm-Liouville problems with increasing affine boundary conditions

DOI10.1007/978-3-030-51945-2_3zbMath1477.34045OpenAlexW3140620339MaRDI QIDQ1980904

Yagub N. Aliyev

Publication date: 9 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-51945-2_3

zbMATH Keywords

root functionsSturm-Liouvilleeigenparameter-dependent boundary conditionsminimal system

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.
• Basis properties of root functions of differential operators with spectral parameter in the boundary conditions
• Minimality of the system of root functions of Sturm–Liouville problems with decreasing affine boundary conditions
• Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions
• The basis property in L_pof the boundary value problem rationally dependent on the eigenparameter
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