ASYMPTOTIC DISTRIBUTION OF EIGENVALUES AND EIGENFUNCTIONS OF A NONLOCAL BOUNDARY VALUE PROBLEM

DOI10.3846/mma.2021.13056zbMath1476.34081OpenAlexW3164048124MaRDI QIDQ5016291

Artūras Štikonas, Erdoğan Şen

Publication date: 13 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2021.13056

zbMATH Keywords

differential equationnonlocal conditionsasymptotics of eigenvalues and eigenfunctions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Partial functional-differential equations (35R10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items

Superlinear damped vibration problems on time scales with nonlocal boundary conditions ⋮ Spectral analysis of \(\alpha\)-semi periodic 2-interval Sturm-Liouville problems ⋮ Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions ⋮ Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument ⋮ ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS ⋮ Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions ⋮ Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions ⋮ Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition
• Green's functions for stationary problems with nonlocal boundary conditions
• A discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter
• The Sturm-Liouville problem with a nonlocal boundary condition
• INVESTIGATION OF CHARACTERISTIC CURVE FOR STURM–LIOUVILLE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS ON TORUS
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Class of Sturm–Liouville Problems with Eigenparameter Dependent Transmission Conditions
• EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS
• A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
• INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS
• Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument
• Darcy flow around a two-dimensional permeable lens
• Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition
• Resolvent operator and spectrum of new type boundary value problems
• CHARACTERISTIC FUNCTIONS FOR STURM—LIOUVILLE PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS