DEPENDENCE OF EIGENVALUES OF SIXTH-ORDER BOUNDARY VALUE PROBLEMS ON THE BOUNDARY

DOI10.1017/S0004972714000598zbMath1308.34115MaRDI QIDQ2933693

Qiuxia Yang, Suqin Ge, Wan Yi Wang

Publication date: 5 December 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

eigenvaluessixth-order boundary value problemsboundary condition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Multiple Solutions for a Sixth Order Boundary Value Problem ⋮ Positive solutions to a nonlinear sixth order boundary value problem

Cites Work

• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Eigenvalues variation. II: Multidimensional problems
• Dependence of eigenvalues of a class of fourth-order Sturm-Liouville problems on the boundary
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Spectral theory of ordinary differential operators
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Eigenvalues of regular Sturm-Liouville problems
• Dependence of eigenvalues of Sturm-Liouville problems on the boundary
• An initial value method for the eigenvalue problem for systems of ordinary differential equations
• Regular approximations of singular Sturm-Liouville problems
• Invariant imbedding and the calculation of eigenvalues for Sturm- Liouville systems
• Spline solutions of linear sixth-order boundary-value problems
• Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods
• Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems
• Limits of Sturm–Liouville eigenvalues when the interval shrinks to an end point
• Localised instability in a bénard layer
• Numerical methods for the solution of special sixth-order boundary-value problems
• Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign

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