Eigenvalue problems for the equation \(Ly+\lambda p(x)y=0\)

DOI10.1016/0022-0396(78)90039-6zbMath0351.34014OpenAlexW2065116436MaRDI QIDQ5905896

Uri Elias

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90039-6

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Ordinary differential operators (34L99)

Related Items (24)

Nonoscillation and Eventual Disconjugacy ⋮ Oscillation and nonoscillation criteria for nth-order linear differential equations ⋮ Disconjugacy and Green's functions sign for some two-point boundary value problems for fourth order ordinary differential equations ⋮ Global bifurcation of positive radial solutions of elliptic equations of order \(2m\) in annular domains ⋮ Spectral and oscillatory properties of a linear pencil of fourth-order differential operators ⋮ Global bifurcation in \(2m\)-order generic systems of nonlinear boundary value problems ⋮ On nth-order Sturmian theory ⋮ Disconjugacy and extremal solutions of nonlinear third-order equations ⋮ Nodal solutions for a class of fourth-order two-point boundary value problems ⋮ Nodal solutions of a nonlinear eigenvalue problem of the Euler-Bernoulli equation ⋮ Spectrum of a linear fourth‐order differential operator and its applications ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Bifurcation from interval and positive solutions for a class of fourth-order two-point boundary value problem ⋮ Nodal solutions for nonlinear eigenvalue problems ⋮ Nodal solutions of boundary value problems of fourth-order ordinary differential equations ⋮ Preservation of the Maslov index along bifurcating branches of solutions of first order systems in \(\mathbf {R}^{N}\) ⋮ On an Eigenvalue Problem of Ahmad and Lazer for Ordinary Differential Equations ⋮ Global structure of positive solutions of fourth-order problems with clamped beam boundary conditions ⋮ Solution curves and exact multiplicity results for 2\(m\)th order boundary value problems ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach ⋮ Integral comparison theorems and extremal points for linear differential equations ⋮ Properties of disconjugate linear differential operators ⋮ Nodal solutions for a fourth-order two-point boundary value problem ⋮ Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems

Cites Work

• The extremal solutions of the equation Ly + p(x)y = 0. II
• Disconjugacy
• Total positivity, interpolation by splines, and Green's functions of differential operators
• Self-adjointness for multi-point differential operators
• On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
• A Prufer Transformation for the Equation of the Vibrating Beam
• Nodes of eigenfunctions of a certain class of ordinary differential equations of the fourth order
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
• Disconjugate Linear Differential Operators

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