Integral comparison theorems and extremal points for linear differential equations

DOI10.1016/0022-0396(83)90034-7zbMath0528.34037OpenAlexW2002044173MaRDI QIDQ787006

Geoffrey Butler, Lynn H. Erbe

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90034-7

zbMATH Keywords

comparison theoremstwo point boundary conditionsdisconjugacyintegral relations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

The principal eigenvalue of some \(n\)th order linear boundary value problems ⋮ A classification of the solutions of a difference equation according to their behavior at infinity ⋮ Minors of the wronskian of the differential equation L_ny+p(x)y=0 ⋮ On the comparison of the \(m\)-th eigenvalue for the equation \(Ly+\lambda q(x)y=0\) ⋮ On an Eigenvalue Problem of Ahmad and Lazer for Ordinary Differential Equations ⋮ Generalized disconjugacy and comparison theorems ⋮ Generalized comparison theorems for disfocality types of the equation \(L_ ny+py=0\)

Cites Work

• Green's functions and disconjugacy
• Necessary conditions and sufficient conditions for disfocality and disconjugacy of a differential equation
• Oscillatory solutions and extremal points for a linear differential equation
• Hille-Wintner Type Comparison Theorems for Second-Order Ordinary Differential Equations
• Hille-Wintner Type Comparison Theorem for Selfadjoint Fourth Order Linear Differential Equations
• On an Extension of the Sturm Comparison Theorem
• Nonlinear Techniques for Linear Oscillation Problems
• A Necessary and Sufficient Condition for Disfocality
• Canonical Forms and Principal Systems for General Disconjugate Equations
• Eigenvalue problems for the equation \(Ly+\lambda p(x)y=0\)

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