Morse's oscillation theorem for a degenerate case

DOI10.1006/jmaa.1997.5335zbMath0872.34004OpenAlexW2061744263MaRDI QIDQ1359555

O. Diekmann

Publication date: 20 October 1997

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5335

zbMATH Keywords

eigenvalue problemdegenerate casegeneral mixed boundary conditionsselfadjoint systemMorse index of the problem

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (1)

Bifurcations of periodic orbits and chaos in damped and driven Morse oscillator

Cites Work

• A comparison theorem for self-adjoint differential equations of second order
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Oscillation Criteria for Second-Order Linear Differential Equations
• Lyusternik-Schnirelman theory: complementary principles and the Morse index
• Solutions of superlinear elliptic equations and their morse indices
• On Separation, Comparison and Oscillation Theorems for Self-Adjoint Systems of Linear Second Order Differential Equations
• Oscillation Criteria for Self-Adjoint Differential Systems
• Comparison Theorems for Linear Differential Equations of Second Order
• Boundary value problems of the calculus of variations
• On maintained convective motion in a fluid heated from below
• On Self-Adjoint Differential Equations of Second Order
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