Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues

DOI10.1016/j.jmaa.2010.11.061zbMath1222.34017arXiv0911.1019OpenAlexW2040710294MaRDI QIDQ624601

Salvador Villegas, Antonio Cañada Villar

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/0911.1019

zbMATH Keywords

stabilityresonanceperiodic boundary value problemsLyapunov inequalityhigher eigenvalues

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

An applied mathematical excursion through Lyapunov inequalities, classical analysis and differential equations ⋮ Optimal control approach to stability criteria on Hill's equations

Cites Work

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• Existence and uniqueness of periodic solutions for Duffing equations across many points of resonance
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• On a nonlinear two-point boundary value problem
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• Periodic solutions for Duffing equations
• Liapunov-type inequalities and Neumann boundary value problems at resonance
• Certain classes of potentials for p ‐Laplacian to be non‐degenerate
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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