Duffing equation and action functional

DOI10.1016/J.NA.2010.11.042zbMath1211.34023OpenAlexW2077874799MaRDI QIDQ631709

Petr Tomiczek

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.042

zbMATH Keywords

critical pointvariational methodsecond order ODEperiodic problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• Rate of decay of stable periodic solutions of Duffing equations
• The Duffing equation with the potential Landesman-Lazer condition
• Multiplicity of periodic solutions for Duffing equations under nonuniform non-resonance conditions

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