Resonant and nonresonant oscillations for some third order nonlinear ordinary differential equations

DOI10.1016/0362-546X(88)90098-3zbMath0676.34021OpenAlexW2011591234MaRDI QIDQ3831288

J. O. C. Ezeilo, M. N. Nkashama

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90098-3

zbMATH Keywords

resonanceCaratheodory functionthird order differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (10)

Unnamed Item ⋮ Existence of periodic solutions for nonlinear fully third-order differential equations ⋮ Unnamed Item ⋮ Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems ⋮ Resonant and nonresonant oscillations for some third order nonlinear ordinary differential equations ⋮ Unnamed Item ⋮ Periodic solutions of a resonant third-order equation ⋮ Periodic solutions of asymptotically positively homogeneous differential equations ⋮ Nonresonance conditions for asymptotically positively homogeneous differential systems: The Fučik spectrum and its generalization ⋮ Unnamed Item

Cites Work

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• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• Periodic solutions of some forced Liénard differential equations at resonance
• Expension of some results concerning the generalized Lienard equation
• Resonant and nonresonant oscillations for some third order nonlinear ordinary differential equations

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