Nonlinear resonance in asymmetric oscillations.

DOI10.1016/S0096-3003(02)00300-4zbMath1042.34076OpenAlexW2027016931MaRDI QIDQ1399735

Xiaojing Yang

Publication date: 30 July 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00300-4

zbMATH Keywords

topological degreeresonanceasymmetric oscillationssmall damping

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Nonlinear ordinary differential operators (34L30)

Cites Work

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• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• An existence theorem for periodic solutions of nonlinear ordinary differential equations
• Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities
• Roots of unity and unbounded motions of an asymmetric oscillator
• Bifurcations from infinity in asymmetric nonlinear oscillators
• Boundary-value problems for weakly nonlinear ordinary differential equations
• Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities

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