A note on nonlinear oscillations at resonance

DOI10.1007/BF02559915zbMath0648.34040OpenAlexW2012647705MaRDI QIDQ3793009

Pierpaolo Omari, Fabio Zanolin

Publication date: 1987

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559915

zbMATH Keywords

nonresonance condition

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items

Resonance at two consecutive eigenvalues for semilinear elliptic equations, A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems, A continuation approach to superlinear periodic boundary value problems, Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations, Periodic solutions of indefinite planar systems with asymmetric nonlinearities via rotation numbers, On forced nonlinear oscillations for the second order equations with semiquadratic potential, A nonlinear elliptic problem at resonance with a nonsimple eigenvalue, Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance, Nonzero solutions of a nonlinear elliptic system at resonance, Existence of periodic solutions for a class of second order differential equations with deviating argument, Periodic solutions of the second-order forced Liénard equation via time maps, Non-resonance and double resonance for a planar system via rotation numbers, Even periodic solutions of higher order duffing differential equations, Nonresonance Conditions on the Potential for a Second-Order Periodic Boundary Value Problem, Periodic solutions of nonlinear differential equations with double resonance

Cites Work

• Existence results for forced nonlinear periodic BVPs at resonance
• Unbounded perturbations of forced second order ordinary differential equations at resonance
• Expension of some results concerning the generalized Lienard equation
• Nonlinear equations with growth restrictions on the nonlinear term
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Bounded perturbations of forced harmonic oscillators at resonance
• Unbounded Perturbations of Forced Harmonic Oscillations at Resonance
• Some applications of monotone operator theory to resonance problems
• Periodic solutions of the equation $x(t)+g(x(t))=p(t)$
• On the periodic solutions of Hamiltonian systems of second-order
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item