A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation

DOI10.1007/s10114-004-0459-3zbMath1092.34022OpenAlexW2111380352MaRDI QIDQ2581259

Mei Yue Jiang

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-004-0459-3

zbMATH Keywords

periodic solutionsasymmetric oscillator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (11)

Periodic solutions of p-Laplacian differential equations with jumping nonlinearity across half-eigenvalues ⋮ A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems ⋮ Double resonance for one-sided superlinear or singular nonlinearities ⋮ Planar Hamiltonian systems at resonance: the Ahmad-Lazer-Paul condition ⋮ The spectrum of the periodic \(p\)-Laplacian ⋮ ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION FOR RAYLEIGH TYPE p-LAPLACIAN EQUATION ⋮ Periodic solutions of indefinite planar systems with asymmetric nonlinearities via rotation numbers ⋮ Periodic solutions of some resonant Hamiltonian systems ⋮ Existence of periodic solutions for a class of \(p\)-Laplacian equations ⋮ Solvability of the resonant 1-dimensional periodic \(p\)-Laplacian equations ⋮ From ODE to DDE

Cites Work

• Unnamed Item
• Nonlinear resonance in asymmetric oscillators
• Symplectic transformations and periodic solutions of Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• Boundary-value problems for weakly nonlinear ordinary differential equations
• Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities
• Oscillations of a forced asymmetric oscillator at resonance
• Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities

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