Multiple doubly periodic solutions of semi-linear damped beam equations

DOI10.1016/J.NA.2006.07.036zbMath1133.35312OpenAlexW2059181997MaRDI QIDQ885327

Peng Wang, Yukun An

Publication date: 8 June 2007

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.2006.07.036

zbMATH Keywords

topological degree theorydoubly periodic solutionsAmbrosetti-periodic type multiplicity resultssemi-linear damped beam equations

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Higher-order nonlinear hyperbolic equations (35L75)

Cites Work

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• On the inversion of some differentiable mappings with singularities between Banach spaces
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• Ambrosetti-Prodi type result in semi-linear damped beam equations
• Double-periodic boundary value problem for nonlinear dissipative hyperbolic equations
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Periodic solutions of parabolic and telegraph equations with asymmetric nonlinearities

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