The existence of periodic solutions for nonlinear beam equations on by a para‐differential method

DOI10.1002/mma.4758zbMath1400.35186arXiv1711.08069OpenAlexW3106420582MaRDI QIDQ4644196

Yixian Gao, Bochao Chen, Yong Li

Publication date: 30 May 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08069

zbMATH Keywords

iteration schemepara-differential conjugationnonresonant conditions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Periodic solutions to PDEs (35B10) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50) Higher-order semilinear hyperbolic equations (35L76)

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Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients ⋮ Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients

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