Time periodic solutions to a semilinear beam equation

DOI10.1016/0362-546X(88)90114-9zbMath0657.35089OpenAlexW2006957478WikidataQ59316901 ScholiaQ59316901MaRDI QIDQ3805167

Eduard Feireisl

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90114-9

zbMATH Keywords

existencefree vibrationsOrlicz spacesmonotone operatorssuperlinearinfinitely many solutionssemilinearRayleigh-Ritz variational methodtim-periodic solution

Mathematics Subject Classification ID

Related Items (17)

COMPUTATIONS OF THE COHOMOLOGY GROUPS WITH APPLICATIONS TO ASYMPTOTICALLY LINEAR BEAM EQUATIONS AND NONCOOPERATIVE ELLIPTIC SYSTEMS1* ⋮ Periodic solutions of a quasilinear wave equation with homogeneous boundary conditions ⋮ Homotopical linking and Morse index estimates in min-max theorems ⋮ On periodic solutions of a beam vibration equation ⋮ Problem on periodic vibrations of an I-beam with clamped endpoint in the resonance case ⋮ Infinitely many periodic solutions for the quasi-linear Euler-Bernoulli beam equation with fixed ends ⋮ Periodic solutions to quasilinear oscillation equations for cables and beams ⋮ Remarks on a class of elliptic problems with asymmetric nonlinearities ⋮ Periodic solutions to the vibration equation of a beam with a rigidly clamped endpoint and an elastically fixed endpoint ⋮ Time periodic solutions to a nonlinear wave equation with \(x\)-dependent coefficients ⋮ Time-periodic solutions to a nonlinear wave equation with periodic or anti-periodic boundary conditions ⋮ Periodic solutions of the quasilinear beam vibration equation with homogeneous boundary conditions ⋮ Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry ⋮ Unnamed Item ⋮ On the existence of countably many periodic solutions of a boundary value problem for the beam vibration equation with homogeneous boundary conditions ⋮ Oscillation equation of a beam with fixed and pivotally supporter ends ⋮ Existence of periodic solution for a class of beam equation via variational methods

Cites Work

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• Infinitely many periodic solutions for the equation: \(u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)\)
• Large amplitude time periodic solutions of a semilinear wave equation
• On Solutions of a Nonlinear Wave Question when the Ratio of the Period to the Length of the Interval is Irrational
• Nontrivial periodic solutions of a nonlinear beam equation

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