Periodic solutions of the quasilinear beam vibration equation with homogeneous boundary conditions

DOI10.1134/S0012266112060067zbMath1257.35023WikidataQ115252144 ScholiaQ115252144MaRDI QIDQ1760475

Igor' Alekseevich Rudakov

Publication date: 14 November 2012

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

polynomial nonlinearityhomogeneous boundary conditionscommensurable time periodinfinitely many time-periodic solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Resonance in context of PDEs (35B34) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (6)

On periodic solutions of a beam vibration equation ⋮ 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 ⋮ Начально-граничная задача для уравнения вынужденных колебаний консольной балки ⋮ 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

Cites Work

• Time periodic solutions to a semilinear beam equation
• Nontrivial periodic solutions of a nonlinear beam equation
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications
• Unnamed Item

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