The study of parametric excitation in a stretched string

DOI10.1016/S0362-546X(00)00108-5zbMath1079.74030OpenAlexW1990996054MaRDI QIDQ5954777

P. V. Kuznetsov, Adriaan H. P. Van Der Burgh, Sergey A. Vavilov

Publication date: 2001

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00108-5

zbMATH Keywords

periodic solutionFredholm operatorparametric excitationnonlinearly coupled wave equations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Cites Work

• Modal interactions in the non-linear response of elastic cables under parametric/external excitation
• Entrainment of frequency in evolution equations
• Forced oscillations of elastic strings with nonlinear damping
• A method of studying the existence of nontrivial solutions to some classes of operator equations with an application to resonance problems in mechanics
• Resonance and near-resonance for a nonlinear wave equation
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