Regular solutions of wave equations containing nonlinearities of the type L Φ L

DOI10.1017/S0308210500015845zbMath0534.35071OpenAlexW1998707098MaRDI QIDQ3317494

Juergen Weyer

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015845

zbMATH Keywords

global solutionselfadjoint operatorregular solutionsnonlinear plateforced nonlinear wave equationhinged-hinged boundary conditionsundamped vibrations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

Cites Work

• Unnamed Item
• On non-linear wave equations
• Bifurcation diagrams and periodic solutions to nonlinear equations
• On a new class of nonlinear wave equations
• Über maximale Monotonie von Operatoren des Typs L*Phi verknüpft mit L
• Zu einem Satz von F. E. Browder über nichtlineare Wellengleichungen
• Free vibrations and dynamic buckling of the extensible beam
• Nonlinear elliptic equations and operators of type L∗Ф ∘ L

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