On the existence of multiple solutions for a nonlinear wave equation

DOI10.1016/0022-0396(88)90031-9zbMath0649.35061OpenAlexW1989011560MaRDI QIDQ1105777

Norimichi Hirano

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90031-9

zbMATH Keywords

existenceweak solutionsmultiple time-periodic solutionspseudo- monotone mapping

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues ⋮ On multiple solutions for a class of semilinear wave equations ⋮ Unnamed Item ⋮ Periodic solutions of vibrating strings. Degree theory approach

Cites Work

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• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• Periodic solutions of nonlinear vibrating strings and duality principles
• Existence Theorems on Unbounded Sets in Banach Spaces
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces

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