Periodic solutions of wave equations with jumping nonlinearities

DOI10.1016/0022-0396(80)90072-8zbMath0429.35049OpenAlexW2010034650MaRDI QIDQ1137725

Michel Willem

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90072-8

zbMATH Keywords

spectrumnonlinear wave equationjumping nonlinearitiesmonotone operatorsexistence of periodic solutionsLeray-Schauder theoryd'Alembertian

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items

On the Fučik spectrum of the wave operator and an asymptotically linear problem ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance ⋮ Resonance in nonlinear wave equations with \(x\)-dependent coefficients ⋮ A Wave Equation with a Possibly Jumping Nonlinearity ⋮ Existence results for forced nonlinear periodic BVPs at resonance

Cites Work

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