Periodic solutions to nonlinear wave equations with spatially dependent coefficients

DOI10.1007/s00033-015-0497-yzbMath1330.35018OpenAlexW1967939579MaRDI QIDQ894880

N. E. Zubov

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0497-y

zbMATH Keywords

one space dimensionresonant frequenciesunique existenceperiodicity in space and timeglobal inverse function theorem

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Weak solutions to PDEs (35D30) Implicit function theorems; global Newton methods on manifolds (58C15) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (7)

Infinitely many periodic solutions for the quasi-linear Euler-Bernoulli beam equation with fixed ends ⋮ Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions ⋮ Existence of infinitely many small periodic solutions for a semilinear variable coefficients wave equation with resonant potential ⋮ Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients ⋮ Periodic solutions with irrational frequency for a class of semilinear wave equations with variable coefficients ⋮ Periodic solutions for one dimensional wave equation with bounded nonlinearity ⋮ Multiple periodic solutions for an asymptotically linear wave equation with x-dependent coefficients

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