Impact of quadratic non-linearity on the dynamics of periodic solutions of a wave equation

DOI10.1070/SM2002V193N01ABEH000622zbMath1055.35013OpenAlexW2059511759WikidataQ59448669 ScholiaQ59448669MaRDI QIDQ4807101

A. Yu. Kolesov, N. Kh. Rozov

Publication date: 14 July 2003

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2002v193n01abeh000622

zbMATH Keywords

time-periodic solutionsone space dimensionnonlinear telegraph equationshomogeneus Dirichlet or Neumann conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Ultimate generalization to monotonicity for uniform convergence of trigonometric series ⋮ Bimodal cycles of a nonlinear telegraph equation in the case of 1:2 resonance ⋮ Invariant tori for a class of nonlinear evolution equations

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