Asymptotic nonuniform nonresonance conditions in the periodic-Dirichlet problem for semi-linear wave equations

DOI10.1007/BF01781063zbMath0542.35049OpenAlexW1985974442MaRDI QIDQ795228

James Robert jun. Ward, Jean Mawhin

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01781063

zbMATH Keywords

existenceweak solutionsperturbationscontinuationnonresonance conditionssemi-linear wave equationperiodic-Dirichlet problem

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Perturbations in context of PDEs (35B20) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Double-periodic boundary value problem for nonlinear dissipative hyperbolic equations ⋮ Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions ⋮ Periodic solutions of semilinear hyperbolic equations at resonance ⋮ On nonresonance problems of second-order difference systems ⋮ ON A PERTURBED CONSERVATIVE SYSTEM OF SEMILINEAR WAVE EQUATIONS WITH PERIODIC-DIRICHLET BOUNDARY CONDITIONS ⋮ Existence and uniqueness of periodic solution for a class of semilinear evolution equations ⋮ Nonlinear boundary value problems at resonance ⋮ Resonance in nonlinear wave equations with \(x\)-dependent coefficients ⋮ A Wave Equation with a Possibly Jumping Nonlinearity ⋮ Periodic solutions of some semilinear wave equations and systems: a survey.

Cites Work

• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• Nonresonance and existence for nonlinear elliptic boundary value problems
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