Resonance in nonlinear wave equations with \(x\)-dependent coefficients

DOI10.1016/j.na.2009.01.038zbMath1173.35604OpenAlexW2057728410MaRDI QIDQ1030095

Peng Wang, Yukun An

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.038

zbMATH Keywords

periodic solutiontopological degreewave equationsresonanceforcing termLeray-Schauder degreepriori estimates\(x\)-dependent coefficients

Mathematics Subject Classification ID

Related Items (4)

Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance ⋮ Existence of multiple periodic solutions to a semilinear wave equation with x-dependent coefficients

Cites Work

• Unnamed Item
• Asymptotic nonuniform nonresonance conditions in the periodic-Dirichlet problem for semi-linear wave equations
• On the solvability of some elliptic partial differential equations with the linear part at resonance
• Periodic solutions of a coupled system of telegraph-wave equations
• Periodic solutions of wave equations with jumping nonlinearities
• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• Periodic solutions of vibrating strings. Degree theory approach
• Nonlinear boundary value problems at resonance
• Solutions of nonlinear hyperbolic equations at resonance
• L∞-optimal control of the periodic 1-D wave equation with x-dependent coefficients
• Periodic solutions of parabolic and telegraph equations with asymmetric nonlinearities
• Existence and regularity of weak periodic solutions of the 2-D wave equation
• Periodic solutions to nonlinear one dimensional wave equation with 𝑋-dependent coefficients
• On nonresonance for systems of semilinear wave equations
• Bounded resonance problems for semilinear elliptic equations
• Nonlinear elliptic partial differential equations at resonance: Higher eigenvalues

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