Doubly periodic solutions of a coupled nonlinear telegraph system with weak singularities

DOI10.1016/J.NONRWA.2010.06.012zbMath1202.35018OpenAlexW2012966564MaRDI QIDQ611236

Fanglei Wang

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.012

zbMATH Keywords

Schauder's fixed point theoremnew existence criteria

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

On positive periodic solutions to nonlinear fifth-order differential equations with six parameters ⋮ On Multiscale Variational and Streamline Diffusion Schemes for a Coupled Nonlinear Telegraph System ⋮ Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter ⋮ Existence results for a nonlinear semipositone telegraph system with repulsive weak singular forces

Cites Work

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• Positive doubly periodic solutions of nonlinear telegraph equations.
• A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings
• Multiple doubly periodic solutions of semilinear dissipative hyperbolic equations
• Nonnegative doubly periodic solutions for nonlinear telegraph system
• Double-periodic boundary value problem for nonlinear dissipative hyperbolic equations
• Periodic solutions of second order non-autonomous singular dynamical systems

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