A generalized quasilinearization method for telegraph system

DOI10.1016/j.nonrwa.2008.11.012zbMath1180.35146OpenAlexW1968241917MaRDI QIDQ1049454

Fanglei Wang, Yukun An

Publication date: 12 January 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.2008.11.012

zbMATH Keywords

upper and lower solutionsdoubly periodic solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Maximum principles in context of PDEs (35B50) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Doubly periodic solutions of a coupled nonlinear telegraph system with weak singularities ⋮ Rapid convergence for telegraph systems with periodic boundary conditions ⋮ Eigenvalue of coupled systems for Hammerstein integral equation with two parameters

Cites Work

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• Maximum principles for a coupled system of second and fourth order elliptic equations and an application
• Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions
• Improved generalized quasilinearization (GQL) method
• On maximum principles for cooperative elliptic systems via fixed point index
• Methods of generalized quasilinearization for periodic boundary value problems
• Further improvement of generalized quasilinearization method

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