Boundary value problem for nonlinear telegraph equations with superlinear growth

DOI10.1016/0362-546X(88)90084-3zbMath0701.35103OpenAlexW2094981380MaRDI QIDQ3478856

Wan Se Kim

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90084-3

zbMATH Keywords

periodic Dirichlet problemsuperlinear growthnonlinear telegraph equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (7)

Positive doubly periodic solutions of telegraph equations with delays ⋮ Double-periodic boundary value problem for nonlinear dissipative hyperbolic equations ⋮ Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations ⋮ Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ A new solution procedure for the nonlinear telegraph equation ⋮ Ambrosetti-Prodi type result in semi-linear damped beam equations ⋮ Periodic-Dirichlet boundary value problem for semi-linear dissipative hyperbolic equations

Cites Work

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• Strongly nonlinear perturbations of nonnegative boundary value problems with kernel
• Periodic Solutions for a Class of Ordinary Differential Equations
• Generalized periodic solutions of nonlinear telegraph equations
• Equivalent Norms for Sobolev Spaces

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