Periodic-Dirichlet boundary value problem for semi-linear dissipative hyperbolic equations

DOI10.1016/0022-247X(90)90007-3zbMath0714.35051MaRDI QIDQ750753

Wan Se Kim, Norimichi Hirano

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemdissipative hyperbolic equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

Positive doubly periodic solutions of telegraph equations with delays ⋮ Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations

Cites Work

• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• Periodic solutions of some forced Liénard differential equations at resonance
• Boundary value problem for nonlinear telegraph equations with superlinear growth
• Large amplitude time periodic solutions of a semilinear wave equation
• Nonlinear boundary value problems at resonance
• Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition
• Generalized periodic solutions of nonlinear telegraph equations
• Perturbations of second order linear elliptic problems by unbounded nonlinearities
• A Resonance Problem in Which the Nonlinearity May Grow Linearly
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