Multiplicity result for semilinear dissipative hyperbolic equations

DOI10.1006/JMAA.1998.6207zbMath0930.35021OpenAlexW1980191088MaRDI QIDQ1282995

Wan Se Kim

Publication date: 13 April 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6207

zbMATH Keywords

zero Dirichlet boundary conditionsAmbrosetti-Prodi type result

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) Degree theory for nonlinear operators (47H11)

Related Items (4)

Periodic solutions of a nonlinear suspension bridge equation with damping and nonconstant load ⋮ Ambrosetti - Prodi type multiplicity result for a wave equation with sublinear nonlinearity ⋮ Multiple doubly periodic solutions of semi-linear damped beam equations ⋮ Ambrosetti-Prodi type result in semi-linear damped beam equations

Cites Work

• Unnamed Item
• A multiplicity result for periodic solutions of higher order ordinary differential equations
• Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems
• Generalized Ambrosetti-Prodi conditions for nonlinear two-point boundary value problems
• Multiplicity and stability result for semilinear parabolic equations
• Existence of periodic solutions for nonlinear Liénard systems
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Multiple existence of periodic solutions for Liénard system
• Multiple doubly periodic solutions of semilinear dissipative hyperbolic equations
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity

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