An implicit function theorem for a set of mappings and its application to nonlinear hyperbolic boundary value problems at resonance

DOI10.1016/0362-546X(88)90096-XzbMath0713.35055OpenAlexW2051324291MaRDI QIDQ3198228

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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)90096-x

zbMATH Keywords

semilinear wave equationresonanceimplicit function theorem

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Implicit function theorems; global Newton methods on manifolds (58C15)

Cites Work

• Théorie des distributions à valeurs vectorielles
• Existence theorems for linear hyperbolic boundary value problems at resonance
• Periodic solutions of linear and nonlinear wave equations
• Periodic solutions of a class of hyperbolic equations containing a small parameter
• Existence in the large of periodic solutions of hyperbolic partial differential equations
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Existence theorems for nonlinear hyperbolic boundary value problems at resonance
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Periodic solutions of a weakly nonlinear wave equation in one dimension
• Equivalent Norms for Sobolev Spaces
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