A new method for the existence of solutions of nonlinear differential equations

DOI10.1016/0022-0396(91)90119-TzbMath0725.34003MaRDI QIDQ2277618

Michal Fečkan

Publication date: 1991

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

periodic solutionHopf bifurcationdifferential operatorexistence of local solutionsdegree mappingslocal invariant manifolds for singularly perturbed ordinary differential equationsNash-Moser implicit theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23)

Related Items (3)

Singular perturbed problems in ordinary differential equations ⋮ Singularly perturbed ordinary differential equations ⋮ Singularly perturbed variational problems

Cites Work

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• A rapid convergence method for a singular perturbation problem
• The boundary problems of physical geodesy
• The inverse function theorem of Nash and Moser
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Periodic solutions of nonlinear hyperbolic partial differential equations. II

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