×

zbMATH — the first resource for mathematics

A multiplicity result for periodic solutions of higher order ordinary differential equations. (English) Zbl 0715.34086
Summary: Ambrosetti-Prodi type results are proved for the periodic solutions of some higher-order nonlinear differential equations. The proofs are based upon a priori estimates, degree theory and Lyapunov-Schmidt method.

MSC:
34C25 Periodic solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
34B15 Nonlinear boundary value problems for ordinary differential equations
PDF BibTeX XML Cite