Reduction Theorems for a Class of Semilinear Equations at Resonance

DOI10.2307/2043812zbMath0496.47052OpenAlexW4253225519MaRDI QIDQ3961377

Peter W. Bates

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043812

zbMATH Keywords

spectrumvariational problemscoincidence degreesaddle point reductionalternative methodfixed point theorem for nonexpansive mappingsperiodic solutions of nonlinear ordinary differential equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

A forced pendulum equation with many periodic solutions ⋮ Non–continuation of the periodic oscillations of a forced pendulum in the presence of friction

Cites Work

• Saddle points and multiple solutions of differential equations
• EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION
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