×

Positive periodic solutions to nonlinear second-order ordinary differential equations. (Chinese. English summary) Zbl 1018.34046

Summary: The author investigates the existence of periodic solutions to nonlinear second-order ordinary differential equations \[ u''(t)+ a(t) u(t)= f(t,u(t)). \] By using Krasnoselskij’s fixed-point theorem of cone map, some existence and multiplicity results on positive periodic solutions are obtained.

MSC:

34C25 Periodic solutions to ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
PDFBibTeX XMLCite