×

Periodicity results for strongly nonlinear systems of third-order boundary value problems. (English) Zbl 1009.34013

Summary: This work extends recent results given in the literature for systems of second-order equations to third-order nonlinear systems of differential equations. It also presents vector versions and improvements to existing results for the scalar third-order equations, using the Leray-Schauder degree techniques in the investigation.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
PDFBibTeX XMLCite