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.


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