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Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations

Boundary Value Problems20052005:702485

Received: 1 November 2004

Published: 12 June 2005


We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties. The proof is developed in the framework of the shooting methods and it is based on some estimates on the rotation numbers associated to each component of the solutions to the equivalent system.

Authors’ Affiliations

Dipartimento di Matematica, Università di Torino, Torino, Italy
Department of Mathematics, University of Connecticut, Storrs, USA


© Dalbono and McKenna 2005