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

Dalbono F, McKenna P J (2005). Multiplicity results for a class of asymmetric weakly coupled systems of second order ordinary differential equations. BOUNDARY VALUE PROBLEMS, 2005(2), 129-151 [doi:10.1155/BVP.2005.129].

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

DALBONO, Francesca;
2005-01-01

Abstract

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
https://boundaryvalueproblems.springeropen.com/articles/10.1155/BVP.2005.129
Dalbono F, McKenna P J (2005). Multiplicity results for a class of asymmetric weakly coupled systems of second order ordinary differential equations. BOUNDARY VALUE PROBLEMS, 2005(2), 129-151 [doi:10.1155/BVP.2005.129].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/64878
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