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

Risultato della ricerca: Articlepeer review

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
Lingua originaleEnglish
pagine (da-a)129-151
Numero di pagine23
RivistaBoundary Value Problems
Volume2005
Stato di pubblicazionePublished - 2005

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