Second order systems of ODE's realated to a ginzburg-labday model

Abstract

We study the existence of nontrivial positive solutions to a boundary value problem for a second order system of two nonlinear ordinary differntial equations. This system contains as a particular case the one-dimensional Ginzburg-Landau equations for superconducting films. We also give a multiplicity result.

Keywords:

• Ginzburg-Landau equations shooting method multiple solutions.

^*Supported by JNICT, PRAXIS XXI, FEDER and project PRAXIS/2/2.1/MAT/125/94 and E.U. (contract CHRXCT940555).

^*Supported by JNICT, PRAXIS XXI, FEDER and project PRAXIS/2/2.1/MAT/125/94 and E.U. (contract CHRXCT940555).

Notes

^*Supported by JNICT, PRAXIS XXI, FEDER and project PRAXIS/2/2.1/MAT/125/94 and E.U. (contract CHRXCT940555).