Solutions of second order homogeneous Dirichlet systems

Robert Dalmasso (1)

1 LMC - IMAG - Laboratoire de Modélisation et Calcul

In this paper we establish some existence theorems for second order nonlinear systems of the form $y''=f(t,y,y')$, $y(0)=y(1)=°0$. We also give two uniqueness results.

Domaines: Equations aux dérivées partielles [math.AP]

Robert Dalmasso. Solutions of second order homogeneous Dirichlet systems. Hokkaido Mathematical Journal, 1997, 26 (3), pp.611-630. ⟨10.14492/hokmj/1351258268⟩. ⟨hal-00387633⟩