Artículos de revistas
A note on a system with radiation boundary conditions with non-symmetric linearisation
Fecha
2018-08Registro en:
Amster, Pablo Gustavo; Kuna, Mariel Paula; A note on a system with radiation boundary conditions with non-symmetric linearisation; Springer Wien; Monatshefete Fur Mathematik; 186; 4; 8-2018; 565-577
0026-9255
CONICET Digital
CONICET
Autor
Amster, Pablo Gustavo
Kuna, Mariel Paula
Resumen
We prove the existence of multiple solutions for a second order ODE system under radiation boundary conditions. The proof is based on the degree computation of I- K, where K is an appropriate fixed point operator. Under a suitable asymptotic Hartman-like assumption for the nonlinearity, we shall prove that the degree is 1 over large balls. Moreover, studying the interaction between the linearised system and the spectrum of the associated linear operator, we obtain a condition under which the degree is - 1 over small balls. We thus generalize a result obtained in a previous work for the case in which the linearisation is symmetric.