We present sufficient conditions for the existence of positive solutions for some second order boundary value problems at resonance. The boundary conditions that we study are quite general, involve a Stieltjes integral and include, as particular cases, multi-point and integral boundary conditions. Our results are based on a Leggett- Williams norm-type theorem due to O’Regan and Zima. We employ a general abstract approach which allows us to improve and complement recent results in the literature.
Second order nonlocal boundary value problems at resonance
INFANTE, GENNARO;
2011-01-01
Abstract
We present sufficient conditions for the existence of positive solutions for some second order boundary value problems at resonance. The boundary conditions that we study are quite general, involve a Stieltjes integral and include, as particular cases, multi-point and integral boundary conditions. Our results are based on a Leggett- Williams norm-type theorem due to O’Regan and Zima. We employ a general abstract approach which allows us to improve and complement recent results in the literature.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
