Solvability of Sturm-Liouville boundary value problems with impulses

[摘要] In this paper, we consider a kind of Sturm-Liouville boundary value problems with impulsive effects. By using the mountain pass theorem and Ekeland’s variational principle, the existence of two positive solutions and two negative solutions is established. Moreover, we do not assume that the nonlinearity satisfies the well-known AR-condition. MSC: 34B15, 34B37, 58E30.

[学科分类] 数学（综合）

[关键词] p-Laplacian;boundary value problem;variational;impulsive