Solvability of Sturm-Liouville boundary value problems with impulses
Department of Foundation Courses, Beijing Union University, Beijing, 100101, China
Boundary Value Problems 2013, 2013:192 doi:10.1186/1687-2770-2013-192Published: 28 August 2013
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.