Positive solutions to third-order impulsive Sturm-Liouville boundary value problems with deviated arguments and one-dimensional \(p\)-Laplacian. (English) Zbl 1253.34057
The author uses a fixed point theorem due to R. I. Avery and A. C. Peterson [Comput. Math. Appl. 42, No. 3–5, 313–322 (2001; Zbl 1005.47051)] to establish the existence of at least three positive solutions of some boundary value problem to third order impulsive functional differential equations with \(p\)-Laplasian. The cases of delayed and advanced arguments are considered separately.
Reviewer: Eugene Bravyi (Perm)
MSC:
34K10 | Boundary value problems for functional-differential equations |
34K45 | Functional-differential equations with impulses |
47N20 | Applications of operator theory to differential and integral equations |