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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.

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

Citations:

Zbl 1005.47051