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The boundary value problem of higher order differential equations with delay

He Z., Shen J.

Demonstratio Mathematica

2013

Vol. 46, nr 1

87--100

In the paper, Guo–Krasnoselskii’s fixed point theorem is adapted to study the existence of positive solutions to a class of boundary value problems for higher order differential equations with delay. The sufficient conditions, which assure that the equation has one positive solution or two positive solutions, are derived. These conclusions generalize some existing ones.

Existence results of l-point BVP for higher order differential wquations with one-dimension p-Laplacian

Liu Y., Gui Z.

Journal of Applied Analysis

2008

Vol. 14, nr 2

273-299

Motivated by Gupta [9] and Garcia-Huidobro, Gupta, Manasevich [5], the solvability of multi-point boundary value problems consisting of higher-order differential equations and multi-point boundary conditions are studied in this paper, respectively. Results show us that known theorems are complemented and improved. Numerical examples are presented to demonstrate the main theorems.