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Existence results for a fourth-order ordinary differential equation with a four-point boundary condition

✍ Scribed by Yongli Zhong; Shihua Chen; Changping Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
206 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

The fourth-order differential equation

with the four-point boundary value problem

is studied in this work, where 0 ≀ ΞΎ 1 < ΞΎ 2 ≀ 1. Some results on the existence of at least one positive solution to the above four-point boundary value problem are obtained by using the Krasnoselskii fixed point theorem.

πŸ“œ SIMILAR VOLUMES

A boundary value technique for boundary
A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations
✍ V. Shanthi; N. Ramanujam πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 851 KB

Singularly perturbed two-point boundary value problems (BVPs) for fourth-order ordinary differential equations (ODEs) with a small positive parameter multiplying the highest derivative are considered. A numerical method is suggested in this paper to solve such problems. In this method, the given BVP