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A study of higher-order nonlinear ordinary differential equations with four-point nonlocal integral boundary conditions

✍ Scribed by Bashir Ahmad; Sotiris K. Ntouyas


Book ID
113099366
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
441 KB
Volume
39
Category
Article
ISSN
1598-5865

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πŸ“œ SIMILAR VOLUMES


Existence results for a fourth-order ord
✍ Yongli Zhong; Shihua Chen; Changping Wang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 206 KB

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 the

Solvability of nonlocal boundary value p
✍ Huihui Pang; Weigao Ge; Min Tian πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 301 KB

Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a p-Laplacian are considered in this paper. By using a new continuation theorem, some existence results are obtained for such boundary value problems. An explicit example is also given in this paper

First integrals and reduction of a class
✍ N. Euler; P.G.L. Leach πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 200 KB

We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form x (n) = h(x, x (n-1) ) αΊ‹ are considered. The relation of the proposed method to local and nonlocal symmetries are discussed.