The fourth-order differential equation with the four-point boundary value problem is studied in this work, where 0 β€ ΞΎ 1 < ΞΎ 2 β€ 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
A study of higher-order nonlinear ordinary differential equations with four-point nonlocal integral boundary conditions
β 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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π SIMILAR VOLUMES
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
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.