Eigenvalue of fourth-order -point boundary value problem with derivatives

✍ Scribed by Xinguang Zhang; Lishan Liu

• Book ID: 104008106
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 276 KB
• Volume: 56
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2007.08.048

✦ Synopsis

This paper deals with the existence of positive solutions for the fourth-order nonlinear ordinary differential equation

subject to the boundary conditions:

where α, β, γ , δ ≥ 0 are constants such that ρ = αδ + αγ + βδ > 0, and ξ i ∈ (0, 1),

By means of a fixed-point theorem due to Krasnaselskii, some new existence results of positive solutions for the above multi-point boundary value problem are obtained, which improve the main results of Graef et al. [