On the solvability of a fourth-order multi-point boundary value problem

• Autorzy: Yuqiang Feng , Xincheng Ding
• Języki publikacji: EN

Abstrakty

EN

We are concerned with the solvability of the fourth-order four-point boundary value problem
⎧ $u^{(4)}(t) = f(t,u(t),u''(t))$, t ∈ [0,1],
⎨ u(0) = u(1) = 0,
⎩ au''(ζ₁) - bu'''(ζ₁) = 0, cu''(ζ₂) + du'''(ζ₂) = 0,
where 0 ≤ ζ₁ < ζ₂ ≤ 1, f ∈ C([0,1] × [0,∞) × (-∞,0],[0,∞)). By using Guo-Krasnosel'skiĭ's fixed point theorem on cones, some criteria are established to ensure the existence, nonexistence and multiplicity of positive solutions for this problem.

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34B10: Nonlocal and multipoint boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 1
• Strony: 13-22

Daty

wydano

2012

Twórcy

autor

Yuqiang Feng

• School of Science, Wuhan University of Science and Technology, Wuhan 430065, P.R. China

autor

Xincheng Ding

• School of Science, Wuhan University of Science and Technology, Wuhan 430065, P.R. China

Identyfikatory

DOI

10.4064/ap104-1-2