Article contents
Solvability of singular second order m-point boundary value problems of Dirichlet type
Published online by Cambridge University Press: 17 April 2009
Extract
Let f: [0, 1] × ℝ2 → ℝ be a function satisfying the Carathéodory conditions and t (1 − t) e (t) ∈ L1(0, 1). Let ai ∈ ℝ and ξi ∈ (0, 1) for i = 1, …, m − 2 where 0 < ξ1 < ξ2 < … < ξm−2 < 1. In this paper we study the existence of C[0, 1] solutions for the m-point boundary value problem The proof of our main result is based on the Leray-Schauder continuation theorem.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2005
References
- 1
- Cited by