On three theorems of lees for numerical treatment of semilinear two-point boundary value problems

Tetsuro Yamamoto, Shin'ichi Oishi

研究成果: Article査読

抄録

This paper is concerned with semilinear tow-point boundary value problems of the form -(p(x)u′)′ + f(x, u) = 0, a ≤ x ≤ b, α0u(a) - α1u′(a) = α, β1u′(b) + β,1u′(b) = β, αi ≥ 0, βi≥ 0, i = 0, 1, α01 > 0, β01 > 0, α00 > 0. Under the assumption inf fu > -λ1, where λ1 is the smallest eigenvalue of u = -(pu′)′ with the boundary conditions, unique existence theorems of solution for the continuous problem and a discretized system with not necessarily uniform nodes are given as well as error estimates. The results generalize three theorems of Lees for u″ = f(x, u), 0 ≤ x ≤ 1, u(0) = α, u(1) = β.

本文言語English
ページ(範囲)293-313
ページ数21
ジャーナルJapan Journal of Industrial and Applied Mathematics
23
3
DOI
出版ステータスPublished - 2006 10

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

フィンガープリント 「On three theorems of lees for numerical treatment of semilinear two-point boundary value problems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル