Banach空间中广义的Sturm-Liouville m点边界值问题的正解

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 265-269.

Banach空间中广义的Sturm-Liouville m点边界值问题的正解

1. Department of Sciences, Bozhou Teacher's College2. School of Sciences, Shandong Jianzhu University

收稿日期:2008-03-10 出版日期:2011-06-30 发布日期:2023-05-05
作者简介:YANG Jing-bao(1968-), male, native of Mengcheng, Anhui, an associate professor of Bozhou Teacher’s College, M.S.D, engages in boundary value problems of diﬀerential equation.
基金资助:
Supported by the Research Project of Bozhou Teacher’s College(BSKY0805); Supported
by the Natural Science Research Project of Anhui Province(KJ2009B093)

Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces

1. Department of Sciences, Bozhou Teacher's College2. School of Sciences, Shandong Jianzhu University

Received:2008-03-10 Online:2011-06-30 Published:2023-05-05
About author:YANG Jing-bao(1968-), male, native of Mengcheng, Anhui, an associate professor of Bozhou Teacher’s College, M.S.D, engages in boundary value problems of diﬀerential equation.
Supported by:
Supported by the Research Project of Bozhou Teacher’s College(BSKY0805); Supported
by the Natural Science Research Project of Anhui Province(KJ2009B093)

摘要/Abstract

摘要： By applying the fixed-point theorem of strict-set-contraction, this paper establishes the existence of one solution or one positive solution to the generalized Sturm-Liouville m-point boundary value problem in Banach spaces.

关键词: Banach spaces, fixed-point theorem of strict-set-contraction; Sturm-Liouville, m-pointt boundary value problem, positive solution

Abstract: By applying the fixed-point theorem of strict-set-contraction, this paper establishes the existence of one solution or one positive solution to the generalized Sturm-Liouville m-point boundary value problem in Banach spaces.

Key words: Banach spaces, fixed-point theorem of strict-set-contraction; Sturm-Liouville, m-pointt boundary value problem, positive solution

中图分类号:

O175.8

杨景保, 韦忠礼. Banach空间中广义的Sturm-Liouville m点边界值问题的正解[J]. 数学季刊, 2011, 26(2): 265-269.

YANG Jing-bao, WEI Zhong-li. Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 265-269.

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