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(p,n-p)共轭奇异边值问题双重非负解的存在性
Twin Nonnegative Solutions For (p, n-p) Conjugate Boundary Value Problems
【摘要】 本文研究如下形式的(p,n-p)共轭奇异边值问题其中n≥2,1≤p≤n-1,(?)可允许在t=0和t=1时有奇性,f可在y=0时有奇性.本文作者在R.P.Agarwal等人工作的基础上,在适当假设下证明了此问题双重非负解的存在性.
【Abstract】 The following (p, n-p) conjugate boundary value problems are studied in this paper. where n≥2, 1≤p≤ n-1, may be singular at t = 0 and/or t = 1 , and / may be singular at y = 0. Based on the results obtained by R. P. Agarwal et. al., the existence of twin nonnegative solutions to the problem is proved under suitable conditions. A simple example is also given.
【关键词】 共轭奇异边值问题;
非负解;
双重解;
【Key words】 conjugate boundary value problems; singularity; nonnegative solutions; twin solutions.;
【Key words】 conjugate boundary value problems; singularity; nonnegative solutions; twin solutions.;
【基金】 国家自然科学基金(10371050);吉林大学985项目
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,2006年02期
- 【分类号】O175.23
- 【被引频次】1
- 【下载频次】25