期刊文献+

一类非线性两点边值问题的正解 被引量:3

Positive Solutions for a Class of Two-point Boundary Value Problems with Nonlinearity
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摘要 该文研究了一类非线性两点边值问题正解的确切个数及全局结构,证明了其解集本身构成一条连通分支.广泛地回答了文献[1]中提出的问题.  Exact number of solutions and behaviour of continuum of the solution set are obtained for a class of nonlinear boundary value problems. The results in the paper generally answer an open problem in paper [1].
作者 路慧芹
出处 《数学物理学报(A辑)》 CSCD 北大核心 2007年第5期845-854,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(10471075) 国家自然科学基金数学天元基金(A0324616)资助
关键词 正解的全局结果 连通分支 边值问题 Global results of positive solutions Continuum Boundary value problems.
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参考文献6

  • 1Ambrosetti A, Brezis H, Cerami G. Combined effects of concave and convex nonlinearities in some elliptic problems. J Funct Anal, 1994, 122: 519-543 被引量:1
  • 2Liu Zhaoli. Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities. Nonlinear Analysis, 2001, 46: 181-197 被引量:1
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同被引文献36

  • 1罗亚中,袁端才,唐国金.求解非线性方程组的混合遗传算法[J].计算力学学报,2005,22(1):109-114. 被引量:63
  • 2李昭祥,杨忠华,朱海龙,沈建.Henon方程多解计算的分歧方法[J].上海师范大学学报(自然科学版),2007,36(1):1-6. 被引量:4
  • 3Ambrnsetti A,Brezis H,Cerami G.Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems[J].J Funct Anal,1994,122:519-543. 被引量:1
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