Positive solutions for a class of semipositone Neumann problems

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• 作者：Tianlan Chen ; Ruyun Ma
• 关键词：34B18 ; semipositone ; Neumann problem ; positive solution ; quadrature method
• 刊名：Boundary Value Problems
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,643 KB
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• 作者单位：Tianlan Chen (1)
  Ruyun Ma (1)
  
  1. Department of Mathematics, Northwest Normal University, Lanzhou, 730070, P.R. China
  
• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

In this paper, by using the quadrature method, we show how changes in the sign of f lead to multiple positive solutions for the semipositone Neumann problems $$-u''(x)=\lambda f\bigl(u(x)\bigr),\qquad u'(0)=0=u'(1), $$