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Positive Solutions for Nonlinear Second-Order Boundary Value Problem of Delay Differential Equation 被引量：2

Positive Solutions for Nonlinear Second-Order Boundary Value Problem of Delay Differential Equation
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摘要 In this paper, we study the nonlinear second-order boundary value problem of delay differential equation.. Without the assumption of the nonnegativity of f, we still obtain the existence of the positive solution. In this paper, we study the nonlinear second-order boundary value problem of delay differential equation.. Without the assumption of the nonnegativity of f, we still obtain the existence of the positive solution.
作者 LI Zhi-long
机构地区 School of Informational Management
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第3期720-726,共7页 数学研究与评论（英文版）
基金 the Youth Research Foundation of Jiangxi University of Finance and Economics(No.04232015) the Technological Project Foundation of Jiangxi Province (Nos.GJJ08358GJJ08359) the Educational Reform Project Foundation of Jiangxi Province (No.JXJG07436)
关键词 second-order boundary value problem delay differential equation positive solutions fixed point index. second-order boundary value problem delay differential equation positive solutions fixed point index.
分类号 O177.91 [理学—基础数学]
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参考文献6

  • 1JIANG Daqing, ZHANG Lili. Positive solutions for boundary value problems of second-order delay differential equations [J]. Acta Math. Sinica (Chin. Ser.), 2003, 46(4): 739-746.
  • 2WENG Peixuan, JIANG Daqing. Multiple positive solutions for boundary value problem ot secona oraer singular functional differential equations [J]. Acta Math. Appl. Sinica, 2000, 23(1): 99-107.
  • 3ANURADHA V, HAI D D, SHIVAJI R. Existence results for superlinear semipositone BVP's[J]. Proc. Amer. Math. Soc., 1996, 124(3): 757-763.
  • 4AGARWAL R P, HONG H L, YEH C C. The existence of positive solutions for the Sturm-Liouville boundary value problems [J]. Comput. Math. Appl., 1998, 35(9): 89-96.
  • 5GUO Dajun, SUN Jingxian. Nonlinear Integral Equations [M]. Jinan: Shandong Science and Technology Press, 1987.
  • 6GUO Dajun, LAKSHMIKANTHAM V. Nonlinear Problem in Abstract Cones [M]. Academic Press, New York, 1988.

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Journal of Mathematical Research and Exposition
2008年 第3期

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