二阶非线性常微分方程组周期边值问题的正解

  • 刘健 ,
  • 封汉颍
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  • 军械工程学院基础部,河北石家庄,050003

网络出版日期: 2014-09-25

基金资助

国家自然科学基金资助项目,河北省自然科学基金资助项目

Positive solutions of periodic BVP for systems of nonlinear second-order ordinary differential equations

  • LIU Jian ,
  • FENG Hanying
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Online published: 2014-09-25

摘要

研究一类二阶非线性常微分方程组周期边值问题,在满足假设条件下,利用锥拉伸压缩不动点定理,得到了当f和g满足超线性或次线性时边值问题一个正解存在的充分条件.

本文引用格式

刘健 , 封汉颍 . 二阶非线性常微分方程组周期边值问题的正解[J]. 河北大学学报(自然科学版), 2014 , 34(5) : 455 -459 . DOI: 10.3969/j.issn.1000-1565.2014.05.002

参考文献

[1] 葛渭高. 非线性常微分方程边值问题 [M]. 北京:科学出版社 2007.
[2] 马如云. 非线性常微分方程非局部问题 [M]. 北京:科学出版社 2004.
[3] Zhang Zhitao. Existence of non-trivial solution for superlinear system of integral equations and its applications [J]. Acta Mathematicae Applicatae Sinica 1999, 2(2).
[4] Ma RY.. Multiple nonnegative solutions of second-order systems of boundary value problems [J]. Nonlinear Analysis: An International Multidisciplinary Journal 2000, 6(6).
[5] Bingmei Liu, Lishan Liu, Yonghong Wu. Positive solutions for singular systems of three-point boundary value problems [J]. Computers & Mathematics with Applications: An International Journal 2007, 9(9).
[6] Hu L, Wang LL. Multiple positive solutions of boundary value problems for systems of nonlinear second-order differential equations [J]. Journal of Mathematical Analysis and Applications 2007, 2(2).
[7] Yang, J., Wei, Z.. On existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular differential system [J]. Applied mathematics and computation 2011, 13(13).
[8] F. Merdivenci Atici, G. Sh Guseinov. On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions [J]. Journal of Computational and Applied Mathematics 2001, 2(2).
[9] GUO Dajun, LAKSHMIKANTHAM V. Nonlinear problems in abstract cones [M]. New York:Academic Press, Inc 1988.
[10] KRASNOSELSKII M. Positive solutions of operator equations [M]. Groningen:Noordhoff 1964.
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