期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类非线性泛函差分方程周期解的一个存在定理 被引量：1

An Existence Theorem of Periodic Solution to Nonlinear Functional Difference Equation
在线阅读 下载PDF
导出
摘要 利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论,得到该问题周期解的一个存在定理. The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained.
作者 王大斌 关雯
机构地区 兰州理工大学理学院
出处 《甘肃科学学报》 2007年第2期38-39,共2页 Journal of Gansu Sciences
基金 兰州理工大学科研发展基金(0516)
关键词 泛函差分方程 周期解 拓扑度理论 functional difference equation periodic solution topological degree
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献8

二级参考文献29

  • 1王大斌,王国兴.一类n阶差分方程边值问题的多解性[J].兰州理工大学学报,2005,31(5):129-133. 被引量：7
  • 2郭大均 孙经先 刘兆理.非线性常微分方程的泛函方法[M].济南:山东科学技术出版社,1995..
  • 3II'in V A, MOISEEV E I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator[J]. Differential Equations, 1987, 23: 979-987.
  • 4GUO Da-jun, LAKSHMIKANTHAM V. Nonlinear problems in Abstract Cones [M]. Notes and Reports in Mathematics in Science and Engineering, 5. Academic Press, Inc., Boston, MA, 1988.
  • 5GUPTA C P. Solvability of a three-point nonlinear boundary value problems for a second order ordinary differential equation [J]. J. Math. Anal. Appl., 1992, 168: 540-551.
  • 6GUPTA C P. A sharp condition for the solvability of a three-point second order boundary value problem [J].J. Math. Anal. Appl., 1997, 205: 579-586.
  • 7C. P. Gupta and S.Trofimchuk. Existence of a solution to a three-point boundary value problem and the spectral radius of a related linear operator [J]. Nonlinear Anal., 1998, 34: 498-507.
  • 8MA Ru-yun. Existence theorems for a second order three-point boundary value problem [J]. J. Math. Anal.Appl., 1997, 212: 430-442.
  • 9MA Ru-yun. Positive solutions of a nonlinear three-point boundary value problem [J]. E. J. Differential Equations, 1999, 34: 1-8.
  • 10MA Ru-yun, WANG Hai-yan. Positive solutions of nonlinear three-point boundary-value problems [J]. J.Math. Anal. Appl., 2003, 279(1): 216-227.

共引文献9

同被引文献6

  • 1Thoai N V.Convergence and Application of a Decomposition Method Using Duality Bounds for Nonconvex Global Optimization[J].Journal of Optimization Theory and Applications,2002,113(1):165-193.
  • 2Argáez M,Tapia R,Velázquez L.Numerical Comparisons of Path-Following Strategies for a Primal-Dual Interior-Point Method for Nonlinear Programming[J].Journal of Optimization Theory and Applications,2002,114(2):255-272.
  • 3Ghosh M K,Shaiju A J.Existence of Value and Saddle Point in Infinite-Dimensional Differential Games[J].Journal of Optimization Theory and Applications,2004,121(2):301-325.
  • 4Gerdts M.Direct Shooting Method for the Numerical Solution of Higher-Index DAE Optimal Control Problems[J].Journal of Optimization Theory and Applications,2003,117(2):267-294.
  • 5数值方法[M].包雪松译,唐述钊校.北京:高等教育出版社,1990.327-365
  • 6韩致信,周和平,马历民,王玉鹏.混合约束最优化问题的复合形解法[J].甘肃工业大学学报,2001,27(4):33-36. 被引量：4

引证文献1

二级引证文献1

甘肃科学学报
2007年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部