非线性奇异系统边值问题解的平方收敛性

  • 王培光 ,
  • 刘向
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  • 1.河北大学电子信息工程学院,河北保定,071002; 2.河北大学数学与信息科学学院,河北保定,071002

网络出版日期: 2015-05-25

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

Quadratic convergence for nonlinear singular differential systems with boundary conditions

  • WANG Peiguang ,
  • LIU Xiang
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Online published: 2015-05-25

摘要

研究了一类奇异微分系统边值问题.对所构造的单调迭代序列,通过应用比较原理和拟线性方法,证明了逼近解序列一致且平方收敛于该问题的解.

本文引用格式

王培光 , 刘向 . 非线性奇异系统边值问题解的平方收敛性[J]. 河北大学学报(自然科学版), 2015 , 35(3) : 225 -229 . DOI: 10.3969/j.issn.1000-1565.2015.03.001

参考文献

[1] ROSENBROCK H H. Structural properties of linear dynamical systems [J]. Internat J Control 1974, 200.
[2] CAMPBELL S L. Singular systems of differential equations [M]. London:Pitman Advanced Publishing Program(Ⅰ) 1982.
[3] CAMPBELL S L. Singular systems of differential equations [M]. London:Pitman Advanced Publishing Program(Ⅱ) 1982.
[4] BELLMAN R, KALABA R. Quasilinearization and nonlinear boundary value problems [M]. New York:Elsevier 1965.
[5] LAKSHMIKANTHAM V, VATSALA A S. Generalized quasilinearization for nonlinear problems [M]. Dordrecht:Kluwer Academic Publishers 1998.
[6] AHMAD B, ALSAEDI A. An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition [J]. Electron J Qual Theory Differ Equ 2007, 1.
[7] Wang, P., Li, P.. Kth Order convergence for a semilinear elliptic boundary value problem in the divergence form [J]. Applied mathematics and computation 2011, 21(21).
[8] Wang, PG, Wu, HX, Wu, YH. Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales [J]. Computers & Mathematics with Applications 2008, 8(8).
[9] Generalized quasilinearization for fractional differential equations [J]. Computers & Mathematics with Applications: An International Journal 2010, 3(3).
[10] WANG Peiguang, HOU Ying. Generalized quasilinearization for the system of fractional differential equations [J]. J Funct Spaces Appl 2013.
[11] ABD-ELLATEEF KAMAR A R, ATTIA G M, VAJRAVELU K. Generlized quasilinearization for singular system of differential equations [J]. Applied Mathematics and Computation 2000, 114(1).
[12] El-Gebeily M, O'Regan D. Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions [J]. Nonlinear analysis. Real world applications 2007, 2(2).
[13] WANG Peiguang, KONG Tiantian. Quasilinearization for the boundary value problem of second-order singular differential system [J]. ABSTRACT AND APPLIED ANALYSIS 2013.
[14] 奚宏生. 连续时间广义边值系统的状态结构 [J]. 控制理论和应用 1993, 10(6).
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