集值微分方程初值问题的拟线性化方法

  • 王培光 ,
  • 高玮
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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,数学与计算机学院,河北,保定,071002

网络出版日期: 2011-01-25

基金资助

国家自然科学基金,河北省自然科学基金

Quasilinearization of an Initial Value Problem for Set Differential Equations

  • WANG Pei-guang ,
  • GAO Wei
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Online published: 2011-01-25

摘要

利用拟线性化方法研究了一阶集值微分方程初值问题,构造了2个单调序列,获得了解的一致收敛性和平方收敛性结果.

本文引用格式

王培光 , 高玮 . 集值微分方程初值问题的拟线性化方法[J]. 河北大学学报(自然科学版), 2011 , 31(1) : 1 -6 . DOI: 10.3969/j.issn.1000-1565.2011.01.001

参考文献

[1] 王培光, 卢艳霞, WANG Pei-guang, LU Yan-xia. 时间尺度上三点边值问题的拟线性方法 [J]. 河北大学学报(自然科学版) 2008.doi:10.3969/j.issn.1000-1565.2008.01.002
[2] TOLSTONOGOV A. Differential Inclusions in a Banach Space [M]. Dordrecht:kluwer Academic Publishers 2000.
[3] T. Ginana Bhaskar, V. Lakshmikantham. Set differential equations and flow invariance [J]. Applicable Analysis 2003, 4(4).
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[8] LAKSMIKANTHAM V, VATSALA A. Generalized quasilinearization for nonlinear problems [M]. Dordrecht:kluwer Academic Publishers 1998.
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