Quasilinearization of an Initial Value Problem for Set Differential Equations

  • WANG Pei-guang ,
  • GAO Wei
Expand

Online published: 2011-01-25

Cite this article

WANG Pei-guang , GAO Wei . Quasilinearization of an Initial Value Problem for Set Differential Equations[J]. Journal of Hebei University(Natural Science Edition), 2011 , 31(1) : 1 -6 . DOI: 10.3969/j.issn.1000-1565.2011.01.001

References

[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).
[4] BHASKAR T, LAKSMIKANTHAM V. Lyapunov stability for set differential equations [J]. Dynamic Systems and Applications 2004, 13.
[5] Laksmikantham V., Leela S., Vatsala AS.. Interconnection between set and fuzzy differential equations [J]. Nonlinear Analysis: An International Multidisciplinary Journal 2003, 2(2).
[6] RADSTROM H. An embedding theorem for space of convex sets [J]. Proceedings of the American Mathematical Society 1952, 3.
[7] LAKSMIKANTHAM V, VATSALA A. Set differential equations and monotine flows [J]. Nonlinear Dynamical Systems 2003, 3(02).
[8] LAKSMIKANTHAM V, VATSALA A. Generalized quasilinearization for nonlinear problems [M]. Dordrecht:kluwer Academic Publishers 1998.
Outlines

/

〈 〉