Journal of Hebei University(Natural Science Edition) >

2014 , Vol. 34 >Issue 6: 561 - 565

DOI: https://doi.org/10.3969/j.issn.1000-1565.2014.06.001

Equi-integrally φ0-relative stability of nonlinear differential systems

  • WANG Peiguang ,
  • XU Qing
Expand

Online published: 2014-11-25

Fold

Cite this article

WANG Peiguang , XU Qing . Equi-integrally φ0-relative stability of nonlinear differential systems[J]. Journal of Hebei University(Natural Science Edition), 2014 , 34(6) : 561 -565 . DOI: 10.3969/j.issn.1000-1565.2014.06.001

References

[1] LAKSHMIKANTHAM V, LEELA S. Differential and integral inequalities [M]. New York:New York Academic Press 1969.
[2] El-Sheikh MMA., Abd Alla MH., Soliman AA.. On stability of nonlinear differential systems via cone-valued Liapunov function method [J]. Applied mathematics and computation 2001, 2/3(2/3).
[3] WANG Peiguang, FAN Yongyan, WU Yonghong. On relative φ0-stability of impulsive hybrid systems via perturbing Lyapunov functions [J]. Applied Mathematics and Computation 2010, 216.
[4] AKPAN E P, AKINYELE O. On the φ0-stability of comparison differential systems [J]. Journal of Mathematical Analysis and Applications 1992, 164.
[5] WANG Peiguang, GENG Fengjie. On relative φ0-stability of nonlinear systems of functional differential equations [J]. International Journal of Pure and Applied Mathematics 2003, 1.
[6] EL-SHEIKH M M A, SOLIMAN A A. φ0-Stability criteria of nonlinear systems of differential equations [J]. Pan Amer Math J 1995, 5(03).
[7] EL-SHEIKH M M A, SOLIMAN A A. On stability of nonlinear systems of functional differential equations [J]. Applied Mathematics and Computation 2000, 107.
[8] WANG Peiguang, LIU Xia. φ0-Stability of hybrid impulsive dynamic systems on time scales [J]. Journal of Mathematical Analysis and Applications 2007, 334.
[9] WANG Peiguang, WU Meng. φ0-Boundedness and φ0-stability of difference equations [J]. Computers & Mathematics with Applications 2011, 62.
[10] S. G. Hristova. Integral stability in terms of two measures for impulsive functional differential equations [J]. Mathematical and computer modelling 2010, 1/2(1/2).
[11] A. A. Soliman, M. H. Abdalla. Integral stability criteria of nonlinear differential systems [J]. Mathematical and computer modelling 2008, 1/2(1/2).
[12] Soliman AA. On stability for impulsive perturbed systems via cone-valued Lyapunov function method [J]. Applied mathematics and computation 2004, 1(1).
[13] 廖晓昕. 稳定性的理论、方法和应用 [M]. 武汉:华中科技大学出版社 2010.
[14] LAKSHMIKANTHAM V, LEELA S. Cone-valued Lyapunov functions [J]. Nonlinear Anal 1977, 1(03).
Options
Outlines

/

〈 〉