About this Journal Submit a Manuscript Table of Contents
International Journal of Differential Equations
Volume 2011 (2011), Article ID 871574, 11 pages
http://dx.doi.org/10.1155/2011/871574
Research Article

Topological Conjugacy between Two Kinds of Nonlinear Differential Equations via Generalized Exponential Dichotomy

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received 3 July 2011; Accepted 15 August 2011

Academic Editor: Yuri V. Rogovchenko

Copyright © 2011 Xiaodan Chen and Yonghui Xia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. Hartman, “On the local linearization of differential equations,” Proceedings of the American Mathematical Society, vol. 14, pp. 568–573, 1963. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. K. J. Palmer, “A generalization of Hartman's linearization theorem,” Journal of Mathematical Analysis and Applications, vol. 41, pp. 753–758, 1973. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. J. Shi, “An improvement of Harman's linearization thoerem,” Science in China A, vol. 32, pp. 458–470, 2002.
  4. L. P. Jiang, “A generalization of Palmer's linearization theorem,” Mathematica Applicata, vol. 24, no. 1, pp. 150–157, 2011 (Chinese).
  5. A. Reinfeld, “A generalized Grobman-Hartman theorem,” Latviĭskiĭ Matematicheskiĭ Ezhegodnik, vol. 29, pp. 84–88, 1985.
  6. A. Reinfelds, “A reduction theorem for systems of differential equations with impulse effect in a Banach space,” Journal of Mathematical Analysis and Applications, vol. 203, no. 1, pp. 187–210, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. Y. Xia, J. Cao, and M. Han, “A new analytical method for the linearization of dynamic equation on measure chains,” Journal of Differential Equations, vol. 235, no. 2, pp. 527–543, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. W. A. Coppel, Dichotomies in Stability Theory, vol. 629 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1978.
  9. M. Lin, “Generalized exponential dichotomy,” Journal of Fuzhou University, vol. 10, no. 4, pp. 21–30, 1982 (Chinese).