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THE REFLECTIVE FUNCTION REPRESENTED BY THREE EXPONENTIAL MATRIXES
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 Title & Authors
THE REFLECTIVE FUNCTION REPRESENTED BY THREE EXPONENTIAL MATRIXES
Zhou, Zhengxin;
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 Abstract
In this article, we discuss the reflective function which can be represented by three exponential matrixes and apply the results to studying the existence of periodic solutions of these systems. The obtained conclusions extend and improve the foregoing results.
 Keywords
reflecting function;periodic system;asymptotic behavior;
 Language
English
 Cited by
 References
1.
V. I. Arnol'd, Ordinary Differential Equation, Science Press, Moscow, 1971.

2.
P. Hartman, Ordinary Differential Equations, Moscow, 1970.

3.
V. I. Mironenko, Reflecting Function and Periodic Solutions of Differential Equations, Univ. Press, Minsk, 1986.

4.
V. V. Mironenko, Time symmetry preserving perturbations of differential systems, Differ. Equ. 40 (2004), no. 10, 1395–1403. crossref(new window)

5.
E. V. Musafirov, Differential systems, the mapping over period for which is represented by a product of three exponential matrixes, J. Math. Anal. Appl. 329 (2007), no. 1, 647–654. crossref(new window)

6.
E. V. Musafirov, On differential systems whose reflection matrix is the product of matrix exponentials, Vestsi Nats. Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk 2002 (2002), no. 1, 44–50, 126.

7.
P. P. Verecovitch, Nonautonomous two-dimensional quadratic systems that are equivalent to linear systems, Differ. Equ. 34 (1998), no. 10, 1421–1424.

8.
Z. Zhengxin, On the reflective function of polynomial differential system, J. Math. Anal. Appl. 278 (2003), no. 1, 18–26. crossref(new window)

9.
Z. Zhengxin and Y. Yuexin, On the reflective function for two-dimensional quadratic differential systems, Math. Appl. (Wuhan) 15 (2002), no. 4, 85–91.