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@article{PFMT_2014_1_a13, author = {Zhengxin Zhou}, title = {On the periodic solutions of the rational differential equations}, journal = {Problemy fiziki, matematiki i tehniki}, pages = {81--84}, publisher = {mathdoc}, number = {1}, year = {2014}, language = {en}, url = {http://geodesic.mathdoc.fr/item/PFMT_2014_1_a13/} }
Zhengxin Zhou. On the periodic solutions of the rational differential equations. Problemy fiziki, matematiki i tehniki, no. 1 (2014), pp. 81-84. http://geodesic.mathdoc.fr/item/PFMT_2014_1_a13/
[1] M. A. M. Alwash, N. G. Lloyd, “Non-autonomous equations related to polynomial two-dimensional systems”, Proc. Roy. Soc. Edinburgh Sect. A, 105 (1987), 129–152 | DOI | MR | Zbl
[2] Yang Lijun, Tang Yuan, “Some new results on Abel equations”, J. Math. Anal. Appl., 261 (2001), 100–112 | DOI | MR | Zbl
[3] A. P. Sadowski, Polynomial ideals and manifold, University Press, Minsk, 2008
[4] V. I. Mironenko, Analysis of reflective function and multivariate differential system, University Press, Gomel, 2004, 196 pp. | Zbl
[5] V. I. Arnold, Ordinary differential equation, Science Press, M., 1971, 198–240
[6] V. I. Mironenko, “The reflecting function of a family of functions”, Differ. Equ., 36:12 (2000), 1636–1641 | DOI | MR | Zbl
[7] L. A. Alisevich, “On linear system with triangular reflective function”, Differ. Equ., 25:3 (1989), 1446–1449
[8] 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), 647–654 | DOI | MR | Zbl
[9] V. V. Mironenko, “Time symmetry preserving perturbations of differential systems”, Differ. Equ., 40:20 (2004), 1395–1403 | DOI | MR | Zbl
[10] P. P. Verecovich, “Nonautonomous second order quadric system equivalent to linear system”, Differ. Equ., 34:12 (1998), 2257–2259
[11] S. V. Maiorovskaya, “Quadratic systems with a linear reflecting function”, Differ. Equ., 45:2 (2009), 271–273 | DOI | MR | Zbl
[12] Zhou Zhengxin, “On the reflective function of polynomial differential system”, J. Math. Anal. Appl., 278:1 (2003), 18–26 | DOI | MR | Zbl
[13] Zhou Zhengxin, “The structure of reflective function of polynomial differential systems”, Nonlinear Analysis, 71 (2009), 391–398 | DOI | MR | Zbl
[14] Zhou Zhengxin, “Research on the properties of some planar polynomial differential equations”, Appl. Math. Comput., 218 (2012), 5671–5681 | DOI | MR | Zbl