Existence of small periodic solutions of nonlinear systems of ordinary differential equations

被引：0

作者：

Terekhin M.T. ^{[1
]}

机构：

[1] Ryazan Pedagogic University, Ryazan

来源：

Ukrainian Mathematical Journal | 2001年 / 53卷 / 5期

关键词：

Differential Equation; Ordinary Differential Equation; Nonlinear System; Periodic Solution; Linear Approximation;

D O I：

10.1023/A:1012534418038

中图分类号：

学科分类号：

摘要：

We investigate the case where conditions for the existence of a nonzero periodic solution of a system of ordinary differential equations are determined by the properties of elements of the matrix of linear approximation and the properties of nonlinear terms. © 2001 Plenum Publishing Corporation.

引用

页码：785 / 795

页数：10

共 5 条

[1] Cronin J., Bifurcation of periodic solutions, J. Math. Anal. Appl, 68, 1, pp. 130-151, (1979)
[2] Spiring F., Sequence of bifurcations in a three-dimensional system with a critical point, ZAMP, 34, 3, pp. 259-276, (1973)
[3] Langman K.A., Bifurcation and stability of a periodic solution from zero eigenvalue, J. Austral. Math. Soc., 21, 1, pp. 2-20, (1973)
[4] Flockerzi D., Bifurcation formulas for O. D. E's in R<sup>n</sup>, Nonlin. Anal: Theory, Meth. Appl., 5, 3, pp. 249-263, (1981)
[5] Grudo E.I., Periodic solutions of periodic differential systems in the general critical case, Differents. Uravn., 18, 5, pp. 763-767, (1982)

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