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The number of periodic solutions of 2-dimensional periodic systems. (English) Zbl 0476.34033


MSC:

34C25 Periodic solutions to ordinary differential equations
Full Text: DOI

References:

[1] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York · Zbl 0042.32602
[2] Hale, J. K., Ordinary Differential Equations (1969), Wiley-Interscience: Wiley-Interscience New York · Zbl 0186.40901
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[4] Loud, W. S., Boundedness and convergence of solutions of \(ẍ + c}x + g(x) = e(t)\), Duke Math. J., 24, 63-72 (1957) · Zbl 0077.09002
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[7] Reuter, G. E.H, Boundedness theorems for nonlinear differential equations of the second order, J. London Math. Soc., 27, 48-58 (1952) · Zbl 0048.06901
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[10] Pliss, V. A., System differential equations having an infinite number of stable periodic solutions, Differential’nye Uravnenija, 10, 12, 1685-1688 (1974), [English] · Zbl 0325.34057
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