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Quickly oscillating solutions of autonomous ordinary differential equations. (English) Zbl 0229.34033


MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] Andrzej Lasota, Convergence to zero of oscillating integrals of an ordinary differential equation of the second order, Zeszyty Nauk Uniw. Jagiello. Prace Mat. No. 6 (1961), 27 – 33 (Polish, with English and Russian summaries).
[2] A. Lasota and C. Olech, An optimal solution of Nicoletti’s boundary value problem, Ann. Polon. Math. 18 (1966), 131 – 139. · Zbl 0144.10301
[3] A. Lasota and James A. Yorke, Oscillatory solutions of second order ordinary differential equations, Ann. Polon. Math. 25 (1971/72), 175 – 178. · Zbl 0231.34030
[4] Marian Łuczyński, On the convergence to zero of oscillating solutions of an ordinary differential equation of order \?, Zeszyty Nauk. Uniw. Jagiello. Prace Mat. No. 7 (1962), 17 – 20. · Zbl 0262.34030
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