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Asymptotic solutions of nonlinear differential equations

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Abstract

An asymptotic expression for solutions of nonlinear differential equations is obtained.

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Literature cited

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    J. Tong, “The asymptotic behavior of a class of nonlinear differential equations of second order,” Proc. Am. Math. Soc.,84, No. 2, 235–236 (1982).

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    E. V. Voskresenskii, “Asymptotic equivalence of systems of differential equations with linear autonomous first approximations,” Mat. Kommentarii. Karlova Univ.,24, No. 1, 31–50 (1983).

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    N. Rouche, P. Habets, and M. Laloy, Stability Theory by Lyapunov's Direct Method. Applied Mathematical Sciences, Vol. 22, Springer-Verlag, New York (1977).

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    E. V. Voskresenskii, “Cesari's problem,” Differents. Uravn.,25, No. 9, 1480–1485 (1989).

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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 676–678, May, 1991.

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Voskresenskii, E.V. Asymptotic solutions of nonlinear differential equations. Ukr Math J 43, 627–629 (1991). https://doi.org/10.1007/BF01058550

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Keywords

  • Differential Equation
  • Asymptotic Solution
  • Nonlinear Differential Equation
  • Asymptotic Expression