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Weighted Limit Solution of a Nonlinear Ordinary Differential Equation at a Singular Point and Its Property

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On a finite interval, we consider a system of nonlinear ordinary differential equations with singularity at the left endpoint of the interval. The definition of weighted limit solution is introduced and its attracting property is established.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Simulations, Ministry of Education and Science of the Republic of Kazakhstan, Alma-Ata, Kazakhstan

    D. S. Dzhumabaev & R. E. Uteshova

  2. International University of Information Technologies, Alma-Ata, Kazakhstan

    D. S. Dzhumabaev & R. E. Uteshova

Authors
  1. D. S. Dzhumabaev
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  2. R. E. Uteshova
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 12, pp. 1717–1722, December, 2017.

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Dzhumabaev, D.S., Uteshova, R.E. Weighted Limit Solution of a Nonlinear Ordinary Differential Equation at a Singular Point and Its Property. Ukr Math J 69, 1997–2004 (2018). https://doi.org/10.1007/s11253-018-1483-2

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  • DOI: https://doi.org/10.1007/s11253-018-1483-2

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