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Journal of Mathematical Sciences

, Volume 238, Issue 3, pp 215–223 | Cite as

Asymptotic Bounds for the Solutions of a Functional-Differential Equation with Linearly Transformed Argument

  • D. V. Bel’skii
  • G. P. Pelyukh
Article
  • 4 Downloads

We establish new properties of solutions of a functional-differential equation with linearly transformed argument.

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References

  1. 1.
    E.-B. Lim, “Asymptotic bounds of solutions of the functional differential equation,” SIAM J. Math. Anal., 9, No. 5, 915–920 (1978).MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    G. P. Pelyukh and D. V. Bel’skii, “On the asymptotic properties of the solutions of a linear functional-differential equation of neutral type with constant coefficients and linearly transformed argument,” Nelin. Kolyv., 15, No. 4, 466–493 (2012); English translation: J. Math. Sci., 194, No. 4, 374–403 (2013).Google Scholar
  3. 3.
    D. V. Bel’skii and G. P. Pelyukh, “On the asymptotic properties of solutions of functional-differential equations with linearly transformed argument,” Nelin. Kolyv., 20, No. 3, 291–302 (2017); English translation: J. Math. Sci., 236, No. 3, 225–237 (2019).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • D. V. Bel’skii
    • 1
  • G. P. Pelyukh
    • 1
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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