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The asymptotic behavior of solutions of a certain nonlinear Volterra equation

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Abstract

We study the asymptotic behavior of bounded and unbounded solutions to the Volterra-Hammerstein equation. We obtain conditions for the admissibility of a pair of spaces consisting of the sum of a quasipolynomial and the Taylor expansion at infinity.

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References

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Authors and Affiliations

  1. Kuban State University, ul. Stavropol’skaya 149, Krasnodar, 350040, Russia

    Z. B. Tsalyuk

  2. Krasnodar Regional Institute of Supplementary Professional Pedagogical Education, ul. Sormovskaya 167, Krasnodar, 350080, Russia

    M. V. Tsalyuk

Authors
  1. Z. B. Tsalyuk
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  2. M. V. Tsalyuk
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Correspondence to Z. B. Tsalyuk.

Additional information

Original Russian Text © Z.B. Tsalyuk and M.V. Tsalyuk, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 7, pp. 35–55.

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Tsalyuk, Z.B., Tsalyuk, M.V. The asymptotic behavior of solutions of a certain nonlinear Volterra equation. Russ Math. 56, 30–38 (2012). https://doi.org/10.3103/S1066369X12070043

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  • DOI: https://doi.org/10.3103/S1066369X12070043

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