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Existence of positive solutions of systems of Volterra nonlinear difference equations

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Nonlinear Oscillations

Abstract

In this paper, a classification scheme for eventually positive solutions of a class of two-dimensional Volterra nonlinear difference equations is given in terms of asymptotic magnitudes. Some necessary as well as sufficient conditions for the existence of such solutions are provided without any monotonicity conditions on the nonlinear term.

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Authors and Affiliations

  1. Xuzhou Normal University, Xuzhou, People’s Republic of China

    Jiang Zhu & Xiaolan Liu

Authors
  1. Jiang Zhu
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  2. Xiaolan Liu
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Additional information

Published in Neliniini Kolyvannya, Vol. 9, No. 1, pp. 37–47, January–March, 2006.

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Zhu, J., Liu, X. Existence of positive solutions of systems of Volterra nonlinear difference equations. Nonlinear Oscill 9, 34–45 (2006). https://doi.org/10.1007/s11072-006-0023-4

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  • DOI: https://doi.org/10.1007/s11072-006-0023-4

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