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Existence of positive solutions in a delay logistic difference equation

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Abstract

The author studied the existence of positive solutions of the delay logistic difference equation

$$\Delta \gamma _n = p_n \gamma _n (1 - \gamma _{\tau (n)} ),n = 0,1,2,....$$

where {p n} is a sequence of positive real numbers, {τ(n)} is a nondecreasing sequence of integers, τ(n)<n and \(\mathop {\lim }\limits_{n \to \infty } \) τ (n)=∞. A sufficient condition for the existence of positive solutions of the equation was given.

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Authors and Affiliations

  1. Department of Applied Mathematics and Applied Software, Central South University, 410083, Changsha, China

    Zhou Ying-gao

Authors
  1. Zhou Ying-gao
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Additional information

Foundation item: The National Natural Science Foundation of China(No. 19831030)

Biography of the first author: ZHOU Ying-gao, lecturer, born in 1963, majoring in differential equation and difference equation.

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Zhou, Yg. Existence of positive solutions in a delay logistic difference equation. J Cent. South Univ. Technol. 9, 142–144 (2002). https://doi.org/10.1007/s11771-002-0060-9

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  • DOI: https://doi.org/10.1007/s11771-002-0060-9

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