Boundedness and asymptotic behavior of positive solutions for difference equations of exponential form

Volume 8, Issue 5, pp 893--899 http://dx.doi.org/10.22436/jnsa.008.05.39

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Authors

Huili Ma - Department of Mathematics, Northwest Normal University, Lanzhou Gansu 730070, China. Hui Feng - Department of Mathematics, Northwest Normal University, Lanzhou Gansu 730070, China. Jiaofeng Wang - Department of Mathematics, Northwest Normal University, Lanzhou Gansu 730070, China. Wandi Ding - Department of Mathematics, Middle Tennessee State University, Murfreesboro TN 37130, USA.

Abstract

In this paper we study the boundedness and the asymptotic behavior of the positive solutions of the difference equation \[x_{n+1} = a + bx_ne^{-x_{n-1}},\] where \(a; b\) are positive constants, and the initial values \(x_{-1}; x_0\) are positive numbers.

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ISRP Style

Huili Ma, Hui Feng, Jiaofeng Wang, Wandi Ding, Boundedness and asymptotic behavior of positive solutions for difference equations of exponential form, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 893--899

AMA Style

Ma Huili, Feng Hui, Wang Jiaofeng, Ding Wandi, Boundedness and asymptotic behavior of positive solutions for difference equations of exponential form. J. Nonlinear Sci. Appl. (2015); 8(5):893--899

Chicago/Turabian Style

Ma, Huili, Feng, Hui, Wang, Jiaofeng, Ding, Wandi. "Boundedness and asymptotic behavior of positive solutions for difference equations of exponential form." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 893--899

Keywords

Difference equations
boundedness
asymptotic stability.

MSC

39A23
39A10

References

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