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Oscillatory and asymptotic behaviour of second order nonlinear difference equations

  • Bing Liu (a1) and Jurang Yan (a2)

Abstract

In this paper we are dealing with oscillatory and asymptotic behaviour of solutions of second order nonlinear difference equations of the form

Some sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) is considered also.

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References

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1. Cheng, Sui-Sun and Li, Horng-Jaan, Bounded and zero convergent solutions of second order difference equations. J. Math. Anal. Appl. 141 (1989), 463483.
2. Drozdowicz, Andrzej and Popenda, Jerzy, Asymptotic behavior of solutions of difference equation of second order, J. Comput. Appl. Math. 47 (1993), 141149.
3. He, Hue-Zhong, Oscillatory and asymptotic behavior of second order nonlinear difference equations. J. Math. Anal. Appl. 175 (1993), 482498.
4. Szafranski, Zdzislaw and Szmanda, Blazej, Oscillatory behavior of difference equations of second order, J. Math. Anal. Appl. 150 (1990), 414424.
5. Trench, William F., Asymptotic behavior of solutions of Emden—fowler difference equations with oscillating coefficients, J. Math. Anal. Appl. 179 (1993), 135153.
6. Zhang, B. G., Oscillation and asymptotic behavior of second order difference equations, J. Math. Anal. Appl. 173 (1993), 5868.
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Oscillatory and asymptotic behaviour of second order nonlinear difference equations

  • Bing Liu (a1) and Jurang Yan (a2)

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