On the behavior of the solutions of an abstract system of difference equations

Boulouh, Mounira; Touafek, Nouressadat; Tollu, Durhasan Turgut

doi:10.1007/s12190-021-01641-7

Cited by 5 publications

(2 citation statements)

References 22 publications

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“…We can say that the results we have obtained here have gathered and developed many previous studies under one roof. Contributing to the theory of difference equations introduced with the help of homogeneous functions [20][21][22][23]26] in this article has been one of the main aims.…”

Section: Conclusion and Suggestionsmentioning

confidence: 99%

On the Qualitative Behavior of the Difference Equation $\delta _{m+1}=\omega +\zeta \frac{f(\delta _{m},\delta _{m-1})}{\delta _{m-1}^{\beta}}$

GÜMÜŞ

EĞİLMEZ

2023

Math. Sci. Appl. E-Notes

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In this paper, we aim to investigate the qualitative behavior of a general class of non-linear difference equations. That is, the prime period two solutions, the prime period three solutions and the stability character are examined. We also use a new technique introduced in [1] by E. M. Elsayed and later developed by O. Moaaz in [2] to examine the existence of periodic solutions of these general equations. Moreover, we use homogeneous functions for the investigation of the dynamics of the aforementioned equations.

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Section: Conclusion and Suggestionsmentioning

confidence: 99%

On the Qualitative Behavior of the Difference Equation $\delta _{m+1}=\omega +\zeta \frac{f(\delta _{m},\delta _{m-1})}{\delta _{m-1}^{\beta}}$

GÜMÜŞ

EĞİLMEZ

2023

Math. Sci. Appl. E-Notes

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“…In 2012, we studied the convergence of solutions of a class of higher-order rational diference equations [7] and gave a sufcient condition, under which the solutions of the equation converge to the two periodic solutions of the equation. For recent research on systems of diference equations, see [8][9][10] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

The Periodic Solutions of a Class of Difference Equations

Wang

You

Zhang

2022

Journal of Mathematics

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In this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2 k -periodic solution by using relevant theoretical knowledge such as upper and lower limits and congruence. Finally, the theoretical results are verified by numerical simulation. The method used in this paper provides an idea for the study of high periodic solutions.

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