Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations

Emine Yener; Mehmet Gümüş

doi:10.33434/cams.837197

EN

Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations

Abstract

This paper deals with the study of global analysis of following $(1,2)-$type system of non-linear difference equations:\[ u_{n+1}=\frac{\alpha v_{n-1}}{\beta +\gamma v_{n}^{p}v_{n-2}^{q}},\ \ \ \ \ \ v_{n+1}=\frac{\alpha _{1}u_{n-1}}{\beta _{1}+\gamma _{1}u_{n}^{p}u_{n-2}^{q}},\ \ \ \ n=0,1,... \] where the parameters $\alpha ,\beta ,\gamma ,\alpha _{1},\beta _{1},\gamma _{1,}p,q$ and the initial conditions $u_{i},v_{i},$ $i=-2,-1,0$ are non negative real numbers.

Keywords

(1,2)-type system , difference equations , equilibrium , global stability , rate of convergence

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Emine Yener
Türkiye

Mehmet Gümüş ^*
Türkiye

Publication Date

March 29, 2021

Submission Date

December 7, 2020

Acceptance Date

December 28, 2020

Published in Issue

Year 2021 Volume: 4 Number: 1

DOI

https://doi.org/10.33434/cams.837197

IZ

https://izlik.org/JA74PE85SY

APA

Yener, E., & Gümüş, M. (2021). Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations. Communications in Advanced Mathematical Sciences, 4(1), 26-38. https://doi.org/10.33434/cams.837197

AMA

1.Yener E, Gümüş M. Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations. Communications in Advanced Mathematical Sciences. 2021;4(1):26-38. doi:10.33434/cams.837197

Chicago

Yener, Emine, and Mehmet Gümüş. 2021. “Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations”. Communications in Advanced Mathematical Sciences 4 (1): 26-38. https://doi.org/10.33434/cams.837197.

EndNote

Yener E, Gümüş M (March 1, 2021) Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations. Communications in Advanced Mathematical Sciences 4 1 26–38.

IEEE

[1]E. Yener and M. Gümüş, “Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations”, Communications in Advanced Mathematical Sciences, vol. 4, no. 1, pp. 26–38, Mar. 2021, doi: 10.33434/cams.837197.

ISNAD

Yener, Emine - Gümüş, Mehmet. “Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations”. Communications in Advanced Mathematical Sciences 4/1 (March 1, 2021): 26-38. https://doi.org/10.33434/cams.837197.

JAMA

1.Yener E, Gümüş M. Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations. Communications in Advanced Mathematical Sciences. 2021;4:26–38.

MLA

Yener, Emine, and Mehmet Gümüş. “Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations”. Communications in Advanced Mathematical Sciences, vol. 4, no. 1, Mar. 2021, pp. 26-38, doi:10.33434/cams.837197.

Vancouver

1.Emine Yener, Mehmet Gümüş. Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations. Communications in Advanced Mathematical Sciences. 2021 Mar. 1;4(1):26-38. doi:10.33434/cams.837197

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Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations

Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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