Analytic Solutions and Stability of Sixth Order Difference Equations

Alayachi H. S.; Noorani M. S. M.; Khan A. Q.Almatrafi M. B.

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Analytic Solutions and Stability of Sixth Order Difference Equations

机译：Analytic Solutions and Stability of Sixth Order Difference Equations

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In the present paper, the global attractor, local stability, and boundedness of the solution of sixth order difference equations are investigated analytically and numerically. The exact solutions of three equations are presented by utilizing Fibonacci sequence. We also analyse the periodicity of a sixth order difference equation. The considered difference equations are given by y(n+1) = Ay(n-1) +/- (By(n-1)y(n-3)/Cyn-3 +/- Dyn-5), n = 0, 1, ... , where the initial conditions y(-5), y(-4),y(-3), y(-2), y(-1), and y(0) are arbitrary real numbers and the values A, B, C, and D are defined as positive real numbers.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第34期|1230979.1-1230979.12|共12页
作者
Alayachi H. S.; Noorani M. S. M.; Khan A. Q.Almatrafi M. B.;
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Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi, Selangor, Malaysia|Taibah Univ, Dept Math, Coll Sci, Al Madinah Al Munawarah, Saudi Arabia;

Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi, Selangor, Malaysia;

Univ Azad Jammu & Kashmir, Dept Math, Muzaffarabad 13100, PakistanTaibah Univ, Dept Math, Coll Sci, Al Madinah Al Munawarah, Saudi Arabia;

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Analytic Solutions and Stability of Sixth Order Difference Equations

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