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Mathematics

Selected Works

Selected Works

Difference equations

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An Extension Of Sharkovsky’S Theorem To Periodic Difference Equations, Ziyad Alsharawi, James Angelos, Saber Elaydi, Leela Rakesh Aug 2015

An Extension Of Sharkovsky’S Theorem To Periodic Difference Equations, Ziyad Alsharawi, James Angelos, Saber Elaydi, Leela Rakesh

Saber Elaydi

We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties.

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Asymptotic Stability Of Linear Difference Equations Of Advanced Type, Fozi Dannan, Saber Elaydi Aug 2015

Asymptotic Stability Of Linear Difference Equations Of Advanced Type, Fozi Dannan, Saber Elaydi

Saber Elaydi

Necessary and sufficient conditions are obtained for the asymptotic stability of difference equations of advanced typen of the form x(n) - ax(n+1) + bx(n+k) = 0, n = 0, 1, .. where a and b are arbitrary real numbers and k > 1. For a = 1, we establish an analogue of a result by Levin and May.

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Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench Dec 2005

Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench

William F. Trench

No abstract provided.

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Systems Of Difference Equations With Asymptotically Constant Solutions, William F. Trench Dec 1999

Systems Of Difference Equations With Asymptotically Constant Solutions, William F. Trench

William F. Trench

No abstract provided.

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Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench Dec 1998

Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench

William F. Trench

No abstract provided.

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Invertibly Convergent Infinite Products Of Matrices, With Applications To Difference Equations, William F. Trench Dec 1994

Invertibly Convergent Infinite Products Of Matrices, With Applications To Difference Equations, William F. Trench

William F. Trench

No abstract provided.

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