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Sufficient conditions for the global stability of nonautonomous higher order difference equations |
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| Authors: | Leonid Berezansky Elena Braverman |
| Institution: | 1. Ben-Gurion University of the Negev, Department of Mathematics , Beer-Sheva , 84105 , Israel;2. University of Calgary, Department of Mathematics and Statistics , 2500 University Drive N.W., Calgary , AB , Canada , T2N 1N4 |
| Abstract: | We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate our main results with some examples. In particular, the stability properties of the equilibrium in a nonlinear model in macroeconomics is addressed. |
| Keywords: | Difference equations Exponential stability Asymptotic stability Nonlinear model 39A10 39A11 |