Chuanxi Qian, Yijun Sun
Abstract:
In this paper, we study the asymptotic behavior of positive
solutions of the nonlinear difference equation
where
is a unimodal
function, and
is a nonnegative integer. Sufficient
conditions for the positive equilibrium to be a global attractor
of all positive solutions are established. Our results can be
applied to to some difference equations derived from mathematical
biology.
Published February 28, 2007.
Math Subject Classifications: 39A10.
Key Words: Nonlinear difference equation; global attractor;
unimodal function; positive equilibrium.
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Chuanxi Qian Department of Mathematics and Statistics Mississippi State University Mississippi State, MS 39762, USA email: qian@math.msstate.edu | |
Yijun Sun Department of Mathematics and Statistics Mississippi State University Mississippi State, MS 39762, USA email: ys101@msstate.edu |
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