1. Asymptotic behaviour of nonlinear difference equations.
- Author
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Győri, István and Hartung, Ferenc
- Subjects
- *
ASYMPTOTIC normality , *NONLINEAR difference equations , *VOLTERRA equations , *EIGENVALUES , *MULTIPLICITY (Mathematics) , *DISCRETE groups - Abstract
In this paper, we investigate the growth/decay rate of solutions of a class of nonlinear Volterra difference equations. Our results can be applied for the case when the characteristic equation of an associated linear difference equation has complex dominant eigenvalue with higher than one multiplicity. Illustrative examples are given for describing the asymptotic behaviour of solutions in a class of linear difference equations and in several discrete nonlinear population models. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
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