非自治差分方程的周期解

Periodic solutions to nonautonomous difference equations.

作者信息

Clark M E, Gross L J

机构信息

Department of Mathematics, University of Tennessee, Knoxville 37996-1300.

出版信息

Math Biosci. 1990 Nov;102(1):105-19. doi: 10.1016/0025-5564(90)90057-6.

DOI:10.1016/0025-5564(90)90057-6

PMID:2134487

Abstract

A technique is presented for determining when periodic solutions to nonautonomous periodic difference equations exist. Under certain constraints, stable periodic solutions can be guaranteed to exist, and this is used to compare the analogous behavior of a nonautonomous periodic hyperbolic difference equation to that of the nonautonomous periodic Pearl-Verhulst logistic differential equation.

摘要

本文提出了一种确定非自治周期差分方程周期解存在时间的技术。在某些约束条件下，可以保证存在稳定的周期解，并用此来比较非自治周期双曲型差分方程与非自治周期Pearl-Verhulst逻辑微分方程的类似行为。