一个推广的极大型非线性差分方程解的特性

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 284-289.

一个推广的极大型非线性差分方程解的特性

Department of Basic Courses, Hebei Finance University

收稿日期:2011-12-26 出版日期:2013-06-30 发布日期:2023-03-03
作者简介:SHI Qi-hong(1984-), male, native of Tianshui, Gansu, a lecturer of Hebei Finance University, M.S.D., engaged in diﬀerence equation and partial diﬀerential equations.
基金资助:
Supported by the NSF of Universities in Hebei Province(Z2011111)； Supported by the Foundation of General Demonstration Course

Characters of the Solutions to a Generalized Nonlinear Max-type Diﬀerence Equation

Department of Basic Courses, Hebei Finance University

Received:2011-12-26 Online:2013-06-30 Published:2023-03-03
About author:SHI Qi-hong(1984-), male, native of Tianshui, Gansu, a lecturer of Hebei Finance University, M.S.D., engaged in diﬀerence equation and partial diﬀerential equations.
Supported by:
Supported by the NSF of Universities in Hebei Province(Z2011111)； Supported by the Foundation of General Demonstration Course

摘要/Abstract

摘要： This paper is concerned with the boundedness and asymptotic behavior of positive solutions for a generalized difference equation arising from automatic control theory. The main results improve and extend the ones in the previous works to a large extent. One in particular is that Rouche’s theorem is available to prove the convergence of solutions.

关键词: nonlinear, max-type, boundedness, asymptotic behavior

Abstract: This paper is concerned with the boundedness and asymptotic behavior of positive solutions for a generalized difference equation arising from automatic control theory. The main results improve and extend the ones in the previous works to a large extent. One in particular is that Rouche’s theorem is available to prove the convergence of solutions.

Key words: nonlinear, max-type, boundedness, asymptotic behavior

中图分类号:

O175.2

石启宏, 苏兴, 袁国强, 肖倩. 一个推广的极大型非线性差分方程解的特性[J]. 数学季刊, 2013, 28(2): 284-289.

SHI Qi-hong, SU Xing, YUAN Guo-qiang, XIAO Qian. Characters of the Solutions to a Generalized Nonlinear Max-type Diﬀerence Equation[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 284-289.

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