Difference equations with absolute values

被引：3

作者：

Kent, CM ^{[1
]}

Sedaghat, H ^{[1
]}

机构：

[1] Virginia Commonwealth Univ, Dept Math, Richmond, VA 23284 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2005年 / 11卷 / 07期

关键词：

absolute value; monotonic solutions; non-autonomous equations; semiconjugate relations;

D O I：

10.1080/10236190412331334554

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of multiparameter difference equations that contain the absolute value of a difference. Using two different semiconjugate factorizations, we obtain precise information about the solutions of these equations for various ranges of parameter values.

引用

页码：677 / 685

页数：9

共 7 条

[1]

Brand L., 1955, Amer. Math. Mon., V62, P489, DOI [10.2307/2307362, DOI 10.2307/2307362]

[2]

Elaydi S., 1999, INTRO DIFFERENCE EQU, DOI [10.1007/978-1-4757-3110-1, DOI 10.1007/978-1-4757-3110-1]

[3] Convergence, periodicity and bifurcations for the two-parameter absolute-difference equation [J].

Kent, CM ;

Sedaghat, H .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (09) :817-841

[4]

KOCIC VL, 1993, GLOBAL BEHAV NONLINE

[5] Periodicity and convergence for xn+1=|xn-xn-1| [J].

Sedaghat, H .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) :31-39

[6]

Sedaghat H., 2003, INT J PURE APPL MATH, V8, P209

[7]

Sedaghat H., 2003, Nonlinear difference equations. Theory with applications to social science models, Mathematical Modelling: Theory and Applications

← 1 →