Nonsingle-valley Continuous Solutions of p-order Feigenbaum's Functional Equation 被引量：2

Nonsingle-valley Continuous Solutions of p-order Feigenbaum's Functional Equation

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摘要 The author considers the Feigenbaum's functional equation fp(λx) = λf(x) for each p > 2. The existence of nonsingle-valley continuous solutions to this equation is discussed and a feasible method to construct such solutions is given. The author considers the Feigenbaum's functional equation fp(λx) = λf(x) for each p > 2. The existence of nonsingle-valley continuous solutions to this equation is discussed and a feasible method to construct such solutions is given.

作者张爱华王立娟宋威

机构地区 Department of Applied Mathematics and Physics Department of Mathematics Department of Mathematics

出处《Northeastern Mathematical Journal》 CSCD 2003年第4期375-380,共6页 东北数学（英文版）

关键词 functional equation single-valley continuous solution nonsingle-valley continuous solution functional equation, single-valley continuous solution, nonsingle-valley continuous solution

分类号 O175 [理学—基础数学]

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参考文献1

1LIAO GONGFU.ON THE FEIGENBAUM'S FUNCTIONAL EQUATION_f^P (λx )=λf (x)[J].Chinese Annals of Mathematics,Series B,1994,15(1):81-88. 被引量：12

共引文献11

1王立娟,张爱华.不具有简单轨的4阶非单谷Feigenbaum映射的拟极限集[J].吉林大学学报（理学版）,2004,42(4):499-502. 被引量：2
2廖公夫,王立冬,杨柳.Fengenbaum映射的搓揉序列与特征集[J].数学学报（中文版）,2006,49(2):399-404. 被引量：3
3张爱华,王立娟.Feigenbaum函数方程的单谷扩充连续解[J].数学杂志,2006,26(1):89-93. 被引量：1
4王立娟,廖公夫.3阶Feigenbaum映射的拓扑共轭性[J].数学学报（中文版）,2006,49(4):955-960.
5廖公夫,刘恒,王立冬.具有进位吸引子的区间映射[J].数学年刊（A辑）,2006,27(5):587-594.
6王立娟.3阶非单谷Feigenbaum映射的拟极限集[J].数学学报（中文版）,2007,50(3):577-582. 被引量：2
7张爱华.P阶Feigenbaum函数方程的单峰连续偶解[J].南京邮电大学学报（自然科学版）,2008,28(5):57-59.
8范钦杰,王宏仁,杜弈秋.0-1符号空间上的*积子移位[J].吉林大学学报（理学版）,2008,46(6):1021-1024.
9刘国清,关志强,迟艳辉.Feigenbaum映射的周期点[J].哈尔滨师范大学自然科学学报,2010,26(2):22-24. 被引量：1
10汪威,朱晓刚,李俊杰,李健,廖梦兰.Feigenbaum吸引子的动力性质[J].东北师大学报（自然科学版）,2014,46(4):48-51. 被引量：2

同被引文献8

1王立娟,张爱华.不具有简单轨的4阶非单谷Feigenbaum映射的拟极限集[J].吉林大学学报（理学版）,2004,42(4):499-502. 被引量：2
2LIAO GONGFU.ON THE FEIGENBAUM'S FUNCTIONAL EQUATION_f^P (λx )=λf (x)[J].Chinese Annals of Mathematics,Series B,1994,15(1):81-88. 被引量：12
3王立娟.3阶非单谷Feigenbaum映射的拟极限集[J].数学学报（中文版）,2007,50(3):577-582. 被引量：2
4刘国清,关志强,迟艳辉.Feigenbaum映射的周期点[J].哈尔滨师范大学自然科学学报,2010,26(2):22-24. 被引量：1
5张敏,司建国.一类推广后的Feigenbaum函数方程的光滑解[J].中国科学：数学,2011,41(11):981-990. 被引量：1
6WANG WEI,LIAO LI.Likely Limit Sets of a Class of p-order Feigenbaum's Maps[J].Communications in Mathematical Research,2012,28(2):137-145. 被引量：1
7黄桂丰,许品刚.分形拟极限集的可积性[J].Journal of Mathematical Research and Exposition,2003,23(1):129-132. 被引量：1
8王立娟,张爱华.一类4阶Feigenbaum映射的拟极限集[J].吉林大学学报（理学版）,2003,41(4):436-439. 被引量：3

引证文献2

1王立娟,张慧,郑小红.非单谷Feigenbaum映射拟极限集的可乘积性[J].科技通报,2007,23(2):163-165.
2汪威,朱晓刚,李俊杰,李健,廖梦兰.Feigenbaum吸引子的动力性质[J].东北师大学报（自然科学版）,2014,46(4):48-51. 被引量：2

二级引证文献2

1付木亮,张勇,张光云,卢振坤.新三维非线性混沌系统的动力学分析[J].东北师大学报（自然科学版）,2015,47(3):68-71.
2尹社会,张勇.一类四维超混沌系统全局指数吸引集的新结果[J].东北师大学报（自然科学版）,2016,48(2):52-55.

1祁爱琴,司建国.DISCUSSION ON THE CONTINUOUS SOLUTIONS OF A FUNCTIONALE QUATION[J].Annals of Differential Equations,2000,16(1):56-61.
2J.CABALLERO,B.LóPEZ,K.SADARANGANI.Existence of Nondecreasing and Continuous Solutions of an Integral Equation with Linear Modification of the Argument[J].Acta Mathematica Sinica,English Series,2007,23(9):1719-1728.
3戴道清.PIECEWISE CONTINUOUS SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE[J].Acta Mathematica Scientia,1994,14(4):384-392. 被引量：1
4Zhou Yan,Pu Dingguo.A SMOOTHING QP-FREE INFEASIBLE METHOD FOR NONLINEAR INEQUALITY CONSTRAINED OPTIMIZATION[J].Applied Mathematics(A Journal of Chinese Universities),2007,22(4):425-433.
5Xiang CHEN.Lipschitz Continuous Solutions to the Cauchy Problem for Quasi-linear Hyperbolic Systems[J].Chinese Annals of Mathematics,Series B,2012,33(4):521-536.
6Yin Jingxue Department of Mathematics Jilin University Changchun,130023 China.Continuous Solutions of the First Boundary Value Problems for Nonlinear Diffusion Equations[J].Acta Mathematica Sinica,English Series,1994,10(1):64-71. 被引量：3
7步尚全.HLDER CONTINUOUS SOLUTIONS FOR SECOND ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Acta Mathematica Scientia,2011,31(3):765-777.
8Rabha W.Ibrahim.Continuous solutions for fractional integral inclusion in locally convex topological space[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(2):175-183. 被引量：1
9林龙威.EXISTENCE AND NONEXISTENCE OF GLOBAL CONTINUOUS SOLUTIONS OF RIEMANN PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS^(**)[J].Chinese Annals of Mathematics,Series B,1991,12(1):13-25.
10林龙威,杨彤.EXISTENCE AND NONEXISTENCE OF GLOBAL CONTINUOUS SOLUTIONS TO RIEMANN PROBLEM FOR DAMPED P-SYSTEM[J].Acta Mathematica Scientia,1993,13(1):1-12.

Northeastern Mathematical Journal

2003年第4期

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