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| 1 | Method of Characteristic for Functional Equations in Polynomial Form | Janusz Matkowski (Department of Mathematics,Technical University of Bielsko-Biala 43-309 Bielsko-Biala,Poland)Zhang Weinian (Department of Mathematics,Sichung Union University,East Area,Chengdu 610041,China) | 1997 | Acta Mathematica Sinica,English Series1997，13，3： | 8 |
| 2 | Characteristic analysis for a polynomial-like iterative equation显示文摘In the light of Euler’s idea for differential equations,a polynomial_like n _order iterative equation is discussed through analyzing its characteristic polynomial. An unproved result is verified rigorously for the first time. Then some conclusions on how the solutions are ruled by those characteristic roots follow. | Janusz Matkowski 1 and ZHANG Weinian 2 1. Department of Mathematics, Technical University, 43_300 Bielsko_Biala, Poland 2. Department of Mathematics, Sichuan Union University, Chengdu 610064, China | 1998 | Chinese Science Bulletin1998，43，3： | 4 |
| 3 | Real polynomial iterative roots in the case of nonmonotonicity height ≥ 2显示文摘It is known that a strictly piecewise monotone function with nonmonotonicity height ≥ 2 on a compact interval has no iterative roots of order greater than the number of forts. An open question is: Does it have iterative roots of order less than or equal to the number of forts? An answer was given recently in the case of 'equal to'. Since many theories of resultant and algebraic varieties can be applied to computation of polynomials, a special class of strictly piecewise monotone functions, in this paper we investigate the question in the case of 'less than' for polynomials. For this purpose we extend the question from a compact interval to the whole real line and give a procedure of computation for real polynomial iterative roots. Applying the procedure together with the theory of discriminants, we find all real quartic polynomials of non-monotonicity height 2 which have quadratic polynomial iterative roots of order 2 and answer the question. | YANG LiLi YANG Lu YU ZhiHeng ZHANG WeiNian | 2012 | Science China Mathematics2012，55，12： | 4 |
| 4 | Dimension of Maximal Attractors for the m-dimensional Cahn Hilliard System显示文摘根据在产品空格的 m-dimensionalCahn-Hilliard 系统的最大的引起注意的人的存在(L^2 (Ω))~ m 并且(H^2 (Ω))~ m 在这篇论文,它的 Hausdorffdimension 被计算系统的线性变化操作符的直角的设计估计。 | Wei Nian ZHANG(Weinian Zhang) | 2005 | Acta Mathematica Sinica,English Series2005，21，6： | 2 |
| 5 | Bifurcation of homoclinics in a nonlinear oscillation显示文摘 | Zhang Weinian | 1989 | Acta Mathematica Sinica1989，，2： | 1 |
| 6 | Analytic solutions of a class of iterative functional differential equation 显示文摘 | Si Jianguo Zhang Weinian | 2004 | Journal of Computational and Applied Mathematics2004，162，： | 1 |
| 7 | Modeling the transmission dynamics and control of hepatitis B virus in China 显示文摘 | Lan Zou Weinian Zhang Shigui Ruan | 2010 | Journal of Theoretical Biology2010，262，3： | 1 |
| 8 | Some new delay integral inequality and their applications 显示文摘 | LI Weinian HAN Maoan MENG Fanwei | 2005 | J Comput Appl Math2005，180，： | 1 |
| 9 | On some new integral inequalities and their applications 显示文摘 | MENG Fanwei LI Weinian | 2004 | Appl Math Comput2004，148，： | 1 |
| 10 | Melnikov method for homoclinic bifurcation in nonlinear impact oscillators显示文摘 | Du Zhengdong Zhang Weinian | 2005 | Computers and Mathematics with Applications2005，50，3： | 1 |
| 11 | Analytic solutions of a class of iterative functional differential equation显示文摘 | SI Jianguo ZHANG Weinian | 2004 | J Comput Appll Math2004，162，： | 1 |
| 12 | Analytic solutions of an iterative functional differential equation显示文摘 | SI Jianguo ZHANG Weinian KIM Gwang-hui | 2004 | Appl Math Comput2004，150，： | 1 |
| 13 | Modeling the transmission dynamics and control of hepatitis B virus in China显示文摘 | Lan Zou Weinian Zhang Shigui Ruan | 2009 | Journal of Theoretical Biology2009，，2： | 1 |
| 14 | Melnikov method for homoclinic bifurcation in nonlinear impact oscillators 显示文摘 | DU Zhengdong ZHANG Weinian | 2005 | Computers and Mathematics with Applications2005，50，3： | 1 |
| 15 | Weak centers and bifurcation of critical periods in reversible cubic systems显示文摘 | ZHANG Weinian HUO Xiaorong ZENG Zhenbing | 2000 | Computers&Mathematics with Applications2000，40，6： | 1 |
| 16 | Decomposition of algebraic sets and applications to weak centers of cubic systems显示文摘 | CHEN Xingwu ZHANG Weinian | 2009 | Journal of Computational and Applied Mathematics2009，232，2： | 1 |
| 17 | Also multifunctions do not like iterative roots显示文摘 | Witold Jarczyk Weinian Zhang | 2007 | Elemente Math2007，62，： | 1 |
| 18 | Local bifurcations of critical periods for cubic Liénard equations with cubic damping显示文摘 | ZOU Lan CHEN Xingwu ZHANG Weinian | 2008 | Journal of Computational and Applied Mathematics2008，222，2： | 1 |
| 19 | Analytic solutions of an iterative functional differential equation which may violate the diophantine candition显示文摘 | XU Bing ZHANG Weinian SI jianguo | 2004 | Journal of Difference Equations and Applications2004，10，2： | 1 |
| 20 | Analytic solutions of an iterative functional differential equation显示文摘 | SI Jianguo ZHANG Weinian Gwang-Hui Kim | 2004 | Applied Mathematics and Computation2004，150，： | 1 |
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