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1.
In this paper, we study the uniqueness theorem of meromorphic functions concerning differential polynomials, and obtain two theorems, which improve and generalize the related results of Fang, S.S. Bhoosnurmath and R.S. Dyavanal and Xiao-Yu Zhang and Wei-Chuan Lin. 相似文献
2.
Jun-Fan Chen Xiao-Yu Zhang Wei-Chuan Lin Sheng-Jiang Chen 《Computers & Mathematics with Applications》2008,56(12):3000-3014
Using Nevanlinna’s value distribution theory, we study the uniqueness of entire functions that share only one value and prove some theorems which are related to one famous problem of Hayman [W.K. Hayman, Research Problems in Functions Theory, Athlone Press, London, 1967]. 相似文献
3.
In this paper, we study with a weighted sharing method the uniqueness problem of [fn(z)](k) and [gn(z)](k) sharing one value and obtain some results which extend the theorems given by M. Fang, S. Bhoosnurmath and S. Dyavanal et al. 相似文献
4.
Zhi-Gang Wang Yong Sun Zhi-Hua Zhang 《Computers & Mathematics with Applications》2009,58(7):1408-1417
In this paper, we introduce and investigate two new classes of meromorphic multivalent functions. Such results as subordination properties, coefficient inequalities, convolution properties and integral representations are proved. Several sufficient conditions for meromorphic multivalent starlikeness and convexity are also derived. 相似文献
5.
布尔函数和伪布尔函数在不同的领域有着广泛的应用,利用多项式表示有利于刻划它们的一些特征属性。论文首先在已知输入都能得到输出的条件下给出了布尔函数多项式表示的快速实现算法,该算法仅用到模2加运算,运算次数少,具有简洁、易于编程实现、准确而快速的特点,而且该算法很易推广为伪布尔函数多项式表示的快速实现算法,只需把模2加运算换成实数加运算即可。接着通过比较说明了伪布尔函数多项式表示的快速实现算法,同时指出任何伪布尔函数都能通过多项式形式表示出来。最后通过实例进一步验证了算法的正确性。 相似文献
6.
针对差分进化算法进化后期收敛缓慢和稳定性不强的缺陷,将BFGS算法插入差分进化算法当中,提出了一种BFGS差分进化算法,用来求解非线性方程组。通过5个非线性方程组和一个工程实例的实验,说明:算法收敛精度较高、收敛速度较快、鲁棒性强、收敛成功率高,是一种较好的解决非线性方程组的方法。 相似文献
7.
The authors introduce and investigate various properties of a general class;,which unifies and extends several (known or new) subclasses of meromorphically multivalent functions. The properties and characteristics of this general class, which are presented here, include growth and distortion theorems; they also involve Hadamard products (or convolution) of functions belonging to the class Uk[p,α,β,A,B]. 相似文献
Uk[p,a,β,A,B]
p, k ε N {1, 2, 3,…,}; 0 α < p; β 0
−1 A < B 1; 0 < B 1)
8.
This article discusses the exponential stability of nonlinear stochastic delay differential systems (SDDSs) whose coefficients obey the polynomial growth condition. Delay-dependent criteria on almost sure exponential stability and pth moment exponential stability of such SDDSs have been established. By applying some novel techniques, our criteria work for many SDDSs including some cases in which the ?V operator has a complicated form, which seemingly prevents the existing results from being directly used. The range of order of moment exponential stability and the decay rate can be estimated through the coefficients of the system. 相似文献
9.
A. N. Alekseichuck 《Cybernetics and Systems Analysis》2000,36(3):468-471
Relationships for the maximum of a minimal number of summands among all canonical polarized polynomials of a Boolean function
are obtained.
Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 179–183, May–June, 2000. 相似文献
10.
《国际计算机数学杂志》2012,89(12):925-937
The use of two constructed polynomial spline functions to approximate the solution of a system of first-order delay differential equations is described. The first spline function is a polynomial with an undetermined constant coefficient in the last term. The other has a polynomial spline form. The error analysis and stability of the second function are theoretically investigated and a test example is given. A comparison of the two forms is carried out to illustrate the pertinent features of the proposed techniques. 相似文献
11.
12.
《国际计算机数学杂志》2012,89(7):1167-1181
This paper presents the use of spline functions of polynomial form to approximate the solution of system of second order delay differential equations. The error analysis and stability of the method are theoretically investigated. A numerical example is given to illustrate the applicability, accuracy and stability of the proposed method. 相似文献
13.
Bing Wang Haibo Ji Jin Zhu 《International Journal of Control, Automation and Systems》2009,7(1):41-48
This paper investigates the problem of global robust stabilization for a wide class of nonlinear systems, called polynomial
lower-triangular form (pLTF), which expands LTF to a more general case. The aim is explicitly constructing the smooth controller
for the class of systems with static uncertainties, by adding and modifying a power integrator in a recursive manner. The
pLTF relaxes the restrictions on the structure of the normal LTF and enlarges the family of systems that are stabilizable.
Examples are also provided to show the practical usage of this class of systems and the effectiveness of the design method.
Recommended by Editorial Board member Hyungbo Shim under the direction of Editor Jae Weon Choi.
Bing Wang received the B.S. degree from the Huazhong University of Science and Technology, and the Ph.D. degree from the University
of Science and Technology of China, in 1998 and 2006, respectively. He is currently working in College of Electrical Engineering,
Hohai University. His research interests include robust control, nonlinear control and power systems.
Haibo Ji received the B.S. and Ph.D. degrees in Mechanical Engineering from ZheJiang University and Beijing University in 1984 and
1990 respectively. He is currently a Professor in the Dept. of Automation, USTC. His research interests include nonlinear
control and adaptive control.
Jin Zhu received the B.S. and Ph.D. degrees in Control Science and Engineering from University of Science & Technology of Chinain
2001 and 2006 respectively. He is currently a Post-doc in Han-Yang University, Korea. His research interests include Markovian
jump systems and nonlinear control. 相似文献
14.
Isabel Marrero 《Computers & Mathematics with Applications》2011,62(8):3027-3036
For 0≤μ≤λ, 0<α≤1, 1/(p+1)<τ≤1, m∈N0=N∪{0} and p∈N, a new class of meromorphic p-valent functions defined by means of the differential operator is introduced and systematically studied. Membership in this class is characterized through coefficient estimates. Distortion, radii of starlikeness and convexity of order , Hadamard convolution product, an integral operator, convex combinations and neighborhoods are also investigated. 相似文献
15.
This paper explores the problems of generalized center conditions and integrability of resonant infinity for a complex polynomial differential system. The method is based on converting resonant infinity into an elementary singular point by a homeomorphic transformation. The calculation of generalized singular point quantities is an effective way of finding necessary conditions for integrable systems. A new recursive algorithm for computing generalized singular point quantities at the origin of the transformed system is derived. At the same time, a necessary and sufficient condition for resonant infinity to be a generalized complex center is presented. As an application of the new recursive algorithm, the generalized center conditions for resonant infinity for a class of cubic systems are discussed. To the best of our knowledge, this is the first time that the generalized center problem has been considered for p:−q resonant infinity. 相似文献
16.
In this paper, we discuss the asymptotic stability of nonlinear stochastic delay differential systems (SDDSs) whose coefficients obey the polynomial growth condition. By applying some novel techniques, we establish some easily verifiable conditions under which such SDDSs are almost surely asymptotically stable and pth moment asymptotically stable. A nontrivial example is provided to illustrate the effectiveness of our results. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society 相似文献
17.
E. P. Ryan 《Systems & Control Letters》1988,10(2)
Within the framework of controlled differential inclusions, a stabilizing strategy is developed for a class of uncertain nonlinear dynamical systems. The strategy has a linear plus discontinuous output feedback structure with bounded adaptive scalar gain. 相似文献
18.
19.
AbstractCryptographic attacks are typically constructed by black-box methods and combinations of simpler properties, for example in [Generalised] Linear Cryptanalysis. In this article, we work with a more recent white-box algebraic-constructive methodology. Polynomial invariant attacks on a block cipher are constructed explicitly through the study of the space of Boolean polynomials which does not have a unique factorisation and solving the so-called Fundamental Equation (FE). Some recent invariant attacks are quite symmetric and exhibit some sort of clear structure, or work only when the Boolean function is degenerate. As a proof of concept, we construct an attack where a highly irregular product of seven polynomials is an invariant for any number of rounds for T-310 under certain conditions on the long term key and for any key and any IV. A key feature of our attack is that it works for any Boolean function which satisfies a specific annihilation property. We evaluate very precisely the probability that our attack works when the Boolean function is chosen uniformly at random. 相似文献
20.
Sufficient existence conditions are established for the uniform Chebyshev (minimax) approximation of a function by the sum
of a polynomial and an expression with a nonlinear parameter with the minimum absolute error and interpolation at the interval
endpoints. An algorithm for determining the parameters of such an approximation using the Remez algorithm is proposed. The
application of the iterative method to calculating the nonlinear parameter is substantiated.
Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 64–75, January–February 2009. 相似文献