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Acta Mathematicae Applicatae Sinica 1998 Vol.21

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CONVERGENCE OF THE CLIPPED SAMPLE AUTOCORRELATION AND AUTOCOVARIANCE
HE SHUYUAN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998002
Abstract （1070）      PDF（pc） （254KB）（23）       Save
Statistics composed of clipped binary sequences are not sensitive to the existence of outliers.We estimate the autocorrelation and autocovariance functions of a linear Gaussian stationary sequence by the clipped binary series, and show the law o
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DYNAMICS IN COUPLED SYSTEMS OF JOSEPHSON JUNCTIONS WITHOUT CAPACITY EFFECT
ZHOU SHENGFAN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998001
Abstract （1954）      PDF（pc） （254KB）（294）       Save
In this paper, we analyze the structures of the global attractors of the coupled systems of continuous Josephson junctions and the two-point Josephson junction without capacity effect.We prove that each system has a unique one-dimensional invaria
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REMARKS ON THE GLOBAL ATTRACTORS OF SEMIGROUPS HAVING A LYAPUNOV FUNCTIONAL
GUO BOLING; GAO HONGJUN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998003
Abstract （1818）      PDF（pc） （254KB）（206）       Save
Inthispaper,wegiveanewapproachtotheekistenceoftheglobalattractorsforsomeabstractsemigroupswhichisofh
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广义对角占优阵的Gauss型判别法及其应用
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998009
Abstract （389）      PDF（pc） （254KB）（22）       Save
1引言广义对角占优阵是一类范围较广的特殊矩阵，它在迭代法的收敛性山，控制系统的稳定性［‘］等众多的领
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A FREE BOUNDARY PROBLEM IN AXISYMMETRIC FILTRATION WITH TWO FLUIDS
WEN GUOCHUN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998006
Abstract （1302）      PDF（pc） （254KB）（30）       Save
This paper deals with a free boundary problem in axisymmetric filtration withtwo fluids, where the supper level in the filtration domain is the oil and lower level is thewater, this is a mathematical model of oil extraction and water flooding si
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THE HYPERBOLIC PROPERLIES OF A STRONGLY DEGENERATE PARABOLIC EQUATION
CHENG FUXIA
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998005
Abstract （1006）      PDF（pc） （254KB）（20）       Save
M. Bertsch & R. Dal Passo[1] studied the Cauchy problem of equation at=(where,ψ is a strictly increasing function.Theydiscussed the similarity of the solution of this problem with that of the equation if=In their paper, the condition is essenti
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GLOBAL STOCHASTIC OPTIMIZATION UNDER CORRELATED MEASUREMENT NOISE
WANG GUANJUN; CHEN HANFU
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998004
Abstract （2049）      PDF（pc） （254KB）（216）       Save
The paper considers the problem of searching global extremal of a functionwhich can be observed with correlated noise. Random search type algorithms are definedand shown to be convergent a.s. to the set of global extrema of the function.
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ON THE SUPREMUM OF WEIGHTED PSEUDOINVERSES
WEI MUSHENG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998010
Abstract （2055）      PDF（pc） （254KB）（155）       Save
Let P be a set of semi-positive definite real symmetric matrices, satisfying We derive several equivalent formulas of this supremumand discuss some special cases. This problem is important in studying mathematical programming and constrained opt
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RESONANT BIFURCATIONS OF PERIODIC SOLUTIONS OF HIGHER DIMENSIONAL SYSTEMS
HAN MAOAN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998011
Abstract （1004）      PDF（pc） （254KB）（44）       Save
By using Liapunov-Schmidt's method, a bifurcating function is obtained whichdetermines the number of periodic solutions of higher dimensional autonomous systemsunder resonant cases. By computing the main terms and analyzing the zeros of bifurcat
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THE WELDING PROBLEM OF AN ANISOTROPIC INFINITE HALF-PLANE AND AN ISOTROPIC STRIP
HUANG MINHAI
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998007
Abstract （2197）      PDF（pc） （254KB）（237）       Save
in this paper, the welding problem of an anisotropic infinite half-plane andan isotropic strip is considered. By means of plane elastic complex variable method andtheory of boundary value problems for analytic functions and integral equation. The
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A NEW VARIATIONAL FORMULATION OF TWO HIGHER NONCONFORMING PLATE ELEMENTS
WANG HUMIN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998008
Abstract （2086）      PDF（pc） （254KB）（216）       Save
it is well known that we require that the function f∈L2(Ω) in solving biharmonicequation using incomplete biquadratic nonconforming plate element and the complete cubic nonconforming plate element which are not co nonconforming elements. To lo
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ASYMPTOTIC ANALYSIS OF GLOBAL SOLUTION FOR SEMILINEAR PARABOLIC EQUATION WITH SINGULAR TERM
DAI QIUYI; GU YONGGENG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998015
Abstract （2257）      PDF（pc） （254KB）（320）       Save
In this paper, we investigate initial-boundary value problem for a class ofparabolic equations with singular term. For any positive integer N, a uniformly approximate computation formula of (N + 1) th-order of the global solution to above proble
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THE BLOWING-UP OF THE SOLUTIONS TO QUASILINEAR PARABOLIC DIFFERENTIAL EQUATIONS ON SEMI-INFINITE SPACE
JIANG CHENGSHUN; XIE CHUNHONG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998016
Abstract （2219）      PDF（pc） （254KB）（230）       Save
This paper is concerned with the blowing-up problem of the initial boundaryvalue problem for quasilinear parabolic equationHere D Rn is a Bounded or unbounded domain. With the assistance of Green's function,the authors obtain the conditions of
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EXISTENCE OF SINGULAR POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS
QI JIANGANG;ZHUANG WAN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998014
Abstract （1923）      PDF（pc） （254KB）（149）       Save
1.IntroductionInthispapertweconsiderthesingularpositivesolutionsof△u+f(u)=0(1.1)inRn(n>2),where△is
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ARBORICITY AND COMPLEMENT OF A GRAPH
WANG JIANFANG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998013
Abstract （2107）      PDF（pc） （254KB）（268）       Save
The arboricity of graph G=(V,E), denoted by a(G), is defined as a(G)=min{n | E can be partitioned into n subsets E1,E2,...,En, such that each subset spans a subgraph of G so as to be a forest}.In this paper the following results have been obtain
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ON CONNECTED FACTORS IN K_(1,3)-FREE GRAPHS
LI GUOJUN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998024
Abstract （1050）      PDF（pc） （254KB）（25）       Save
A graph is said to be K1,3-free if it contains no K1,3 as an induced subgraph. It is shown in this paper that every 2-connected K1,3-free graph contains a connected [2,3]-factor. We also obtain that every connected K1,3-free graph has a spanning
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CHARACTERISTICS-FINITE ELEMENT METHODS FOR SEAWATER INTRUSION NUMERICAL SIMULATION AND THEORETICAL ANALYSIS
YUAN YIRANG ;LIANG DONG; RUI HONGXING
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998012
Abstract （1069）      PDF（pc） （254KB）（30）       Save
Both numerical simulation and theoretical analysis of seawater intrusion in coastal regions are of great theoretical importance in environmental sciences. The mathematical model can be described as a problem of the initial boundary values for a
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ACTA MATHEMATICAE APPLICATAE SINICA(English Series)
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998026
Abstract （303）      PDF（pc） （254KB）（20）       Save
DYNAMICSINCOUPLEDSYSTEMSOFJOSEPHSONJUNCTIONSWITHOUTCAPACITYEFFECT~ZHOUSHENGFAN,ZHUSHUInthispaper)wea
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FOUR COLOURINGS OF MAXIMUM OUTER PLANAR GRAPHS UNDER BOUNDARV CONDITIONS
XIE LITONG; LIU GUIZHEN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998025
Abstract （1073）      PDF（pc） （254KB）（22）       Save
in this paper the four colourings of maximum outer planar graphs are studiedby their diagonal transformations and the concept of a characteristic vector is given. It isproved that for any two maximum outer planar graphs with a common boundary ci
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ON INDEPENDENCE COMPLEXES OF HIGH-DEGREE GRAPHS
XU BAOGANG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998022
Abstract （1133）      PDF（pc） （254KB）（22）       Save
Given a graph G, the independent sets of G form the simplexes of an abstractcomplex I(G), which is called the independence complex of G. We say that graph G isindependent homologous to graph H if I(G) is homologous to I(H). We use J(G) andJ3K2(G
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ON UNIQUENESS OF 2.5-D BORN VELOCITY INVERSION
LIU JIJUN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998023
Abstract （1348）      PDF（pc） （254KB）（29）       Save
Consider a linearized velocity inversion in 2.5-D inhomogeneous medium. FOrpoint-sources and the correspondent responses measured on the earth's surface, we get anintegral equation satisfied by the 2-D wave velocity perturbation, which is a prob
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SOME RESULTS ON CLT FOR NONSTAIONARY NA SEQUENCES
SU CHUN; CHI XIANG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998017
Abstract （1009）      PDF（pc） （254KB）（21）       Save
Two central limit theorems (CLTs) for nonstationary identically distributed NA(Negatively Associated) sequence are obtained. The early papers on CLTs for NA sequencealways assume that the sequence is strictly stationary. However, this is not alw
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SEMI-EMPIRICAL LIKELIHOOD RATIO TESTS FOR THE DIFFERENCE OF THE TWO SAMPLE QUANTILES
QIN YONGSONG; ZHAO LINCHENG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998018
Abstract （1067）      PDF（pc） （254KB）（26）       Save
Let x1,..., xn, y1,... , ym be independent and suppose that the {xi} are identically distributed as unknown F(. ) and the {yi} are identically distributed as Gθ(' ), whereGθ(' ) is of known form with unknown parameter θ. In this paper, we com
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BENSON PROPER EFFICIENCY IN VECTOR OPTIMIZATION WITH SET-VALUED MAPS
LI ZHONGFEI
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998019
Abstract （2272）      PDF（pc） （254KB）（189）       Save
in this paper, we first extend the concept of cone-subconvexlikeness of singlevalued maps to set-valued maps and present several equivalent characterizations and analternative theorem for cone-subconvexlike set-valued maps. The concept and these
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p-TYPE SPACE AND CONVERGENCE RATES OF TAIL PROBABILITIES FOR SUMS OF B-VALUED RANDOM ELEMENTS
LIANG HANYING
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998020
Abstract （1213）      PDF（pc） （254KB）（22）       Save
We discuss in this paper convergence rates of tail probabilties for partial sumsand randomly indexed partial sums of B-valued random elements. By the equivalent property of strong and weak law of large numbers of B-valued independent random elem
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ON THE FINITE TERMINATION OF THE DAMPED-NEWTON ALGORITHM FOR LINEAR COMPLEMENTARITY PROBLEM
SUN DEFENG; HAN JIYE; ZHAO YUNBIN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998021
Abstract （2298）      PDF（pc） （254KB）（272）       Save
in [2], Harker and Pang proposed the following open question: whether or notthe damped--Newton algorithm for solving the linear complementarity problems is finite if itconverges. This paper gives an affirmative answer to this question. Moreover,
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BEHAVIOR OF SOLUTIONS AND BIFURCATION OF DIFFERENTIAL-ITERATIVE EQUATIONS
GE WEIGAO; MO YUREN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998035
Abstract （1131）      PDF（pc） （254KB）（19）       Save
This paper deals with the behavior of solutions of the differential-iterative equation x = f(x, x(x)). The value of bifurcation of the equation when f(1, x(x)) = (x2 --μ)x(x)is studied and complete results are given to correct the errors in [5]
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ON THE INDEXES OF CONVERGENCE OF LINE DIGRAPHS
ZUO GUANGJI
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998036
Abstract （1286）      PDF（pc） （254KB）（27）       Save
Let G be a digraph, LG denote the line digraph of G. The relation between theirindexes of convergence and periods have been got: k(G) -- 1≤ k(LG) ≤ k(G) + 1, P(LG)= P(G). Particularly, if G is a primitive digraph, then k(LG) = k(G) + 1.
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PERMANENCE OF A NONAUTOMONOUSPOPULATION MODEL
WANG WENDI
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998031
Abstract （994）      PDF（pc） （254KB）（20）       Save
A nonautomonous predator-prey system is studied in this paper. A logistic growth rate of the prey and a functional response of the predator are assumed. Throughout this paper, the main interest is in ther results yielding the threshold between t
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THE SIMPLE BLOCK ITERATIVE ALGORITHM OF AN EXTENDED ENTROPY MODEL AND ITS CONVERGENCE
TAN ZEGUANG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998027
Abstract （1934）      PDF（pc） （254KB）（277）       Save
The paper discusses an extended entropy model for the prediction of trip amount and provides a method to solve it, called the simple block iterative algorithm, from the point of view of the system of nonlinear equations. Because the algorithm gi
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A 17/10-APPROXIMATION ALGORITHM FOR k-BOUNDED SPACE ON-LINE VARIABLE-SIZED BIN PACKING
ZHANG GUOCHUAN
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998028
Abstract （929）      PDF（pc） （254KB）（21）       Save
A version of the k-bounded space on-line bin packing problem, where a fixed collection of bin sizes is allowed, is considered. By packing large items into appropriate bins and closing appropriate bins, we can derive an algorithm with worst-case p
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GLOBAL ATTRACTIVITY IN A DISCRETEDELAY LOGISTIC MODEL
YU JIANSHE
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998032
Abstract （1038）      PDF（pc） （254KB）（34）       Save
Consider the discrete delay logistic model where α∈(1,∞), β(0,∞), and k∈ {0,1,2,…}. We obtain new sufficient conditions for the positive equilibrium (α-1)/β of (1) to be a global attractor.
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APPROXIMATE CONTROLLABILITYOF INFINITE DIMENSIONALBILINEAR SYSTEMS
ZHANG SHENGHAI
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998033
Abstract （1050）      PDF（pc） （254KB）（20）       Save
The aim of this paper is to study approximate controllability for bilinear systems in the general case. The existence and uniqueness of solutions to bilinear evolution equations are obtained. The paper shows that the approximate controllability
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STABILITY AND ALMOST PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
YUAN RONG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998034
Abstract （1072）      PDF（pc） （254KB）（20）       Save
For the operator D(t), we prove the inherence theorem, Theorem 2. Basing on it, we study the stability with respect to the hull for neutral functional differential equations with infinite delay. We prove that if periodic Eq.(1) possesses the sol
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A FREE BOUNDARY PROBLEM OF TYPE-I SUPERCONDUCTIVITY
YI FAHUAI
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998029
Abstract （1033）      PDF（pc） （254KB）（20）       Save
In this paper we consider a free boundary problem of superconductivity. Under isothermal conditions, a superconductor material of Type I will develop two phases separated by a sharp interfaCe Γ(t). In the normal conducting phase the magnetic fi
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A FORMULA FOR ENERGY FUNCTIONALS
YING JIANCANG
Acta Mathematicae Applicatae Sinica    1998, 21 (1): 0-0.   DOI: 10.12387/C1998030
Abstract （940）      PDF（pc） （254KB）（20）       Save
A formula for energy functionals of a Markov process and its subprocess will be given in this paper. This generalizes a formula in [1]. We also use this formula to get some important consequences.
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HIGH ACCURACY HYBRID FORMULA FOR y"= f(x,y)
XIANG KAILI ￡?LIU JIANXING
Acta Mathematicae Applicatae Sinica    1998, 21 (2): 0-0.   DOI: 10.12387/C1998066
Abstract （1842）      PDF（pc） （254KB）（250）       Save
1.AFamilyofSixthOrderMethodsM6(a,afl)withPhaseLagOrderSixorEightThegeneralsymmetric,tow--stepsixthor
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ESTIMATES FOR DISCRETE SPECTRUM OF A CERTAIN SYSTEM
CHEN ZUCHI;QIAN CHUNLIN
Acta Mathematicae Applicatae Sinica    1998, 21 (2): 0-0.   DOI: 10.12387/C1998067
Abstract （1666）      PDF（pc） （254KB）（279）       Save
1.IntroductionCanyouheartheshapeofadrum?ProfessorProtteraskedinhisrevisitedpaperrll'Usually,thiskind
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HIGH ACCURACY ANALYSIS FOR INTEGRODIFFERENTIAL EQUATIONS
LIN QUN;ZHANG SHUHUA;YAN NINGNING
Acta Mathematicae Applicatae Sinica    1998, 21 (2): 0-0.   DOI: 10.12387/C1998068
Abstract （2088）      PDF（pc） （254KB）（262）       Save
In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of the parabolic equations. Theglobal extrapolation and the correction approximations of thir
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GLOBAL PERIODIC ATTRACTOR OF A THIRD-ORDER PHASE-LOCKED LOOP
LIN YUANQU
Acta Mathematicae Applicatae Sinica    1998, 21 (2): 0-0.   DOI: 10.12387/C1998069
Abstract （1890）      PDF（pc） （254KB）（204）       Save
In this paper, the existence of a global periodic attractor for a third-order phase-lockedloop with tangential phase detector characteristic and frequency modulation input is provedunder some condition on the parameters.
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