INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES

The aim of this paper is to study the conditions by which a P-prime submodule can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given.     

OSCILLATION OF SOLUTIONS OF THE SYSTEMS OF QUASILINEAR HYPERBOLIC EQUATION UNDER NONLINEAR BOUNDARY CONDITION

Sufficient conditions are obtained for the oscillation of solutions of the systems of quasilinear hyperbolic differential equation with deviating arguments under nonlinear boundary condition.     

THE UNIQUENESS OF LIMIT CYCLE OF THE POLYNOMIAL LIENARD SYSTEM OF DEGREE 4

In this paper, the uniqueness of limit cycle of a special polynomial Lienard system is discussed and some results under certain conditions are given.     

ON THE GROWTH OF SOLUTIONS OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION

In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions.     

OSCILLATION OF A CLASS OF HILLE EQUATION

This paper studies a class of Hille equation. A formula for solutions of a class of Hille equation is given. Under some suitable conditions the oscillation and nonoscillation of a class of Hille equation are established. Our results generalize the known Hille's ones.     

NONEXISTENCE OF POSITIVE SOLUTION OF A CLASS OF NONLINEAR DIFFERENCE EQUATION

In this paper, a class of nonlinear difference equations are investigated. The sufficient conditions for the nonexistence of positive solutions are obtained. The results in this paper improve ones in [2].     

OSCILLATION OF SOLUTIONS FOR A CLASS OF UNBOUNDED DELAY DIFFERENTIAL EQUATIONS

In this paper we present infinite-integral conditions for the oscillation of a class of unbounded delay differential equations.     

RATES OF A.S.CONVERGENCE OF THE ESTIMATION OF ERROR VARIANCE IN LINEAR MODELS

Under appropriate conditions we obtain the best rates of a.s.convergence of estimates5_n~2 of error variance σ~2 and establish the law of iterated logarithm     

EQUICONTINUITY OF TRIANGULAR MAPS

In this paper we study the equicontinuity of a triangular map of the square,and obtain some equivalent conditions for it.     

OSCILLATIONS OF A CLASS OF HIGH-ORDER LINEAR ODE WITH IMPULSES

Oscillation of solutions for a class of nth-order linear differential equation with impulses are considered and some sufficient conditions for oscillation of solutions are obtained, which improve and popularize some results in parts of the relative references.     

时空离散FitzHugh-Nagumo方程解的渐近行为

本文用有限差分格式对FitzHugh-Nagumo方程的时间变量和空间变量同时离散，给出了离散模型整体吸引子存在的条件。     

THE EXISTENCE AND UNIQUENESS OF THE SOLUTIONS OF DAES

1Intr0ducti0nDifferential-algebraicequations(DAEs)areveryusefu1inwidefields(cf.[1]).Bydifferential-algebraicequations,wemeanthoseequati0nswhosepartsof"derivative"cann0tbeexpressedexplicitly.Forexample,weconsidertheimplicitdifferentialequationwithmappingFsm00thssufficient1y.Itisusuallyreferredt0adifferential-algebraicequation(DAE)whentherank0fD.F(t,x,p)islessthann,wheretheremightbesomepurea1gebraic,whichwecallc0nstraintequations.TheDAEs,inparticular,theexistenceanduniquenessofitssolutions…     

两种群竞争系统持续生存的条件

本文研究两种群竞争系统持续存在性和全局渐近稳定性。新近文〔２〕保持了文〔１〕的条件而推广了方程，文〔３〕减弱了文〔１〕的条件。我们则改进文〔１〕的条件，但与文〔３〕中定理１的条件互不包含，且有新意。     

EXISTENCE OF WEAK SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES

0 IntroductionRecently, the study of ordinary differential equations in a Banach spacehas been developed extensively by using the strong topology, see [2],13],[4]. Atpresent, however, there is no reference or paper which systematically studiesweak solutions of the Cauchy problem of ordinary differential equation in theweak topology. In references [l],15],[7] and [8], several results of weak solutionsare proved. In this paper, we shall give the other results of weak solutions,some of which are…     

非线性分数阶微分方程解的延拓

本文研究了分数阶微分方程(1.1)解的延拓问题.利用解的表达式给出方程解的可延拓条件,在此基础上研究了解可以延拓至何种程度的有关结果,且探讨了解的存在区间为[to,+∞)的条件.     

FRACTAL PROPERTIES OF POLAR SETS OF RANDOM STRING PROCESSES

This paper studies fractal properties of polar sets for random string processes. We give upper and lower bounds of the hitting probabilities on compact sets and prove some sufficient conditions and necessary conditions for compact sets to be polar for the random string process. Moreover, we also determine the smallest Hausdorff dimensions of non-polar sets by constructing a Cantor-type set to connect its Hausdorff dimension and capacity.     

非线性积分微分方程组解的振动性

本文给出了一类积分微分方程组存在和不存在正解的若干充分条件．     

PERIODIC SOLUTIONS OF A CLASS OF EVEN ORDER DIFFERENTIAL EQUATIONS

1Introduction1.1Theal1TIof'1.hispa;pel'istopl'ovidesufficientcon(lit,iolls1'or1.lieexisted(feofperiodicsolutjoilsof1,he21't,horderdift'erentitxleqllal,ionandthellorl--cxistcnceoflloTI--ti}ivialperio相似文献   

OSCILLATION AND EXISTENCE OF POSITIVESOLUTIONS OF DIFFERENTIAL EQUATIONSWITH POSITIVE, NEGATIVE COEFFICIENTS

This paper is concerned with the existence of eventually positive solutions and oscillatory solutions of first-order neutral differential equation with positive and negative coefficients. The "sharp" conditions of oscillation for the equation have been obtained, i.e., the conditions are sufficient and necessary when all of the coefficients are constants. These conditions are distinguished from the previous criteria in the literatures, and also weaker than those existing results.