摘要：This paper proves the reducibility of a class of quasiperiodic linear differential equations which are the linear small perturbations of constant coefficients linear differential equations.%本文证明了一类拟周期线性微分方程的可约化性,即具有线性小扰动的常系数线性微分方程的可约化性.
摘要：本文证明:在不大于200的正整数之间不可能存在 x4+y4+z4+w4=u4型的等式,其中x,y,z,w,u为互异正整数. 此外,本文还得到他们之间的许多有趣的等式,如 1994=1704+1454+1104+1004+804+404+324, 754=634+604+364+304+244+184+64=704+454+404+304+204,等等.%By using special properties of the quartics of intergers we get many interesting identities of them, which have not been known before.
摘要：A.M.W.Glass给出了有理数集Q上两个l-群的l-自由积的2-可迁表示.本文在作者已经得到两个l-群的l-自由积的高O-可迁表示的基础上给出自然数集N上l-群的自由积的非2可迁表示.%A.M.W. Glass has given that the freel-product of twol-groups has had the doubly transitive representation on Q[1]. Authors has obtained that the free l-product of two lgroups had highly O-transitive representation on Q[2]. In this paper, a no doubly transitive reprsenation of the free product of groups on N is given.
摘要：设R是一个环,本文定义一种整体维数lIPD(R)为 lIPD(R)=sup{pdM|M是内射左R-模},其目的是研究这种"整体"维数与其他一些整体维数的关系.%Let R be a ring. Define Lipd(R) aslIPD(R) = sup{pdM|M is a injetive left R-module}.The purpose of this paper is to investigate this global dimension.
摘要：In this paper, by introducing two parameters a and b, some generalizations of Hardy-Carleman's integeral inequality are built.%本文引入两个参数a,b,给出Hardy-Carleman积分不等式的一些新推广.
摘要：给出了一阶边值问题u＇(t)=A(t,u(t))+f(t),u(0)=u(2π)的解的二个定理.%Two theorems concerned with the solutions of the first order boundary value problems u＇ (t) =A(t,u(t) )+ f(t), u(0)=u(2x) are presented.
摘要：本文研究分担一个值的整函数的唯一性问题,证明了:设f和g是非常数整函数,k,m为正整数且k≥3,m≥7,f和g的零点重数至少为m.若Eh(1,f)=Ek(1,g＇),则f(z)=Ciecx,g(z)==C2e-cx.其中C1.C2和C为常数且满足(C1C 2)C2=-1,或f g.这个结果推广并改进了Fang and Hua[4]和Yang and Hua[5]的一些结果.
摘要：In this paper the methods of the nonegative coercive functions and the basin of attraction are used to change the problem of diffeomorphisms between Banach Spaces into disseusing the existence of nonnegative solution of the scalar differential equation.Some theorems of global diffeomorphisms between Banach Spaces are proved.The results of this paper generalise the main results of the papers [5],[7－9].[12].%本文利用非负强制函数及吸引盆的方法,将微分同胚问题转化为讨论相应纯量微分方程在[0,+∞)上存在非负解,得到了Banach空间的几个全局微分同胚定理,结论推广了文[5]、[7-9]、[12]中的一些主要定理.
摘要：In this paper we shall show that if M is a top right R-module then Spec(M) will be a Tc-space, and every irreducible closed subset will have a generic point;if M is a f.g.top right Rmodule then M is compact.In particular,we shall show that if R is a right Noetherian ring and M is a right f.g.top module,then M is a right spectral module.%在这篇文章中我们证明了:如果M是右拓扑模,则Spec(M)是T0-空间,任意既约闭集有一般点,并且若M是有限生成的,则它是紧致的T0-空间.特别地,若R是右Noether环且M为有限生成的右拓扑模时,Spec(M)构成一个谱空间,且M是谱模.
