期刊文献+
共找到10篇文章
< 1 >
每页显示 20 50 100
平方数x(x+m)的整数解
1
作者 刘鹏 《楚雄师范学院学报》 1995年第3期26-33,共8页
关键词 整数 平方数 商高方程 偶数 适合条件 商高定理 奇整数 定理2 定理1
下载PDF
一类p规范型非线性系统自适应有限时间镇定 被引量:2
2
作者 胡利耀 李小华 《安徽大学学报(自然科学版)》 CAS 北大核心 2019年第4期60-74,共15页
研究一类虚拟控制系数未知且带有不确定参数的p规范型非线性系统自适应有限时间镇定问题.结合自适应技术、加幂积分技术及有限时间Lyapunov稳定理论,设计该类系统的自适应有限时间控制器,使闭环系统有限时间稳定.在已有的未考虑不确定... 研究一类虚拟控制系数未知且带有不确定参数的p规范型非线性系统自适应有限时间镇定问题.结合自适应技术、加幂积分技术及有限时间Lyapunov稳定理论,设计该类系统的自适应有限时间控制器,使闭环系统有限时间稳定.在已有的未考虑不确定参数的p规范型非线性系统中加入一个不确定参数,考虑系统的幂p为奇整数之比的形式.设计的控制器能够调整系统的停息时间.仿真结果表明该设计方案具有有效性。 展开更多
关键词 P 规范型 非线性系统 奇整数之比 自适应控制 有限时间镇定
下载PDF
一类二阶微分方程解的振荡性,有界性和单调性(英文)
3
作者 张晓霞 《上饶师范学院学报》 2003年第3期21-26,共6页
本文阐述了以下二阶拟线性微分方程的解的振荡性 ,有界性和单调性的一些新结果。(p(t) (y′(t) ) α)′ =q(t)yβ(t) +r(t) ,t t0其中 ,t0 是非负实数 ,当t t0 时 ,p(t)是连续的正实函数 ,r(t)是连续的实函数 ,q(t)是非负的连续的实函数... 本文阐述了以下二阶拟线性微分方程的解的振荡性 ,有界性和单调性的一些新结果。(p(t) (y′(t) ) α)′ =q(t)yβ(t) +r(t) ,t t0其中 ,t0 是非负实数 ,当t t0 时 ,p(t)是连续的正实函数 ,r(t)是连续的实函数 ,q(t)是非负的连续的实函数且q(t) 0 ,α和 β都是正奇整数的商数。 展开更多
关键词 二阶微分方程 振荡性 有界性 单调性 奇整数 连学函数 二阶拟线性微分方程 方程解
下载PDF
Odd and Even Factors with Given Properties
4
作者 陈赐平 Mikio Kano 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第1期65-71,共7页
Let G be a graph, and g and f be integer valued functions defined on V(G) which satisfy g(x)≤f(x) and g(x)≡f(x)(mod 2) for all x∈V(G). Then a spanning subgraph F of G is called a {g,g+2,…,f} -factor if deg_F(x)∈{... Let G be a graph, and g and f be integer valued functions defined on V(G) which satisfy g(x)≤f(x) and g(x)≡f(x)(mod 2) for all x∈V(G). Then a spanning subgraph F of G is called a {g,g+2,…,f} -factor if deg_F(x)∈{g(x),g(x)+2,…,f(x)} for all x∈V(G), when g(x)=1 for all x∈V(G), such a factor is called (1,f) -odd-factor. We give necessary and sufficient conditions for a graph G to have a {g,g+2,…,f} -factor and a (1,f) -odd-factor which contains an arbitrarily given edge of G, from that we derive some interesting results. 展开更多
关键词 (g g+2 f-factor (1 f)-odd-factor f-odd-component f-even-component
下载PDF
On the Diophantine Equation y^2= px(x^2+ 2)
5
作者 WANG Xiao-ying 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期499-503,共5页
For any fixed odd prime p, let N(p) denote the number of positive integer solutions (x, y) of the equation y^2 = px(x^2 + 2). In this paper, using some properties of binary quartic Diophantine equations, we pro... For any fixed odd prime p, let N(p) denote the number of positive integer solutions (x, y) of the equation y^2 = px(x^2 + 2). In this paper, using some properties of binary quartic Diophantine equations, we prove that ifp ≡ 5 or 7(mod 8), then N(p) = 0; ifp ≡ 1(mod 8), then N(p) 〈 1; if p〉 3 andp ≡ 3(rood 8), then N(p) ≤ 2. 展开更多
关键词 cubic and quartic Diophantine equation number of solutions upper bound 2000 MR Subject Classification: 11D25
下载PDF
NOTES ON GLAISHER'S CONGRUENCES 被引量:3
6
作者 HONGSHAOFANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第1期33-38,共6页
Let p be an odd prime and let n ≥1, k ≥0 and r be integers. Denote by B_k the kth Bernoulli number. It is proved that (i) If r ≥1 is odd and suppose p ≥r + 4, then (ii)If r ≥2 is even and suppose p ≥ r + 3, then... Let p be an odd prime and let n ≥1, k ≥0 and r be integers. Denote by B_k the kth Bernoulli number. It is proved that (i) If r ≥1 is odd and suppose p ≥r + 4, then (ii)If r ≥2 is even and suppose p ≥ r + 3, then (modp^2). (iii)-(2n+1)p (modp^2). This result generalizes the Glaisher’s congruence. As a corollary, a generalization of the Wolstenholme’s theorem is obtained. 展开更多
关键词 Glaisher's congruences kth Bernoulli number Teichmuller character p-adic L function
原文传递
On the differential uniformities of functions over finite fields 被引量:4
7
作者 QU LongJiang LI Chao +1 位作者 DAI QingPing KONG ZhiYin 《Science China Mathematics》 SCIE 2013年第7期1477-1484,共8页
In this paper, the possible value of the differential uniformity of a function over finite fields is discussed. It is proved that, the differential uniformity of a function over Fq can be any even integer between 2 an... In this paper, the possible value of the differential uniformity of a function over finite fields is discussed. It is proved that, the differential uniformity of a function over Fq can be any even integer between 2 and q when q is even; and it can be any integer between 1 and q except q-1 when q is odd. Moreover, for any possible differential uniformity t, an explicit construction of a differentially t-uniform function is given. 展开更多
关键词 differential uniformity FUNCTIONS finite field explicit construction
原文传递
Chen's Conjecture and Its Generalization 被引量:1
8
作者 Xuegong SUN Lixia DAI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第6期957-962,共6页
Let l1,l2,…,lg be even integers and x be a sufficiently large number.In this paper,the authors prove that the number of positive odd integers k≤x such that(k+l1)2,(k+l2)2,…,(k+lg)2 can not be expressed as 2n+... Let l1,l2,…,lg be even integers and x be a sufficiently large number.In this paper,the authors prove that the number of positive odd integers k≤x such that(k+l1)2,(k+l2)2,…,(k+lg)2 can not be expressed as 2n+pαis at least c(g)x,where p is an odd prime and the constant c(g)depends only on g. 展开更多
关键词 Chen's conjecture Powers of 2 PRIMES Selberg's sieve method
原文传递
Hilbert genus fields of biquadratic fields 被引量:1
9
作者 OUYANG Yi ZHANG Zhe 《Science China Mathematics》 SCIE 2014年第10期2111-2122,共12页
The Hilbert genus field of the real biquadratic field K=Q(√δ,√d)is described by Yue(2010)and Bae and Yue(2011)explicitly in the case&=2 or p with p=1 mod 4 a prime and d a squarefree positive integer.In this... The Hilbert genus field of the real biquadratic field K=Q(√δ,√d)is described by Yue(2010)and Bae and Yue(2011)explicitly in the case&=2 or p with p=1 mod 4 a prime and d a squarefree positive integer.In this article,we describe explicitly the Hilbert genus field of the imaginary biquadratic field K=Q(√δ,√d),whereδ=-1,-2 or-p with p=3 mod 4 a prime and d any squarefree integer.This completes the explicit construction of the Hilbert genus field of any biquadratic field which contains an imaginary quadratic subfield of odd class number. 展开更多
关键词 class group Hilbert symbol Hilbert genus field
原文传递
On the elliptic curve y^2=x^3-2r Dx and factoring integers
10
作者 LI XiuMei ZENG JinXiang 《Science China Mathematics》 SCIE 2014年第4期719-728,共10页
Let D=pq be the product of two distinct odd primes.Assuming the parity conjecture,we construct infinitely many r≥1 such that E2rD:y2=x3-2rDx has conjectural rank one and vp(x([k]Q))≠vq(x([k]Q))for any odd integer k,... Let D=pq be the product of two distinct odd primes.Assuming the parity conjecture,we construct infinitely many r≥1 such that E2rD:y2=x3-2rDx has conjectural rank one and vp(x([k]Q))≠vq(x([k]Q))for any odd integer k,where Q is the generator of the free part of E(Q).Furthermore,under the generalized Riemann hypothesis,the minimal value of r is less than c log4 D for some absolute constant c.As a corollary,one can factor D by computing the generator Q. 展开更多
关键词 elliptic curve integer factoring Selmer group
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部