作者机构：
Institute of Applied Mathematics, Chinese Academy of Science, Beijing, China;Department of Mathematics, Central China Normal University, Wuhan, China;[Hu] Institute of Applied Mathematics, Chinese Academy of Science, Beijing, China<&wdkj&>Department of Mathematics, Central China Normal University, Wuhan, China
关键词：
HAUSDORFF;MEASURE;packing;MEASURE;SUBORDINATOR;RANDOM;re;ordering;of;the;CANTOR;SET;Hausdorff measure;packing measure;subordinator;random re ordering of the Cantor set
摘要：
In this paper we have found a general subordinator, X, whose range up to time 1, X([0,1)), has similar structure as random re orderings of the Cantor set K(ω).X([0,1)) and K(ω) have the same exact Hausdorff measure function and the integal test of packing measure.
期刊：
Ars Combinatoria,1997年47:255-262 ISSN：0381-7032
通讯作者：
Lawrencenko, S.
作者机构：
[Lawrencenko, S; Mao, JZ] Cent China Normal Univ, Dept Math, Wuhan 430070, Peoples R China.
通讯机构：
[Lawrencenko, S.] D;Department of Mathematics, Central China Normal University, China
摘要：
We call a node of a simple graph connectivity-redundant if its removal does not diminish the connectivity. Studying the distribution of such nodes in a CKL-graph, i.e., a connected graph G of order ≥ 3 whose connectivity κ. and minimum degree δ satisfy the inequality δ ≥ (3κ - 1)/2, we obtain a best lower bound, sharp for any κ ≥ 1, for the number of connectivity-redundant nodes in G, which is κ + 1 or κ + 2 according to whether κ is odd or even, respectively. As a by-product we obtain a new proof of an old theorem of Watkins concerning node-transitive graphs.
作者机构：
[Zhao, HJ; Xuan, BJ] CENT CHINA NORMAL UNIV,DEPT MATH,WUHAN 71007,PEOPLES R CHINA.;[Zhao, HJ] CHINESE ACAD SCI,WUHAN INST MATH SCI,YOUNG SCIENTIST LAB MATH PHYS,POB 71007,WUHAN 71007,PEOPLES R CHINA.
通讯机构：
[Zhao, HJ] C;CHINESE ACAD SCI,WUHAN INST MATH SCI,YOUNG SCIENTIST LAB MATH PHYS,POB 71007,WUHAN 71007,PEOPLES R CHINA.
摘要：
This work considers the existence of the global smooth solutions of several generalized BBM-Burgers equations. First, for n ≥1, the convergence results are discussed by employing a compact imbedding theorem. Following this, when n = 1, by exploiting the modified compact framework of Yunguang Lu, a convergence result is also obtained. Finally, it is pointed out that to get the strong convergence results, the second results do not ask f to be convex. This is due to the adoption of the modified compactness results of Yunguang Lu.
期刊：
JOURNAL OF COMBINATORIAL THEORY SERIES B,1997年70(2):265-291 ISSN：0095-8956
通讯作者：
Lawrencenko, S
作者机构：
[Lawrencenko, S; Negami, S] YOKOHAMA NATL UNIV,FAC EDUC,DEPT MATH,HODOGAYA KU,YOKOHAMA,KANAGAWA 240,JAPAN.;[Lawrencenko, S] CENT CHINA NORMAL UNIV,DEPT MATH,WUHAN 430070,HUBEI,PEOPLES R CHINA.
通讯机构：
[Lawrencenko, S] C;CENT CHINA NORMAL UNIV,DEPT MATH,WUHAN 430070,HUBEI,PEOPLES R CHINA.
摘要：
We determine the complete list of the irreducible triangulations of the Klein bottle, up to equivalence, analyzing their structures. (C) 1997 Academic Press.
期刊：
ADVANCES IN DIFFERENTIAL EQUATIONS,1997年2(3):361-382 ISSN：1079-9389
作者机构：
Department of Mathematics, Huazhong Normal University, Wuhan, 430070, China;Department of Mathematics, University of Rochester, Rochester, NY 14627, United States;Department of Mathematics, University of Iowa, Iowa City, IA 52242, United States;[Yinbing Y.] Department of Mathematics, Huazhong Normal University, Wuhan, 430070, China, Department of Mathematics, University of Rochester, Rochester, NY 14627, United States;[Li Y.] Department of Mathematics, University of Rochester, Rochester, NY 14627, United States, Department of Mathematics, University of Iowa, Iowa City, IA 52242, United States
关键词：
In this paper;we consider the semilinear elliptic problem $$ -\triangle u+ u=|u|^{p-2}u+ \mu f(x);\quad u \in H^1(\Bbb R^N);\quad N>2. \tag"$(*)_\mu$" $$ For $p> 2$;we show that there exists a positive constant $\mu ^*>0$ such that $(*)_\mu$ possesses a minimal positive solution if $\mu \in (0;\mu ^*)$ and no positive solutions if $\mu > \mu^*$. Furthermore;if $p< \frac{2N}{N-2}$;then $(*)_\mu$ possesses at least two positive solutions for $\mu \in (0;\mu^{*})$;a unique positive solution if $\mu =\mu^*$ and there exists a constant $\mu _{*} >0 $ such that when $ \mu\in (0;\mu_{*})$;problem $(*)_\mu$ possesses at least three solutions. We also obtain some bifurcation results of the solutions at $\mu =0$ and $\mu=\mu^*$. Published: 1997 First available in Project Euclid: 23 April 2013 zbMATH: 1023.35503 MathSciNet: MR1441848 Digital Object Identifier: 10.57262/ade/1366742248 Subjects: Primary: 35J60 Secondary: 35B05;35B32
摘要：
In this paper, we consider the semilinear elliptic problem $$ -\triangle u+ u=|u|^{p-2}u+ \mu f(x), \quad u \in H^1(\Bbb R^N), \quad N>2. \tag"$(*)_\mu$" $$ For $p> 2$, we show that there exists a positive constant $\mu ^*>0$ such that $(*)_\mu$ possesses a minimal positive solution if $\mu \in (0, \mu ^*)$ and no positive solutions if $\mu > \mu^*$. Furthermore, if $p< \frac{2N}{N-2}$, then $(*)_\mu$ possesses at least two positive solutions for $\mu \in (0, \mu^{*})$, a unique positive solution if $\mu =\mu^*$ and there exists a constant $\mu _{*} >0 $ such that when $ \mu\in (0, \mu_{*})$, problem $(*)_\mu$ possesses at least three solutions. We also obtain some bifurcation results of the solutions at $\mu =0$ and $\mu=\mu^*$.
摘要：
In this paper, the absolute stability of control systems with multi nonlinear feedback terms are studied. The sufficient and necessary conditions of absolute stability are obtained. Some applied sufficient conditions of absolute stability are given.
摘要：
In this paper we prove that there exist 4-{v, k, k, k, k; lambda} supplementary difference sets with v = q(2), q = 3(mod 8) a prime power, k = q(q - 1)/2, lambda = 4k - v, and Hadamard matrices of order 4v.
期刊：
Journal of Differential Equations,1996年130(1):179-200 ISSN：0022-0396
通讯作者：
Deng, YB
作者机构：
[Li, Y; Deng, YB] UNIV ROCHESTER,DEPT MATH,ROCHESTER,NY 14627.;[Deng, YB] HUAZHONG NORMAL UNIV,DEPT MATH,WUHAN 430070,PEOPLES R CHINA.
通讯机构：
[Deng, YB] H;HUAZHONG NORMAL UNIV,DEPT MATH,WUHAN 430070,PEOPLES R CHINA.
摘要：
In this paper, we consider the semilinear elliptic equation (*)(mu) -Delta u + u = u(p-1) + uf(x), u > 0, u is an element of H-1 (R(N)), N > 2. For p = 2N/(N - 2), we show that there exists a positive constant mu* > 0 such that (*)(mu) possesses at least one solution if mu is an element of (0, mu*) and no solutions if mu > mu*. Furthermore, (*)(mu) possesses a unique solution when mu = mu*, and at least two solutions when mu is an element of (0, mu*) and 2 < N < 6. For N greater than or equal to 6, under some monotonicity conditions on f ((1.6)) we show that there exist two constants 0 < mu** less than or equal to mu** < mu* such that problem (*)(mu) possesses a unique solution for mu is an element of (0, mu**), and at least two solutions if mu is an element of (mu**, mu*). (C) 1996 Academic Press, Inc.
期刊：
Applied Mathematics and Computation,1996年75(2-3):103-115 ISSN：0096-3003
通讯作者：
Liao, XX
作者机构：
[Li, J] Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, United States;[Liao, XX] Department of Mathematics, Huazhong Normal University, Wuhan, Hubei, China
通讯机构：
[Liao, XX ] ;HUAZHONG NORMAL UNIV,DEPT MATH,WUHAN,HUBEI,PEOPLES R CHINA.
关键词：
Global stability;Sufficient conditions;Matrices
期刊：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,1996年126(4):719-724 ISSN：0308-2105
通讯作者：
Zhu, CJ
作者机构：
[Zhu, CJ] Department of Mathematics, Central China Normal University, Wuhan 430070, P.R. China
通讯机构：
[Zhu, CJ] C;CENT CHINA NORMAL UNIV,DEPT MATH,WUHAN 430070,PEOPLES R CHINA.
摘要：
In this paper we prove the global existence of the solutions of the Riemann problem for a class of 2 × 2 hyperbolic conservation laws, which is neither necessarily strictly hyperbolic nor necessarily genuinely nonlinear.
