作者机构：
[Mao, JZ; Li, DY] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Deying, L.] D;Department of Mathematics, Central China Normal University, China
关键词：
GEODETIC;BLOCK;SUBDIVISION;subdivision
摘要：
In this paper authors have obtained a new necessary and sufficient condition for a graph G to be a geodetic graph. Let g : E → Z+ be a function from the set of edges of a graph G to the set of nonnegative integers and let g(G) denote the graph obtained from G by replacing each edge e ∈ E by a suspended arc (path) Pg(e)+2 of length g(e) + 1. and by using this condition, established a criterion for a function g to be a function which can generate a new geodetic block g(G) from a given geodetic block G.
作者机构：
[Xiao, DM; Li, WX] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Li, W.] D;Department of Mathematics, Central China Normal University, China
关键词：
Cantor triadic set;Generalized Moran set;Multifractal decomposition, point-wise dimension
摘要：
Let C be the Canter triadic set and let C-alpha = C + alpha = (beta+alpha : beta is an element of C) for -1 less than or equal to alpha less than or equal to 1. Let H-p = (alpha is an element of C : dim(H) (C-alpha boolean AND C) = dim(B) (C-alpha boolean AND C) = (1 - p) log 2/log 3), 0 < p < 1. The authors give the dimensions of C-alpha boolean AND C and H-p In addition the characteristic of H-p is described by means of some measure mu supported on C.
摘要：
In this paper, the author considers a class of complete noncompact Riemannian manifolds which satisfy certain conditions on Ricci curvature and volume comparison. It is shown that any harmonic map with finite energy from such a manifold M into a normal geodesic ball in another manifold N must be asymptotically constant at the infinity of each large end of M. A related existence theorem for harmonic maps is established.
作者机构：
[Wang, GS; Deng, YB] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Wang, GS] H;Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词：
minimal positive solution;optimal control
摘要：
Some optimal control problems for the semilinear elliptic equation with critical exponent are presented. The semilinear elliptic equation in R<sup>N</sup> considered is as follows: -Δy+y = y<sup>2*</sup>+λf(x), xΕR<sup>N</sup>, N≥3 yΕH<sup>1</sup>(R<sup>N</sup>), y>0 in R<sup>N</sup>. The break of the uniqueness and the existence of the solutions makes the corresponding optimal control problems much more complicated since every control may correspond to more than one states or no state. This gap is filled by introducing the minimal positive solutions y<inf>λ</inf> as the states while the parameters λas the controls.
期刊：
Japan Journal of Industrial and Applied Mathematics,1999年16(3):467-487 ISSN：0916-7005
通讯作者：
Ying, LA
作者机构：
[Ying, LA] Peking Univ, Inst Math, Beijing 100871, Peoples R China.;City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China.;Cent China Normal Univ, Dept Math, Wuhan, Peoples R China.
摘要：
We prove that the strong detonation travelling waves for a viscous combustion model are nonlinearly stable, that is, for a given perturbation of a travelling wave, the solution converges to a shifted travelling wave asymptotically as t --> infinity. The rate of convergence is obtained. This work is a continuation of a previous work by done T.P. Liu and the first author in [7].
期刊：
ADVANCED TOPICS IN BIOMATHEMATICS,1998年:125-129
通讯作者：
Liang, ZJ
作者机构：
[Liang, ZJ] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Liang, ZJ] C;Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
摘要：
The main purpose of this paper is to give several criteria on the existence of travelling wave solutions of some reaction diffusion models in biomathematics.
摘要：
This paper shows that if G is a connected graph of order n such that <(sigma(2)(G))over bar> > 2(n/5 - 1) and L(G) is hamiltonian, then, for n greater than or equal to 43, L(G) is pancyclic. Using the result of Veldman([8]) this result settles the conjecture of Benhocine, et.al([1]): Let G be a connected almost bridgeless graph of order n such that <(sigma(2)(G))over bar> > 2(n/5 - 1). If n is sufficintly large, L(G) is pancyclic.
作者机构：
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;Department of Mathematics, Central China Normal University, Wuhan 430070, China
摘要：
This paper is a extension of [1], [3]. By the method in [1], the authors prove the global existence of the solutions of the Riemann problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws.
作者机构：
[Li, WX] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构：
[Li, WX] C;Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词：
A/W-fractal;Open set conditions;S-set
摘要：
Corresponding to the irreducible 0–1 matrix (a
ij
)
n×n
, take similitude contraction mappingsϕ
ij
for eacha
ij
=1, ina
ij
=1, in R
d
with ratio 0<r
ij
<1. There are unique nonempty compact setsF
1,…,F
n
satisfying for each1≤i≤n, F
i. We prove that open set condition holds if and only ifF
i
is ans-set for some1≤i≤n, wheres is such that the spectral radius of matrix (r
3
)
n x n
is 1.
摘要：
Let M, N be complete manifolds, u : M --> N be a harmonic map with potential H, namely, a critical point of the functional E-H(u) = integral(M)[e(u)-H(u)], where e(u) is the energy density of u. We will give a Liouville theorem for u with a class of potentials H's.
摘要：
Harmonic maps with potential from complete manifolds are considered. This is a new kind of maps more general than the usual harmonic maps relating to many interesting problems such as equilibrium system of ferromagnetic spin chain and Neumann motion. Aiming at the general properties, the author derives basic gradient estimates and then Liouville type results for these maps, which are interesting in constrast to those of the usual harmonic maps for the presence of potentials.
作者：
Koukouvinos, C;Seberry, J;Whiteman, AL;Xia, MY
期刊：
Journal of Statistical Planning and Inference,1997年62(1):81-90 ISSN：0378-3758
通讯作者：
Jennifer Seberry
作者机构：
NATL TECH UNIV ATHENS,DEPT MATH,GR-15773 ZOGRAFOS,ATHENS,GREECE.;UNIV WOLLONGONG,DEPT COMP SCI,WOLLONGONG,NSW 2522,AUSTRALIA.;UNIV SO CALIF,DEPT MATH,LOS ANGELES,CA 90089.;HUAZHONG NORMAL UNIV,DEPT MATH,WUHAN 430070,PEOPLES R CHINA.;[Koukouvinos, C] Department of Mathematics, National Technical University of Athens, Zografou 15773, Athens, Greece
通讯机构：
[Jennifer Seberry] D;Department of Computer Science, University of Wollongong, Wollongong, NSW 2522, Australia
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.
