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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 47, Issue 6 - Nov 2010
Volume 47, Issue 5 - Sep 2010
Volume 47, Issue 4 - Jul 2010
Volume 47, Issue 3 - May 2010
Volume 47, Issue 2 - Mar 2010
Volume 47, Issue 1 - Jan 2010
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1
ENDOGENOUS DOWNWARD JUMP DIFFUSION AND BLOW UP PHENOMENA BEFORE CRASH
Kwon, Young-Mee ; Jeon, In-Tae ; Kang, Hye-Jeong ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1105~1119
DOI : 10.4134/BKMS.2010.47.6.1105
Abstract
We consider jump processes which has only downward jumps with size a fixed fraction of the current process. The jumps of the pro cesses are interpreted as crashes and we assume that the jump intensity is a nondecreasing function of the current process say
(X) (X = X(t) process). For the case of
(X) =
,
> 0, we show that the process X shold explode in finite time, say
, conditional on no crash For the case of
(X) = (lnX)
, we show that
= 1 is the borderline of two different classes of processes. We generalize the model by adding a Brownian noise and examine the blow up properties of the sample paths.
2
ON (σ, τ)-LIE IDEALS WITH GENERALIZED DERIVATION
Golbasi, Oznur ; Koc, Emine ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1121~1129
DOI : 10.4134/BKMS.2010.47.6.1121
Abstract
In the present paper, we extend some well known results concerning derivations of prime rings to generalized derivations for (
)-Lie ideals.
3
AN EXTENSION OF AN ANALYTIC FORMULA OF THE DETERMINISTIC EPIDEMICS MODEL PROBLEM THROUGH LIE GROUP OF OPERATORS
Kumar, Hemant ; Kumari, Shilesh ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1131~1138
DOI : 10.4134/BKMS.2010.47.6.1131
Abstract
In the present paper, we evaluate an analytic formula as a solution of Susceptible Infective (SI) model problem for communicable disease in which the daily contact rate (C(N)) is supposed to be varied linearly with population size N(t) that is large so that it is considered as a continuous variable of time t. Again, we introduce some Lie group of operators to make an extension of above analytic formula of the determin-istic epidemics model problem. Finally, we discuss some of its particular cases.
4
SELF-NORMALIZED WEAK LIMIT THEOREMS FOR A ø-MIXING SEQUENCE
Choi, Yong-Kab ; Moon, Hee-Jin ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1139~1153
DOI : 10.4134/BKMS.2010.47.6.1139
Abstract
Let {
} be a strictly stationary
-mixing sequence of non-degenerate random variables with
= 0. In this paper, we establish a self-normalized weak invariance principle and a central limit theorem for the sequence {
} under the condition that L(x) :=
is a slowly varying function at
, without any higher moment conditions.
5
EXPONENTS OF CARTESIAN PRODUCTS OF TWO DIGRAPHS OF SPECIAL ORDERS
Kim, Byeong-Moon ; Rho, Yoo-Mi ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1155~1162
DOI : 10.4134/BKMS.2010.47.6.1155
Abstract
In this paper, we find the maximum exponent of D
E, the cartesian product of two digraphs D and E on n, n + 2 vertices, respectively for an even integer
. We also characterize the extrema cases.
6
FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD
Camci, Cetin ; Hacisalihoglu, H. Hilmi ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1163~1170
DOI : 10.4134/BKMS.2010.47.6.1163
Abstract
We study finite type curve in
(-3) which lies in a cylinder
(c). Baikousis and Blair proved that a Legendre curve in
(-3) of constant curvature lies in cylinder
(c) and is a 1-type curve, conversely, a 1-type Legendre curve is of constant curvature. In this paper, we will prove that a 1-type curve lying in a cylinder
(c) has a constant curvature. Furthermore we will prove that a curve in
(-3) which lies in a cylinder
(c) is finite type if and only if the curve is 1-type.
7
SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACES
Li, Songxiao ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1171~1180
DOI : 10.4134/BKMS.2010.47.6.1171
Abstract
In this paper we obtain some new characterizations for weighted Bergman spaces in the unit ball of
.
8
THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS
Jang, Lee-Chae ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1181~1188
DOI : 10.4134/BKMS.2010.47.6.1181
Abstract
q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by
where 0 < q < 1,
(s) > 1,
, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.
9
ON THE ZEROS OF SELF-RECIPROCAL POLYNOMIALS SATISFYING CERTAIN COEFFICIENT CONDITIONS
Kim, Seon-Hong ; Lee, Jung-Hee ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1189~1194
DOI : 10.4134/BKMS.2010.47.6.1189
Abstract
Kim and Park investigated the distribution of zeros around the unit circle of real self-reciprocal polynomials of even degrees with five terms, where the absolute value of middle coefficient equals the sum of all other coefficients. In this paper, we extend some of their results to the same kinds of polynomials with arbitrary many nonzero terms.
10
CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS
Zhou, Wei ; Kim, Goan-Su ; Shi, Wujie ; Tang, C.Y. ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1195~1204
DOI : 10.4134/BKMS.2010.47.6.1195
Abstract
In this paper, we prove a criterion of conjugacy separability of generalized free products of polycyclic-by-finite groups with a non cyclic amalgamated subgroup. Applying this criterion, we prove that certain generalized free products of polycyclic-by-finite groups are conjugacy separable.
11
TRIVIALITY OF A TRACE ON THE SPACE OF COMMUTING TRACE-CLASS SELF-ADJOINT OPERATORS
Myung, Sung ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1205~1211
DOI : 10.4134/BKMS.2010.47.6.1205
Abstract
In the present article, we investigate the possibility of a real-valued map on the space of tuples of commuting trace-class self-adjoint operators, which behaves like the usual trace map on the space of trace-class linear operators. It turns out that such maps are related with continuous group homomorphisms from the Milnor's K-group of the real numbers into the additive group of real numbers. Using this connection, it is shown that any such trace map must be trivial, but it is proposed that the target group of a nontrivial trace should be a linearized version of Milnor's K-theory as with the case of universal determinant for commuting tuples of matrices rather than just the field of constants.
12
ON FILLING DISCS IN THE STRONG BOREL DIRECTION OF ALGEBROID FUNCTION WITH FINITE ORDER
Huo, Yingying ; Kong, Yinying ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1213~1224
DOI : 10.4134/BKMS.2010.47.6.1213
Abstract
Using Ahlfors' covering surface method, some properties on the strong Borel direction of algebroid function of finite order are obtained. The main object of this paper is to prove existence theorem of a strong Borel direction and the existence of filling discs in such direction which briefly extends some results of meromorphic function.
13
NUMERICAL SOLUTIONS FOR SPACE FRACTIONAL DISPERSION EQUATIONS WITH NONLINEAR SOURCE TERMS
Choi, Hong-Won ; Chung, Sang-Kwon ; Lee, Yoon-Ju ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1225~1234
DOI : 10.4134/BKMS.2010.47.6.1225
Abstract
Numerical solutions for the fractional differential dispersion equations with nonlinear forcing terms are considered. The backward Euler finite difference scheme is applied in order to obtain numerical solutions for the equation. Existence and stability of the approximate solutions are carried out by using the right shifted Grunwald formula for the fractional derivative term in the spatial direction. Error estimate of order
is obtained in the discrete
norm. The method is applied to a linear fractional dispersion equations in order to see the theoretical order of convergence. Numerical results for a nonlinear problem show that the numerical solution approach the solution of classical diffusion equation as fractional order approaches 2.
14
THREE SOLUTIONS TO A CLASS OF NEUMANN DOUBLY EIGENVALUE ELLIPTIC SYSTEMS DRIVEN BY A (p
_{1}
,...,p
_{n}
)-LAPLACIAN
Afrouzi, Ghasem A. ; Heidarkhani, Shapour ; O'Regan, Donal ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1235~1250
DOI : 10.4134/BKMS.2010.47.6.1235
Abstract
In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a (
)-Laplacian. Our main tool is a recent three critical points theorem of B. Ricceri.
15
CONCAVITY OF THE CONDITIONAL MEAN SOJOURN TIME IN THE PROCESSOR-SHARING QUEUE WITH BATCH ARRIVALS
Kim, Jeong-Sim ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1251~1258
DOI : 10.4134/BKMS.2010.47.6.1251
Abstract
For an M/G/1 processor-sharing queue with batch arrivals, Avrachenkov et al. [1] conjectured that the conditional mean sojourn time is concave. However, Kim and Kim [5] showed that this conjecture is not true in general. In this paper, we show that this conjecture is true if the service times have a hyperexponential distribution.
16
STRONG CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS FOR AN INFINITE FAMILY OF STRICT PSEUDOCONTRACTIONS
Cho, Yeol-Je ; Kang, Shin-Min ; Qin, Xiaolong ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1259~1268
DOI : 10.4134/BKMS.2010.47.6.1259
Abstract
In this paper, we consider an implicit iterative process with errors for an in nite family of strict pseudocontractions. Strong convergence theorems are established in the framework of Banach spaces. The results presented in this paper improve and extend the recent ones announced by many others.
17
A COMPLEX SURFACE OF GENERAL TYPE WITH p
_{g}
=0, K
^{2}
=3 AND H
_{1}
= ℤ/2ℤ
Park, Hee-Sang ; Park, Jong-Il ; Shin, Dong-Soo ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1269~1274
DOI : 10.4134/BKMS.2010.47.6.1269
Abstract
As the sequel to our previous work [4], we construct a minimal complex surface of general type with
,
and
=
by using a rational blow-down surgery and
-Gorenstein smoothing the-ory.
18
WIENER-HOPF C
^{*}
-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS
Jang, Sun-Young ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1275~1283
DOI : 10.4134/BKMS.2010.47.6.1275
Abstract
If the Wiener-Hopf
-algebra W(G,M) for a discrete group G with a semigroup M has the uniqueness property, then the structure of it is to some extent independent of the choice of isometries on a Hilbert space. In this paper we show that if the Wiener-Hopf
-algebra W(G,M) of a partially ordered group G with the positive cone M has the uniqueness property, then (G,M) is weakly unperforated. We also prove that the Wiener-Hopf
-algebra W(
, M) of subsemigroup generating the integer group
is isomorphic to the Toeplitz algebra, but W(
, M) does not have the uniqueness property except the case M =
.
19
CHARACTERIZATIONS OF SOME ISOMETRIC IMMERSIONS IN TERMS OF CERTAIN FRENET CURVES
Choi, Jin-Ho ; Kim, Young-Ho ; Tanabe, Hiromasa ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1285~1296
DOI : 10.4134/BKMS.2010.47.6.1285
Abstract
We give criterions for a submanifold to be an extrinsic sphere and to be a totally geodesic submanifold by observing some Frenet curves of order 2 on the submanifold. We also characterize constant isotropic immersions into arbitrary Riemannian manifolds in terms of Frenet curves of proper order 2 on submanifolds. As an application we obtain a characterization of Veronese embeddings of complex projective spaces into complex projective spaces.
20
TWISTED FACE-PAIRING 3-MANIFOLDS WHICH ARE HYPERBOLIC
Hong, Sung-Bok ; Lee, Kyung-Hwa ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1297~1310
DOI : 10.4134/BKMS.2010.47.6.1297
Abstract
We construct a family of 3-balls using cones which represent closed orientable 3-manifolds and study twisted face-pairing construction due to Cannon, Floyd and Parry to understand the structure of such manifolds. Moreover, we prove that those manifolds are hyperbolic.
21
GOTTLIEB SUBSETS WITH RESPECT TO A MORPHISM IN THE CATEGORY OF PAIRS
Kim, Ji-Yean ; Lee, Kee-Young ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1311~1327
DOI : 10.4134/BKMS.2010.47.6.1311
Abstract
We introduce the concept of cyclic morphisms with respect to a morphism in the category of pairs as a generalization of the concept of cyclic maps and we use the concept to obtain certain sets of homotopy classes in the category of pairs. For these sets, we get complete or partial answers to the following questions: (1) Is the concept the most general concept in the class of all concepts of generalized Gottlieb subsets introduced by many authors until now? (2) Are they homotopy invariants in the category of pairs? (3) When do they have a group structure?.
22
MULTIPLICATION MODULES WHOSE ENDOMORPHISM RINGS ARE INTEGRAL DOMAINS [Author's Correction]
Lee, Sang-Cheol ;
Bulletin of the Korean Mathematical Society, volume 47, issue 6, 2010, Pages 1329~1329
DOI : 10.4134/BKMS.2010.47.6.1329
Abstract