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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 :
Yongnam Lee
Volume & Issues
Volume 51, Issue 6 - Nov 2014
Volume 51, Issue 5 - Sep 2014
Volume 51, Issue 4 - Jul 2014
Volume 51, Issue 3 - May 2014
Volume 51, Issue 2 - Mar 2014
Volume 51, Issue 1 - Jan 2014
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1
GLOBAL WEAK MORREY ESTIMATES FOR SOME ULTRAPARABOLIC OPERATORS OF KOLMOGOROV-FOKKER-PLANCK TYPE
Feng, Xiaojing ; Niu, Pengcheng ; Zhu, Maochun ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1241~1257
DOI : 10.4134/BKMS.2014.51.5.1241
Abstract
We consider a class of hypoelliptic operators of the following type
, where (
), (
) are constant matrices and (
) is symmetric positive definite on
(
). By establishing global Morrey estimates of singular integral on the homogenous space and the relation between Morrey space and weak Morrey space, we obtain the global weak Morrey estimates of the operator L on the whole space
.
2
HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING
Fakhari, Abbas ; Lee, Seunghee ; Tajbakhsh, Khosro ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1259~1267
DOI : 10.4134/BKMS.2014.51.5.1259
Abstract
In this paper we show that any chain transitive set of a diffeomorphism on a compact
-manifold which is
-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a
-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.
3
STRUCTURAL STABILITY RESULTS FOR THE THERMOELASTICITY OF TYPE III
Liu, Yan ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1269~1279
DOI : 10.4134/BKMS.2014.51.5.1269
Abstract
The equations arising from the thermoelastic theory are analyzed in a linear approximation. First, we establish the convergence result on the coefficient c. Next, we establish that the solution depends continuously on changes in the coefficient c. The main tool used in this paper is the energy method.
4
ON THE TRANSCENDENTAL ENTIRE SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS
Lu, Weiran ; Li, Qiuying ; Yang, Chungchun ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1281~1289
DOI : 10.4134/BKMS.2014.51.5.1281
Abstract
In this paper, we consider the differential equation
, where
and
are polynomials with
, R is a rational function and
is an entire function. We consider solutions of the form
, where f is an entire function and
is an integer, and we prove that if f is a transcendental entire function, then
is a polynomial and
. This theorem improves some known results and answers an open question raised in [16].
5
VALUE DISTRIBUTION OF DIFFERENCE OPERATOR ON MEROMORPHIC FUNCTIONS
Ding, Jie ; Yang, Lian-Zhong ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1291~1297
DOI : 10.4134/BKMS.2014.51.5.1291
Abstract
In this paper, we investigate the value distribution of the difference operator on meromorphic functions, and obtain a difference analogue of a theorem of Hayman on meromorphic functions.
6
UNIFORM ATTRACTORS FOR NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON ℝ
^{N}
Anh, Cung The ; Nguyen, Duong Toan ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1299~1324
DOI : 10.4134/BKMS.2014.51.5.1299
Abstract
We prove the existence of uniform attractors
in the space
for the following non-autonomous nonclassical diffusion equations on
,
. The upper semicontinuity of the uniform attractors
at
is also studied.
7
ON THE LAST DIGIT AND THE LAST NON-ZERO DIGIT OF n
^{n}
IN BASE b
Grau, Jose Maria ; Oller-Marcen, Antonio M. ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1325~1337
DOI : 10.4134/BKMS.2014.51.5.1325
Abstract
In this paper we study the sequences defined by the last and the last non-zero digits of
in base b. For the sequence given by the last digits of
in base b, we prove its periodicity using different techniques than those used by W. Sierpinski and R. Hampel. In the case of the sequence given by the last non-zero digits of
in base b (which had been studied only for b = 10) we show the non-periodicity of the sequence when b is an odd prime power and when it is even and square-free. We also show that if
the sequence is periodic and conjecture that this is the only such case.
8
A BOUNDED KOHN NIRENBERG DOMAIN
Calamai, Simone ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1339~1345
DOI : 10.4134/BKMS.2014.51.5.1339
Abstract
Building on the famous domain of Kohn and Nirenberg we give an example of a domain which shares the important features of the Kohn Nirenberg domain, but which can also be shown to be
-bounded As an application, we remark that this example has compact automorphism group.
9
A NEW ATTACK ON THE KMOV CRYPTOSYSTEM
Nitaj, Abderrahmane ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1347~1356
DOI : 10.4134/BKMS.2014.51.5.1347
Abstract
In this paper, we analyze the security of the KMOV public key cryptosystem. KMOV is based on elliptic curves over the ring
where n = pq is the product of two large unknown primes of equal bit-size. We consider KMOV with a public key (n, e) where the exponent e satisfies an equation ex-(p+1)(q+1)y = z, with unknown parameters x, y, z. Using Diophantine approximations and lattice reduction techniques, we show that KMOV is insecure when x, y, z are suitably small.
10
DYNAMICAL BEHAVIOR OF A HARVEST SINGLE SPECIES MODEL ON GROWING HABITAT
Ling, Zhi ; Zhang, Lai ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1357~1368
DOI : 10.4134/BKMS.2014.51.5.1357
Abstract
This paper is concerned with a reaction-diffusion single species model with harvesting on n-dimensional isotropically growing domain. The model on growing domain is derived and the corresponding comparison principle is proved. The asymptotic behavior of the solution to the problem is obtained by using the method of upper and lower solutions. The results show that the growth of domain takes a positive effect on the asymptotic stability of positive steady state solution while it takes a negative effect on the asymptotic stability of the trivial solution, but the effect of the harvesting rate is opposite. The analytical findings are validated with the numerical simulations.
11
SOLVABILITY OF SOME ENTANGLED DIOPHANTINE EQUATIONS
Park, Poo-Sung ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1369~1374
DOI : 10.4134/BKMS.2014.51.5.1369
Abstract
We show that the Diophantine equation
has integral solutions for arbitrary positive integers a, b, c when Q(x, y) is a norm form for some imaginary quadratic fields.
12
CODIMENSION REDUCTION FOR SUBMANIFOLDS OF UNIT (4m+3)-SPHERE AND ITS APPLICATIONS
Kim, Hyang Sook ; Pak, Jin Suk ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1375~1397
DOI : 10.4134/BKMS.2014.51.5.1375
Abstract
In this paper we establish codimension reduction theorem for submanifolds of a (4m+3)-dimensional unit sphere
with Sasakian 3-structure and apply it to submanifolds of a quaternionic projective space.
13
UNIFORM MODERATE DEVIATION OF SAMPLE QUANTILES AND ORDER STATISTICS
Xu, ShouFang ; Miao, Yu ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1399~1409
DOI : 10.4134/BKMS.2014.51.5.1399
Abstract
In this article, we establish the
-uniform moderate deviation principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.
14
DUALITY OF Q
_{K}
-TYPE SPACES
Zhan, Mujun ; Cao, Guangfu ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1411~1423
DOI : 10.4134/BKMS.2014.51.5.1411
Abstract
For BMO, it is well known that
. In this paper such duality results of
-type spaces are obtained which generalize the results by M. Pavlovi
and J. Xiao.
15
A NOTE ON RECURRENCE FORMULA FOR VALUES OF THE EULER ZETA FUNCTIONS ζ
_{E}
(2n) AT POSITIVE INTEGERS
Lee, Hui Young ; Ryoo, Cheon Seoung ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1425~1432
DOI : 10.4134/BKMS.2014.51.5.1425
Abstract
The Euler zeta function is defined by
. The purpose of this paper is to find formulas of the Euler zeta function's values. In this paper, for
we find the recurrence formula of
using the Fourier series. Also we find the recurrence formula of
, where
.
16
MULTIPLE PERIODIC SOLUTIONS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS ACROSS RESONANCE
Cai, Hua ; Chang, Xiaojun ; Zhao, Xin ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1433~1451
DOI : 10.4134/BKMS.2014.51.5.1433
Abstract
In this paper we study the existence of multiple periodic solutions of second-order ordinary differential equations. New results of multiplicity of periodic solutions are obtained when the nonlinearity may cross multiple consecutive eigenvalues. The arguments are proceeded by a combination of variational and degree theoretic methods.
17
SOME RESULTS RELATED TO COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS OF CERTAIN TYPES
Liu, Kai ; Dong, Xianjing ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1453~1467
DOI : 10.4134/BKMS.2014.51.5.1453
Abstract
In this paper, we consider the growth and existence of solutions of differential-difference equations of certain types. We also consider the differential-difference analogues of Br
ck conjecture and give a short proof on a theorem given by Li, Yang and Yi [18]. Our additional purpose is to explore the similarity or difference on some problems in differential, difference and differential-difference fields.
18
RANDOM ATTRACTOR FOR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
You, Honglian ; Yuan, Rong ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1469~1484
DOI : 10.4134/BKMS.2014.51.5.1469
Abstract
In this paper we are concerned with a class of stochastic partial functional differential equations with infinite delay. Supposing that the linear part is a Hille-Yosida operator but not necessarily densely defined and employing the integrated semigroup and random dynamics theory, we present some appropriate conditions to guarantee the existence of a random attractor.
19
ASYMPTOTIC PROPERTIES OF THE HYPERBOLIC METRIC ON THE SPHERE WITH THREE CONICAL SINGULARITIES
Zhang, Tanran ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1485~1502
DOI : 10.4134/BKMS.2014.51.5.1485
Abstract
The explicit formula for the hyperbolic metric
on the thrice-punctured sphere
with singularities of order 0 <
,
< 1,
,
> 2 at 0, 1,
was given by Kraus, Roth and Sugawa in [9]. In this article we investigate the asymptotic properties of the higher order derivatives of
near the origin and give more precise descriptions for the asymptotic behavior of
.
20
PERSISTENCE OF HOMOCLINIC ORBITS AFTER DISCRETIZATION OF A TWO DIMENSIONAL DEGENERATE DIFFERENTIAL SYSTEM
Mehidi, Noureddine ; Mohdeb, Nadia ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1503~1510
DOI : 10.4134/BKMS.2014.51.5.1503
Abstract
The aim of this work is to construct a general family of two dimensional differential systems which admits homoclinic solutions near a non-hyperbolic fixed point, such that a Jacobian matrix at this point is zero. We then discretize it by using Euler's method and look after the persistence of the homoclinic solutions in the obtained discrete system.
21
ON THE STABILITY OF RADICAL FUNCTIONAL EQUATIONS IN QUASI-β-NORMED SPACES
Cho, Yeol Je ; Gordji, Madjid Eshaghi ; Kim, Seong Sik ; Yang, Youngoh ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1511~1525
DOI : 10.4134/BKMS.2014.51.5.1511
Abstract
In this paper, we prove the generalized Hyers-Ulam stability results controlled by considering approximately mappings satisfying conditions much weaker than Hyers and Rassias conditions for radical quadratic and radical quartic functional equations in quasi-
-normed spaces.
22
A CYCLIC AND SIMULTANEOUS ITERATIVE ALGORITHM FOR THE MULTIPLE SPLIT COMMON FIXED POINT PROBLEM OF DEMICONTRACTIVE MAPPINGS
Tang, Yu-Chao ; Peng, Ji-Gen ; Liu, Li-Wei ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1527~1538
DOI : 10.4134/BKMS.2014.51.5.1527
Abstract
The purpose of this paper is to address the multiple split common fixed point problem. We present two different methods to approximate a solution of the problem. One is cyclic iteration method; the other is simultaneous iteration method. Under appropriate assumptions on the operators and iterative parameters, we prove both the proposed algorithms converge to the solution of the multiple split common fixed point problem. Our results generalize and improve some known results in the literatures.
23
ON THE STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER ORDER MEAN CURVATURE IN A DE SITTER SPACE
Zhang, Shicheng ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1539~1549
DOI : 10.4134/BKMS.2014.51.5.1539
Abstract
The closed spacelike hypersurfaces with higher order mean curvature is discussed in a de Sitter space. The hypersurface is proved stable if and only if it is totally umbilical.
24
COEFFICIENT DISCS AND GENERALIZED CENTRAL FUNCTIONS FOR THE CLASS OF CONCAVE SCHLICHT FUNCTIONS
Bhowmik, Bappaditya ; Wirths, Karl-Joachim ;
Bulletin of the Korean Mathematical Society, volume 51, issue 5, 2014, Pages 1551~1559
DOI : 10.4134/BKMS.2014.51.5.1551
Abstract
We consider functions that map the open unit disc conformally onto the complement of an unbounded convex set with opening angle
,
, at infinity. We derive the exact interval for the variability of the real Taylor coefficients of these functions and we prove that the corresponding complex Taylor coefficients of such functions are contained in certain discs lying in the right half plane. In addition, we also determine generalized central functions for the aforesaid class of functions.