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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Volume & Issues
Volume 20, Issue 4 - Nov 2013
Volume 20, Issue 3 - Aug 2013
Volume 20, Issue 2 - May 2013
Volume 20, Issue 1 - Feb 2013
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1
A NOTE ON THE INTEGRAL POINTS ON SOME HYPERBOLAS
Ko, Hansaem ; Kim, Yeonok ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 137~148
DOI : 10.7468/jksmeb.2013.20.3.137
Abstract
In this paper, we study the Lie-generalized Fibonacci sequence and the root system of rank 2 symmetric hyperbolic Kac-Moody algebras. We derive several interesting properties of the Lie-Fibonacci sequence and relationship between them. We also give a couple of sufficient conditions for the existence of the integral points on the hyperbola
and
(
>
). To list all the integral points on that hyperbola, we find the number of elements of
.
2
ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES
Kim, Dong-Soo ; Song, Booseon ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 149~158
DOI : 10.7468/jksmeb.2013.20.3.149
Abstract
In this article, we study the Gauss map of generalized slant cylindrical surfaces (GSCS's) in the 3-dimensional Euclidean space
. Surfaces of revolution, cylindrical surfaces and tubes along a plane curve are special cases of GSCS's. Our main results state that the only GSCS's with Gauss map G satisfying
for some
matrix A are the planes, the spheres and the circular cylinders.
3
COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS
Deshpande, Bhavana ; Sharma, Sushil ; Handa, Amrish ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 159~180
DOI : 10.7468/jksmeb.2013.20.3.159
Abstract
We establish a common fixed point theorem for mappings under
-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.
4
FIXED POINT THEOREMS VIA FAMILY OF MAPS IN WEAK NON-ARCHIMEDEAN MENGER PM-SPACES
Singh, Deepak ; Ahmed, Amin ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 181~198
DOI : 10.7468/jksmeb.2013.20.3.181
Abstract
C. Vetro [4] gave the concept of weak non-Archimedean in fuzzy metric space. Using the same concept for Menger PM spaces, Mishra et al. [22] proved the common fixed point theorem for six maps, Also they introduced semi-compatibility. In this paper, we generalized the theorem [22] for family of maps and proved the common fixed point theorems using the pair of semi-compatible and reciprocally continuous maps for one pair and R-weakly commuting maps for another pair in Menger WNAPM-spaces. Our results extends and generalizes several known results in metric spaces, probabilistic metric spaces and the similar spaces.
5
A NOTE ON SCALAR CURVATURE FUNCTIONS OF ALMOST-KÄHLER METRICS
Kim, Jongsu ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 199~206
DOI : 10.7468/jksmeb.2013.20.3.199
Abstract
We present a 4-dimensional nil-manifold as the first example of a closed non-K
hlerian symplectic manifold with the following property: a function is the scalar curvature of some almost K
hler metric iff it is negative somewhere. This is motivated by the Kazdan-Warner's work on classifying smooth closed manifolds according to the possible scalar curvature functions.
6
MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD
Choi, Eunmi ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 207~221
DOI : 10.7468/jksmeb.2013.20.3.207
Abstract
In this work we study the tribonacci numbers. We find a tribonacci triangle which is an analog of Pascal triangle. We also investigate an efficient method to compute any
th tribonacci numbers by matrix method, and find periods of the sequence by taking modular tribonacci number.
7
BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS
Goo, Yoon Hoe ;
The Pure and Applied Mathematics, volume 20, issue 3, 2013, Pages 223~232
DOI : 10.7468/jksmeb.2013.20.3.223
Abstract
Alexseev's formula generalizes the variation of constants formula and permits the study of a nonlinear perturbation of a system with certain stability properties. In recent years M. Pinto introduced the notion of
-stability. S.K. Choi et al. investigated
-stability for the nonlinear differential systems using the notion of
-similarity. Applying these two notions, we study bounds for solutions of the perturbed differential systems.