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Korean Journal of Mathematics
Journal Basic Information
pISSN :
1976-8605
eISSN :
2288-1433
Journal DOI :
10.11568/kjm
Frequency :
Others
Publisher:
The Kangwon-Kyungki Mathematical Society
Editor in Chief :
Gi-Sang Cheon
Volume & Issues
Volume 24, Issue 2 - Jun 2016
Volume 24, Issue 1 - Mar 2016
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1
UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC PROPERTY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS
Im, Dong Man ; Goo, Yoon Hoe ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 1~13
DOI : 10.11568/kjm.2016.24.1.1
Abstract
This paper shows that the solutions to the perturbed functional dierential system
have uniformly Lipschitz stability and asymptotic property. To sRhow these properties, we impose conditions on the perturbed part
and the fundamental matrix of the unperturbed system
.
2
ESSENTIAL NORM OF THE PULL BACK OPERATOR
Shuan, Tang ; Chong, Wu ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 15~25
DOI : 10.11568/kjm.2016.24.1.15
Abstract
We obtain some estimations of the essential norm of a pull back operator induced by quasi-symmetric homeomorphisms. As a corollary, we deduce the compactness criterion of this operator.
3
INTERVAL-VALUED INTUITIONISTIC GRADATION OF OPENNESS
Park, Chun-Kee ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 27~40
DOI : 10.11568/kjm.2016.24.1.27
Abstract
In this paper, we introduce the concepts of interval-valued intuitionistic gradation of openness of fuzzy sets which is a generalization of intuitionistic gradation of openness of fuzzy sets and interval-valued intuitionistic gradation preserving mapping and then investigate their properties.
4
THE HYERS-ULAM STABILITY OF A QUADRATIC FUNCTIONAL EQUATION WITH INVOLUTION IN PARANORMED SPACES
Kim, Chang Il ; Shin, Chang Hyeob ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 41~49
DOI : 10.11568/kjm.2016.24.1.41
Abstract
In this paper, using xed point method, we prove the Hyers-Ulam stability of the following functional equation
with involution in paranormed spaces.
5
REGULARIZED EQUILIBRIUM PROBLEMS IN BANACH SPACES
Salahuddin, Salahuddin ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 51~63
DOI : 10.11568/kjm.2016.24.1.51
Abstract
In this works, we consider a class of regularized equilibrium problems in Banach spaces. By using the auxiliary principle techniques to suggest some iterative schemes for regularized equilibrium problems and proved the convergence of these iterative methods required either pseudoaccretivity or partially relaxed strongly accretivity.
6
RIESZ PROJECTIONS FOR A NON-HYPONORMAL OPERATOR
Lee, Jae Won ; Jeon, In Ho ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 65~70
DOI : 10.11568/kjm.2016.24.1.65
Abstract
J. G. Stampfli proved that if a bounded linear operator T on a Hilbert space
satisfies (
) property, then the Riesz projection
associated with
(T) is self-adjoint and
. In this note we show that Stampfli''s result is generalized to an nilpotent extension of an operator having (
) property.
7
REPRESENTATION OF A POSITIVE INTEGER BY A SUM OF LARGE FOUR SQUARES
Kim, Byeong Moon ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 71~79
DOI : 10.11568/kjm.2016.24.1.71
Abstract
In this paper, we determine all positive integers which cannot be represented by a sum of four squares at least 9, and prove that for each N, there are nitely many positive integers which cannot be represented by a sum of four squares at least
except
,
and
for
. As a consequence, we prove that for each
there are nitely many positive integers which cannot be represented by a sum of k squares at least
.
8
FINDING THE NATURAL SOLUTION TO f(f(x)) = exp(x)
Paulsen, William ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 81~106
DOI : 10.11568/kjm.2016.24.1.81
Abstract
In this paper, we study the fractional iterates of the exponential function. This is an unresolved problem, not due to a lack of a known solution, but because there are an innite number of solutions, and there is no agreement as to which solution is "best." We will approach the problem by rst solving Abel's functional equation
by perturbing the exponential function so as to produce a real xed point, allowing a unique holomorphic solution. We then use this solution to nd a solution to the unperturbed problem. However, this solution will depend on the way we rst perturbed the exponential function. Thus, we then strive to remove the dependence of the perturbed function. Finally, we produce a solution that is in a sense more natural than other solutions.
9
ALMOST-PRIMES REPRESENTED BY p + a
^{m}
Lu, Yaming ;
Korean Journal of Mathematics, volume 24, issue 1, 2016, Pages 107~138
DOI : 10.11568/kjm.2016.24.1.107
Abstract
Let
be a xed integer in this paper. By using the method of Goldston, Pintz and Yildirm, we will prove that there are innitely many almost-primes which can be represented as
in at least two dierent ways.