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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 2, Issue 2 - Dec 1995
Volume 2, Issue 1 - Jun 1995
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1
THE PETTIS INTEGRABILITY OF BOUNDED WEAKLY MEASURABLE FUNCTIONS ON FINITE MEASURE SPACES
Kim, Kyung-Bae ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 1~8
Abstract
Since the concept of Pettis integral was introduced in 1938 [10], the Pettis integrability of weakly measurable functions has been studied by many authors [5, 6, 7, 8, 9, 11]. It is known that there is a bounded function that is not Pettis integrable [10, Example 10. 8]. So it is natural to raise the question: when is a bounded function Pettis integrable\ulcorner(omitted)
2
THE COMPLETION OF SOME METRIC SPACE OF FUZZY NUMBERS
Choi, Hee-Chan ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 9~16
Abstract
D. Dubois and H. Prade introduced the notions of fuzzy numbers and defined its basic operations [3]. R. Goetschel, W. Voxman, A. Kaufmann, M. Gupta and G. Zhang [4,5,6,9] have done much work about fuzzy numbers. Let
the set of all real numbers and
all fuzzy subsets defined on
. G. Zhang [8] defined the fuzzy number
as follows : (omitted)
3
A SURVEY OF BLOCH CONSTANTS
An, Jong-Su ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 17~24
Abstract
We begin with a brief survey of some of the known results dealing with Bloch constants. Bloch's theorem asserts that there is a constant B
1.C/(1, 0) such that if f is holomorphic in the open unit disk D and normalized by │f'(0)│
1, then the Riemann surface of f contains an unramified disk of radius at least B
1.C/(1, 0) (see[7,p.14]).(omitted)
4
ON SOME PROPERTIES OF THE BLASS TOPOS
Kim, Ig-Sung ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 25~29
Abstract
The topos constructed in [6] is a set-like category that includes among its axioms an axiom of infinity and an axiom of choice. In its final form a topos is free from any such axioms. Set
G/ is a topos whose object are G-set Ψ
s/:G
S\longrightarrowS and morphism f:S \longrightarrowT is an equivariants map. We already known that Set
G/ satisfies the weak form of the axiom of choice but it does not satisfies the axiom of the choice.(omitted)
5
SOME RELATIONS BETWEEN FUNCTION SPACES ON R
Shin, Seung-Hyun ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 31~34
Abstract
Let R
be n-th Euclidean space. Let be the n-th spere embeded as a subspace in R
n+1/ centered at the origin. In this paper, we are going to consider the function space F = {f│f : S
\longrightarrow S
} metrized by as follow D(f,g)=d(f(
), g(
)) where f, g
F and d is the metric in S
. Finally we want to find certain relation these spaces.(omitted)
6
ON A CONDITION OF OSCILLATORY OF 3-ORDER DIFFERENTIAL EQUATION
Cho, In-Goo ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 35~41
Abstract
We consider the linear differential equations y〃'＋ P(
)y'＋Q(
)y=0 (1)(y"＋P(
)y)'-Q(
)y =0 (2) Where (2) in the adjoint of (1) and P(
), Q(
) are continuous functions satisfying P(
)
0, Q(
)
0, P(
)-Q(
)
0 on [a,
). (3) In this, we show that a condition a oscillatory of(1).(omitted)
7
BASIS FOR ALMOST LINEAR SPACES
Lee, Sang-Han ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 43~51
Abstract
In this paper, we introduce the almost linear spaces, a generalization of linear spaces. We prove that if the almost linear space X has a finite basis then, as in the case of a linear space, the cardinality of bases for the almost linear space X is unique. In the case X = Wx ＋ Vx, we prove that B'= {
'
} is a basis for the algebraic dual X
of X if B = {
'
} is a basis for the almost linear space X. And we have an example X(
Wx ＋ Vx) which has no such a basis.
8
A NOTE ON THE OSCILLATION CRITERIA OF SOLUTIONS TO SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION
Kim, Yong-Ki ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 53~59
Abstract
Consider a solution y(t) of the nonlinear equation (E) y" ＋ f(t, y) = 0. A solution y(t) is said to be oscillatory if for every T ＞ 0 there exists
＞ T such that y(
) = 0. Let F be the class of solutions of (E) which are indefinitely continuable to the right, i.e. y
F implies y(t) exists as a solution to (E) on some interval of the form [t
y/,
). Equation (E) is said to be oscillatory if each solution from F is oscillatory.(omitted)
9
A NOTE ON NOETHERIAN AND ARTINIAN BCK-ALGEBRAS
Ahn, Sun-Shin ; Kim, Hee-Sik ;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 61~65
Abstract
In this paper we introduce the notion of Artinian and obtain some properties of Artinian and Noetherian BCK-algebras.
10
이상치가 존재하는 시계열모형 설정에 관한 연구
;;
;
The Pure and Applied Mathematics, volume 2, issue 1, 1995, Pages 67~82
Abstract