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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 16, Issue 4 - Nov 2009
Volume 16, Issue 3 - Aug 2009
Volume 16, Issue 2 - May 2009
Volume 16, Issue 1 - Feb 2009
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1
POSITIVE SOLUTION FOR SYSTEMS OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES
Miao, Chunmei ; Ji, Dehong ; Zhao, Junfang ; Ge, Weigao ; Zhang, Jiani ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 327~344
Abstract
In this paper, we deal with the following system of nonlinear singular boundary value problems(BVPs) on time scale
where
,
,
and
> 0(i = 1, 2), f(t, y) may be singular at t = a, y = 0, and g(t, x) may be singular at t = a. The arguments are based upon a fixed-point theorem for mappings that are decreasing with respect to a cone. We also obtain the analogous existence results for the related nonlinear systems
+ f(t, y(t)) = 0,
+ g(t, x(t)) = 0,
+ f(t, y(t)) = 0,
+ g(t, x(t)) = 0, and
+ f(t, y(t)) = 0,
+ g(t, x(t)) = 0 satisfying similar boundary conditions.
2
RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACES
Deshpande, Bhavana ; Pathak, Rohit ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 345~357
Abstract
We prove a related fixed point theorem for two pairs of mappings on two intuitionistic fuzzy metric spaces. Our result is maiden in this line.
3
CHARACTERIZATIONS OF AN INNER PRODUCT SPACE BY GRAPHS
Lin, C.S. ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 359~367
Abstract
The graph of the parallelogram law is well known, which gives rise to the characterization of an inner product space among normed linear spaces [6]. In this paper we will sketch graphs of its deformations according to our previous paper [7, Theorem 3.1 and 3.2]; each one of which characterizes an inner product space among normed linear spaces. Consequently, the graphs of some classical characterizations of an inner product space follow easily.
4
INTEGRAL TRANSFORMS AND INVERSE INTEGRAL TRANSFORMS WITH RELATED TOPICS ON FUNCTION SPACE I
Chang, Seung-Jun ; Chung, Hyun-Soo ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 369~382
Abstract
In this paper we establish various relationships among the generalized integral transform, the generalized convolution product and the first variation for functionals in a Banach algebra S(
[0, T]) introduced by Chang and Skoug in [14]. We then derive an inverse integral transform and obtain several relationships involving inverse integral transforms.
5
P-I-OPEN MAPPINGS, P-I-CONTINUOUS MAPPINGS AND P-I-IRRESOLUTE MAPPINGS
Kim, Ji-Yoon ; Kim, Chang-Su ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 383~404
Abstract
The notions of P-I-open (closed) mappings, P-I-continuous mappings, P-I-neighborhoods, P-I-irresolute mappings and I-irresolute mappings are introduced. Relations between P-I-open (closed) mappings and I-open (closed) mappings are given. Characterizations of P-I-open (closed) mappings are provided. Relations between a P-I-continuous mapping and an I-continuous mapping are discussed, and characterizations of a P-I-continuous mapping are considered. Conditions for a mapping to be an I-irresolute mapping (resp. P-I-irresolute mapping) are provided.
6
CONVERGENCE THEOREMS FOR NEWTON'S AND MODIFIED NEWTON'S METHODS
Argyros, Ioannis K. ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 405~416
Abstract
In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [5]-[7]. Then, we combine Newton's with the modified Newton's method to approximate locally unique solutions of operator equations. Finer error estimates, a larger convergence domain, and a more precise information on the location of the solution are obtained under the same or weaker hypotheses than before [5]-[7]. The results obtained here improve our earlier ones reported in [4]. Numerical examples are also provided.
7
TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN
Hong, Seong-Kowan ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 417~425
Abstract
In this paper we show that spheres in
and pseudohyperbolic spaces in
are the only totally umbilic spacelike surfaces of type (I) in
.
8
STATIONARY GLOBAL DYNAMICS OF LOCAL MARKETS WITH QUADRATIC SUPPLIES
Kim, Yong-In ;
The Pure and Applied Mathematics, volume 16, issue 4, 2009, Pages 427~441
Abstract
The method of Lattice Dynamical System is used to establish a global model on an infinite chain of many local markets interacting each other through a diffusion of prices between them. This global model extends the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution. We assume that each local market has linear decreasing demands and quadratic supplies with naive predictors, and investigate the stationary behaviors of global price dynamics and show that their dynamics are conjugate to those of
maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.