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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Myung Hyun Cho
Volume & Issues
Volume 30, Issue 4 - Dec 2008
Volume 30, Issue 3 - Sep 2008
Volume 30, Issue 2 - Jun 2008
Volume 30, Issue 1 - Mar 2008
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1
CONVERGENCE PROPERTIES OF PREDATOR-PREY SYSTEMS WITH FUNCTIONAL RESPONSE
Shim, Seong-A ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 411~423
DOI : 10.5831/HMJ.2008.30.3.411
Abstract
In the field of population dynamics and chemical reaction the possibility or the existence of spatially and temporally nonhomogeneous solutions is a very important problem. For last 50 years or so there have been many results on the pattern formation of chemical reaction systems studying reaction systems with or without diffusions to explain instabilities and nonhomogeneous states arising in biological situations. In this paper we study time-dependent properties of a predator-prey system with functional response and give sufficient conditions that guarantee the existence of stable limit cycles.
2
p-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 425~433
DOI : 10.5831/HMJ.2008.30.3.425
Abstract
In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function,
-convex function, pI-convex function and
-convex function.
3
ON WEAKLY γ-CONTINUOUS FUNCTIONS
Min, Won-Keun ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 435~442
DOI : 10.5831/HMJ.2008.30.3.435
Abstract
We introduce the concepts of weakly
-continuity, strongly
-closed graph and
spaces. And we study some characterizations and properties or such concepts.
4
EXISTENCE OF SIX SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEM
Jung, Tack-Sun ; Choi, Q-Heung ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 443~468
DOI : 10.5831/HMJ.2008.30.3.443
Abstract
We give a theorem of existence of six nontrivial solutions of the nonlinear Hamiltonian system
=
. For the proof of the theorem we use the critical point theory induced from the limit relative category of the torus with three holes and the finite dimensional reduction method.
5
BOUNDARY CONTROL OF CHEMOTAXIS REACTION DIFFUSION SYSTEM
Ryu, Sang-Uk ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 469~478
DOI : 10.5831/HMJ.2008.30.3.469
Abstract
This paper is concerned with the boundary control of the chemotaxis reaction diffusion system. That is, we show the existence of the solution for the chemotaxis system with the boundary control and the existence of the optimal boundary control.
6
ON THE HAJECK-RENYI-TYPE INEQUALITY FOR
-MIXING SEQUENCES
Choi, Jeong-Yeol ; Baek, Jong-Il ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 479~486
DOI : 10.5831/HMJ.2008.30.3.479
Abstract
Let {
, F, P} be a probability space and {
} be a sequence of random variables defined on it. We study the Hajeck-Renyi-type inequality for p..mixing random variable sequences and obtain the strong law of large numbers by using this inequality. We also consider the strong law of large numbers for weighted sums of
-mixing sequences.
7
EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION
Jin, Dae-Ho ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 487~504
DOI : 10.5831/HMJ.2008.30.3.487
Abstract
In this paper we study the geometry of codimension 2 screen conformal Einstein half lightiike submanifolds M of a semi-Riemannian manifold
of constant curvature c, with a Killing co-screen distribution on
. The main result is a classification theorem for screen homothetic Einstein half lightlike submanifold of Lorentzian space forms.
8
POSITIVE IMPLICATIVE SMARANDACHE BCC-IDEALS IN SMARANDACHE BCC-ALGEBRAS
Jun, Young-Bae ; Song, Seok-Zun ; Kang, Kyung-Tae ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 505~512
DOI : 10.5831/HMJ.2008.30.3.505
Abstract
The notion of positive implicative Smarandache BCC-ideals is introduced, and related properties are investigated. Relations between Smarandache BCC-ideals and positive implicative Smarandache BCC-ideals are discussed. The extension property of a positive implicative Smarandache BCC-ideals is given.
9
GENERALIZED LOCAL COHOMOLOGY AND MATLIS DUALITY
Abbasi, Ahmad ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 513~519
DOI : 10.5831/HMJ.2008.30.3.513
Abstract
Let (R, m) be a Noetherian local ring with maximal ideal m, E :=
(R/m) and let I be an ideal of R. Let M and N be finitely generated R-modules. It is shown that
where grade(I, N) = n =
(I, N). We also show that for n = grade(I, R), one has
.
10
QUALITATIVE ANALYSIS OF A LOTKA-VOLTERRA TYPE IMPULSIVE PREDATOR-PREY SYSTEM WITH SEASONAL EFFECTS
Baek, Hun-Ki ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 521~533
DOI : 10.5831/HMJ.2008.30.3.521
Abstract
We investigate a periodically forced Lotka-Volterra type predator-prey system with impulsive perturbations - seasonal effects on the prey, periodic releasing of natural enemies(predator) and spraying pesticide at the same fixed times. We show that the solutions of the system are bounded using the comparison theorems and find conditions for the stability of a stable prey-free solution and for the permanence of the system.
11
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM USED BY THE ζ-PARALLEL STRUCTURE JACOBI OPERATOR
Kim, Nam-Gil ; Ki, U-Hang ; Kurihara, Hiroyuki ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 535~550
DOI : 10.5831/HMJ.2008.30.3.535
Abstract
Let M be a real hypersurface of a complex space form with almost contact metric structure
. In this paper, we study real hypersurfaces in a complex space form whose structure Jacobi operator
is
-parallel. In particular, we prove that the condition
characterize the homogeneous real hypersurfaces of type A in a complex: projective space
or a complex hyperbolic space
when
is constant and not equal to -c/24 on M, where c is a constant holomorphic sectional curvature of a complex space form.
12
PRODUCT PROPERTIES OF SINGULAR KOBAYASHI METRICS
Kim, Jong-Jin ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 551~556
DOI : 10.5831/HMJ.2008.30.3.551
Abstract
In this paper, we prove the product properties of the singular Kobayashi metrics relative to the higher order Kobayashi metric.
13
ON IVF WEAKLY CONTINUOUS MAPPINGS ON THE IVF TOPOLOGICAL SPACES
Min, Won-Keun ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 557~566
DOI : 10.5831/HMJ.2008.30.3.557
Abstract
In this paper, we introduce the concept of IVF weakly continuity and investigate some characterizations for IVF weakly continuous mappings on the interval-valued fuzzy topological spaces. We introduce and study the concepts of almost IVF compactness and nearly IVF compactness.
14
GENERALIZED STABILITIES OF CAUCHY'S GAMMA-BETA FUNCTIONAL EQUATION
Lee, Eun-Hwi ; Han, Soon-Yi ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 567~579
DOI : 10.5831/HMJ.2008.30.3.567
Abstract
We obtain generalized super stability of Cauchy's gamma-beta functional equation B(x, y) f(x + y) = f(x)f(y), where B(x, y) is the beta function and also generalize the stability in the sense of R. Ger of this equation in the following setting:
< H(x,y), where H(x,y) is a homogeneous function of dgree p(0
p < 1).
15
A STUDY OF AVERAGE ERROR BOUND OF TRAPEZOIDAL RULE
Yang, Mee-Hyea ; Hong, Bum-Il ;
Honam Mathematical Journal, volume 30, issue 3, 2008, Pages 581~587
DOI : 10.5831/HMJ.2008.30.3.581
Abstract
In this paper, to have a better a posteriori error bound of the average case error between the true value of I(f) and the Trapezoidal rule on subintervals using zero mean-Gaussian, we prove that a new average error between the difference of the true value of I(f) from the composite Trapezoidal rule and that of the composite Trapezoidal rule from the simple Trapezoidal rule is bounded by
through direct computation of constants
for r
2 under the assumption that we have subintervals (for simplicity equal length h) partitioning [0, 1].