• 충청수학회지
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• 제22권3호
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• pp.375-382
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• 2009

Several common stationary point theorems for two classes of contractive type multivalued mappings in a complete bounded metric space are given. The results presented in this paper generalize and extend some known results in literature.

• Bulletin of the Korean Chemical Society
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• 제30권4호
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• pp.945-947
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• 2009

• 대한수학회보
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• 제47권2호
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• pp.251-261
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• 2010

This paper deals with a predator-prey model with Holling type III response function and cross-diffusion subject to the homogeneous Neumann boundary condition. We first give a priori estimates (positive upper and lower bounds) of positive steady states. Then the non-existence and existence results of non-constant positive steady states are given as the cross-diffusion coefficient is varied, which means that stationary patterns arise from cross-diffusion.

• 대한수학회보
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• 제57권5호
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• pp.1151-1164
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• 2020

The aim of this paper is to establish Liouville type results for the stationary MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero. Moreover, we also obtain Liouville type theorem for the case of axially symmetric MHD equations. Our results generalize previous works by Schulz [14] and Seregin-Wang [18].

• The Plant Pathology Journal
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• 제30권2호
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• pp.215-219
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• 2014

The GacS/GacA two component system regulates various traits related to the biocontrol potential of plant-associated pseudomonads. The role of the sensor kinase, GacS, differs between strains in regulation of motility. In this study, we determined how a gacS mutation changed cell morphology and motility in Pseudomonas chlororaphis O6. The gacS mutant cells were elongated in stationary-phase compared to the wild type and the complemented gacS mutant, but cells did not differ in length in logarithmic phase. The gacS mutant had a two-fold increase in the number of flagella compared with the wild type strain; flagella number was restored to that of the wild type in the complemented gacS mutant. The more highly flagellated gacS mutant cells had greater swimming motilities than that of the wild type strain. Enhanced flagella formation in the gacS mutant correlated with increased expression of three genes, fleQ, fliQ and flhF, involved in flagellar formation. Expression of these genes in the complemented gacS mutant was similar to that of the wild type. These findings show that this root-colonizing pseudomonad adjusts flagella formation and cell morphology in stationary-phase using GacS as a major regulator.

• 한국응용곤충학회지
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• 제27권4호
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• pp.200-210
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• 1988

1981년부터 '87년 7년간 전국 151개 예찰소에 유아등으로 채집한 별멸구 유살성적을 비래파별로 구분하고 일일기상도와 850mb천기도를 근거로 비래시기의 기상형채를 검토한 결과 1)벼멸구의 주비래시기는 연도에 따라 차이가 있지만 주로 7월 중.하순이었다. 2) 비래량은 7월 하순에 가까울수록 많았으며 비래지역도 넓어졌다. 3)벼멸구 비래가 있었던 시기의 기상은 전선을 동반한 저기압이 우리나라를 통과할 때(A type)가 12회로 가장 많았고, 전선과 저기압이 남해안과 제주도를 통과할 때(B type)가 5회, 전선만이 걸쳐 있을 때 (C type)기 7회, 전선과 저기압이 통과가없을 때 (D type)가 2회 기록되었다. 4) 어니 브래형테에서나 우리나라 서남지방부터 비래가 있었으며, 이 지역이 비래량도 많았다. 5)비래시기에 기상의 공통점은 850mb천기도상에서 비래원으로 추정되는 중국 남부지방으로부터 남서풍이 불어오고 있었으며(26회중 26회), 강우전선은 26회중 24회, 저기압은 26회중 17회였다. 6)이상의 결과로 벼멸구는 중국으로부터 남서기류를 따라 이동해 오면 이동하는 과정에서 낙하를 유발하는 조건(전선등)이 있을 때 지상으로 떨어지는 것으로 생각된다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.101-107
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• 2000

In this paper we establish an upper bound for the estimation error variance of a continuous stream with a stationary variogram V which is assumed to be of the r-Holder type (Lipschitzian) on [-d, d]. Functional properties for the mapping ${\xi}(t):=E[(X-X(t))^2]$, $t{\in}[0,d]$, are also given.

• 대한수학회보
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• 제35권2호
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• pp.209-225
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• 1998

In this paper we obtain sharp upper and lower bounds of small ball oprobabilities for Gaussian processes with stationary increments, whose results are essential to estabilish Chung type laws of iterated logarithm.

• 대한수학회지
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• 제36권3호
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• pp.509-525
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• 1999

In this paper we obtain sharp upper and lower bounds of samll ball and large deviation probabilities for the increments of Gaussian processes with stationary increments, whose results are essential to establish Chung type laws of iteratted logarithm.

• Journal of the Korean Statistical Society
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• 제27권1호
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• pp.57-66
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• 1998

In the analysis of time series it is an important issue to determine whether a time series under study is stationary. For the test of the stationary of the time series the Dickey-Fuller (DF) type tests have been mainly used. In this paper, we consider the regular unit root tests and seasonal unit root tests based on the generalized Durbin-Watson (DW) statistics when the errors are independent. The limiting distributions of the proposed DW-type test statistics are the functionals of standard Brownian motions. We also obtain the finite distributions and powers of the DW-type test statistics and compare the performances with the DF-type tests. It is observed that the DW-type test statistics have good behaviors against the DF-type test statistics especially in the nonzero (seasonal) mean model.