• 대한수학회논문집
• /
• 제26권1호
• /
• pp.37-49
• /
• 2011

We investigate the asymptotic equivalence for linear differential systems by means of the notions of $t_{\infty}$-similarity and strong stability.

• 대한수학회논문집
• /
• 제32권4호
• /
• pp.1009-1024
• /
• 2017

In this paper, we consider the new faster iterative scheme due to Sintunavarat and Pitea ([32]) for further investigation and we prove its strong and ${\Delta}$-convergence theorems, data dependence and stability results in hyperbolic space. Our results extend, improve and generalize several recent results in CAT(0) space and uniformly convex Banach space.

• Korean Journal of Mathematics
• /
• 제31권3호
• /
• pp.269-294
• /
• 2023

The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

• 한국강구조학회 논문집
• /
• 제15권4호통권65호
• /
• pp.457-466
• /
• 2003

본 연구의 목적은 실험적 방법을 통하여 P-${\Delta}$ 효과를 고려한 기둥항복형 강구조 골조의 안정성을 고찰하는데 있다. 이를 위하여 3개의 1층 1스팬 기둥항복형 강구조 비가새 골조에 대한 가력실험을 실시하였다. 실험의 변수로는 기둥의 강성과 축력비를 적용하였다. 실험결과 기둥의 강성 감소는 P-${\Delta}$효과를 증가시켜 골조의 안정성에 큰 영향을 미치는 것으로 나타났으며, 특히 보항복형 골조와 비교하여 최대내력 도달 이후의 내력자하 현상이 다소 급격하게 나타났다. 이것은 기둥의 강성이 낮은 기둥항복형 골조의 경우 P-${\Delta}$효과의 영향이 골조의 안정성에 미치는 영향이 증가되어 나타난 현상으로 사료된다.

• Journal of applied mathematics & informatics
• /
• 제10권1_2호
• /
• pp.261-275
• /
• 2002

Let T be a local strongly accretive operator from a real uniformly smooth Banach space X into itself. It is proved that Ishikawa iterative schemes with errors converge strongly to a unique solution of the equations T$\_$x/ = f and x + T$\_$x/ = f, respectively, and are almost T$\_$b/-stable. The related results deal with the strong convergence and almost T$\_$b/-stability of Ishikawa iterative schemes with errors for local strongly pseudocontractive operators.

• 한국표면공학회지
• /
• 제25권4호
• /
• pp.173-180
• /
• 1992

The effects of the stabilizing additives such as NaCN, 2-MBT and Thiourea on bath decom-position, plating rate and surface morphology have been studied. Bath stability was increased in the order of an additive-free bath, and NaCN-, 2-MBT-, and Thiourea-stabilized baths. The sta-bilizing effects may be attributed to the stability of Cu(II) -complexes. The plating rate is the re-verse order of the bath stability. Accelerative effect of 2-MBT in proper quantity(0.3mg/$\ell$) may be explained by visualizing it absorbed through benzene ring or sulfur atom on portions of the sub-strates. The strong bond of the complexing part of the molecule to nearby chelated copper ions would tend to accelerate plating by making it easier for the Cu2+ -ligand bond to be broken. Sur-face morphologies of copper deposits depend on the bath additives. Electroless copper deposits from the 2-MBT stabilized baths are finer than the deposits from the NaCN- and Thiourea- stabi-lized baths due to the strong adsorption on the substrates.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제27권1호
• /
• pp.61-70
• /
• 2020

In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the M_J-contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].

• 한국철도학회:학술대회논문집
• /
• 한국철도학회 1998년도 창립기념 춘계학술대회 논문집
• /
• pp.510-516
• /
• 1998

Dynamic stability of a high speed train is very important. This paper presents a dynamic stability analysis of K-TGV using Vampire Program. The analysis of stability on this paper is performed in condition of track irregularity, curved track and strong gust. The critical speed of K-TGV is 140m1s, and it is stable when runs on 7000R(cant 150mm) curved track and on linear track with the body exerted 101kN lateral impulse force.

• 해양환경안전학회지
• /
• 제4권2호
• /
• pp.53-62
• /
• 1998

International Maritime Organizatin(IMO) has been chosen some of agreements for regulating the international stability criteria of fishing vessels and recommended that each goverment adopts theirs into the domestic law. As a result, 77/93 Fishing Safety Agreement was ratified. Among the above agreement, contents of stability was not only applied to domestic law, but also strenghten considerably compared with existing stability criteria. And even if the calculation guide of stability with recommendations was regualted, Analysis of stability on domestic fishing vessels never have been used according to such a caculation method. Moreover, the caculation of stability criteria caused by strong wind, rolling effect and deck inflow was not considered in the existing basic design program. Therefore, the development of stability criteria program available for such a caculation has been of vital impotance. This research has developed a stability criteria program under 77/93 Fishing Safety Agreement. Also through development of stability criteria program, the stability performance of fishing vessel with 69ton stow-nesting was evaluated.

• 한국대기환경학회지
• /
• 제8권2호
• /
• pp.138-145
• /
• 1992

Dependence of the standard deviation of wind direction fluctuations, ${\sigma}_{\theta}$, on atmospheric stability, averaging time and topography were analysed with the data measured at three sites, Youngjongdo beach of the Yellow Sea, Chuncheon basin and Doam-Dam valley. The results show that the mean value of ${\sigma}_{\theta}$ is large in complex terrain, the Doam-Dam site. It is notable that the large value of ${\sigma}_{\theta}$ at night is associated with the low wind speed and the strong stable condition. In order to study the long-period fluctuations of the wind direction, ${\sigma}_{\theta}$ for longer than 10 minutes averaging time was further analysed using the data obtained at the Chuncheon basin. At the averaging time shorter than 60 minutes, larger ${\sigma}_{\theta}$ is associated with longer averaging time in the strong stable condition. However, ${\sigma}_{\theta}$ was not affected significantly by wind speed and averaging time in neutral conditions. The results of the spectrum analysis for the time series data of wind direction showed that low-frequency fluctuations ranging from 10 to 60 minutes were dominated at the Chuncheon basin in strong stable condition.