• East Asian mathematical journal
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• 제17권1호
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• pp.71-85
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• 2001

The strong convergences of solutions to a nonlinear Volterra equation are studied in Banach space. As an application, a nonlinear heat flow in a homogeneous bar of unit length of a material with memory is investigated.

• 대한수학회논문집
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• 제11권3호
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• pp.855-865
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• 1996

In this paper, we establish the weak convergences of processes occurring in a generalized Curie-Weiss model and its dual.

• Korean Journal of Mathematics
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• 제5권1호
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• pp.1-8
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• 1997

In this note, we study on fuzzy uniform convergences of sequences of fuzzy numbers, and sequences of fuzzy functions.

• 한국경영과학회지
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• 제20권2호
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• pp.125-137
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• 1995

This paper provides a locally convergent algorithm and a globally convergent algorithm for a variational inequality problem over convex polyhedral. The algorithm are based on the B (ouligand)-differentiability of the solution of a nonsmooth equation derived from the variational in-equality problem. Convergences of the algorithms are achieved by the results of Pang[3].

• 호남수학학술지
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• 제26권3호
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• pp.287-298
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• 2004

In this paper we derive complete convergences for weighted sums of asymptotically almost negatively associated random variables.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.379-384
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• 2003

In this paper, we obtain a topology $\tau\delta$ on X. From this topology, we obtain some characterizations of if-closed spaces.

• 호남수학학술지
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• 제37권3호
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• pp.325-334
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• 2015

In this paper we obtain complete convergences for weighted sums of negatively superadditive dependent random variables. These results generalize the corresponding ones for negatively associated random variables.

• 터널과지하공간
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• 제14권5호
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• pp.381-390
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• 2004

본 연구에서는 터널간 이격거리, 지반종류, 하중조건 등이 서로 다른 11가지 쌍굴터널 모형에 대한 축소모형실험을 통하여 터널 주변지반의 변형거동을 조사하였다. 이를 위해 모래, 석고, 물의 중량비를 달리한 모형재료에 대한 물성 실험을 통해 모형재료의 특성을 연구하였다. 쌍굴터널 사이의 이격거리가 좁은 모형일수록 낮은 압력 수준에서 균열이 개시되었고 필러의 spatting현상도 잘 발달하였으며 터널의 내공변형량도 증가하였다. 경암모형은 연암 모형에 비해 평균 50% 이상 큰 하중에서 균열이 개시되었고 동일 하중하에서 내공변형량도 2배정도 작게 나타났다. 모형터널의 파괴 및 변형양상은 측압 하중조건에 따라 매우 상이하게 나타났으며, FLAC을 사용한 수치해석 결과는 모형실험의 결과와 정성적으로 부합하였다.

• 대한수학회지
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• 제35권3호
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• pp.765-782
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• 1998

The purpose of this paper is to give convergence theorems both for closed convex set valued and relative fuzzy valued martingales, and sub- and super- martingales. These kinds of martingales, sub- and super-martingales are the extension of classical real valued martingales, sub- and super-martingales. Here we compare two kinds of convergences, in the Hausdorff metric and in the Kuratowski-Mosco sense. We also introduce a new convergence for the fuzzy valued case in the graph sense and obtain convergence theorems.

• 대한수학회논문집
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• 제12권3호
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• pp.813-827
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• 1997

Multigrid methods for two first-order system least squares (FOSLS) using bilinear finite elements are developed for the pure traction problem of planar linear elasticity. They are two-stage algorithms that first solve for the gradients of displacement, then for the displacement itself. In this paper, concentration is given on solving for the gradients of displacement only. Numerical results show that the convergences are uniform even as the material becomes nearly incompressible. Computations for convergence rates are included.