• 한국수학교육학회지시리즈B:순수및응용수학
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• 제14권1호
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• pp.37-48
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• 2007

In this paper, we introduce and study a class of generalized multivalued quasivariational inclusions for fuzzy mappings, and establish its equivalence with a class of fuzzy fixed-point problems by using the resolvent operator technique. We suggest a new iterative algorithm for the generalized multivalued quasivariational inclusions. Further, we establish a few existence results of solutions for the generalized multivalued quasivariational inclusions involving $F_r$-relaxed Lipschitz and $F_r$-strongly monotone mappings, and discuss the convergence criteria for the algorithm.

• 대한수학회보
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• 제53권1호
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• pp.195-204
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• 2016

We prove, in this note, that a Zabavsky ring R is an elementary divisor ring if and only if R is a $B{\acute{e}}zout$ ring. Many known results are thereby generalized to much wider class of rings, e.g. [4, Theorem 14], [7, Theorem 4], [9, Theorem 1.2.14], [11, Theorem 4] and [12, Theorem 7].

• 대한수학회보
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• 제49권6호
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• pp.1193-1198
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• 2012

By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability of the Cohen-Grossberg neural network models. The condition contains and improves some of the previous results in the earlier references.

• 대한수학회보
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• 제54권1호
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• pp.17-28
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• 2017

In this paper, we deal with a class of mean-field backward stochastic differential equations (BSDEs) related to finite state, continuous time Markov chains. We obtain the existence and uniqueness theorem and a comparison theorem for solutions of one-dimensional mean-field BSDEs under Lipschitz condition.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제10권1호
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• pp.71-78
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• 2006

Gifted education has been becoming a focus of every field in Chinese society as a special educational mode, since Special Class for the Gifted Youth in the University of Science and Technology of China began to enroll students. In this paper we first introduce the developing procedure of the gifted education in China, and then recommend and analyze the characteristics of a successful gifted educational base in China. At length, we probe into the problems that exist in process of carrying on the gifted education in China for reference.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.103-117
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• 2011

By using an important lemma, some analysis techniques and Lyapunov functional method, we establish the sufficient conditions of the existence of equilibrium solution of a class of BAM neural network with impulses and distributed delays. Finally, applications and an example are given to illustrate the effectiveness of the main results.

• 대한수학회보
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• 제57권1호
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• pp.133-138
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• 2020

It is shown that each sequence lying sufficiently close in the hyperbolic sense to a Q^#_p-sequence for a meromorphic function f in the unit disc is also a Q^#_p-sequence for f.

• 대한수학회논문집
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• 제20권2호
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• pp.311-319
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• 2005

In this paper we introduce a new class of parametric nonlinear implicit quasivariational inclusions and obtain some results about the existence and sensitivity analysis of solutions for this kind of quasivariational inclusions.

• 대한수학회논문집
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• 제26권2호
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• pp.321-338
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• 2011

In this paper, a class of delayed epidemic model with diffusion is investigated. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulation are also carried out to support our analytical findings. Finally, biological explanations and main conclusions are given.

• 구강회복응용과학지
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• 제40권2호
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• pp.91-99
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• 2024

골격성 3급 무치악 환자의 경우 총의치 제작 시 잔존치조제 관계를 고려하여 교차교합을 형성해 줌으로써 의치의 안정을 얻을 수 있다. 골격성 3급 악간관계에서 전치부를 정상교합 관계로 형성하는 것은 전방 캔틸레버를 가중시켜 의치의 안정을 저하시킬 수 있다. 하지만, 환자들은 총의치를 사용할 때 기능적인 면 뿐 아니라 심미적인 면 또한 중요시한다. 전치부 인공치들이 어떻게 배열되느냐에 따라 총의치의 심미성이 좌우되어, 골격성 3급 악간관계를 갖는 무치악 환자에서 정상교합이나 절단교합을 활용한 총의치 제작 증례가 보고되고 있다. 본 증례에서는 3급 악간관계를 갖는 무치악 환자에게 상악 전치부에 중립대를 고려하여 전치부 절단교합을 형성하여 의치를 제작하였고, 우수한 심미적, 기능적 결과를 얻었다.