• 한국수학사학회지
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• 제25권1호
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• pp.57-70
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• 2012

<묵경(墨经)> 에 나타난 초보적인 형식논리와 수학적 개념 등을 살펴보면서 그 속에 내포된 고대 중국인들의 수리사상(數理思想)을 조명해보고, 이를 통해 <묵경(墨经)> 의 수학적 의의와 가치를 알아보고자 한다.

• 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.

• 대한수학회지
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• 제47권3호
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• pp.573-583
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• 2010

In this paper, the existence of anti-periodic solutions for higher-order nonlinear ordinary differential equations is studied by using degree theory and some known results are improved to some extent.

• 대한수학회지
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• 제48권6호
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• pp.1153-1170
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• 2011

In this paper, spatial decay estimates for the time dependent compressible viscous isentropic flow in a semi-infinite three dimensional pipe are derived. An upper bound for the total energy in terms of the initial boundary data is obtained as well. The results established in this paper may be viewed as a version of Saint-Venant's principle in transient compressible Navier-Stokes flow.

• 대한수학회지
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• 제59권1호
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• pp.53-69
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• 2022

In this paper, we are concerned with a class of mixed Hessian curvature equations with non-degeneration. By using the maximum principle and constructing an auxiliary function, we obtain the interior gradient estimate of (k - 1)-admissible solutions.

• 대한수학회지
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• 제47권6호
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• pp.1123-1135
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• 2010

In this paper, we consider the eigenvalue problem of biharmonic equation with Hardy potential. We improve the results of references by introducing a new Hilbert space.

• 대한수학회보
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• 제49권3호
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• pp.455-463
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• 2012

In this paper, by using degree theory, we consider a kind of higher-order Li$\acute{e}$enard type $p$-Laplacian differential equation as follows $$({\phi}_p(x^{(m)}))^{(m)}+f(x)x^{\prime}+g(t,x)=e(t)$$. Some new results on the existence of anti-periodic solutions for above equation are obtained.

• 대한수학회보
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• 제34권3호
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• pp.491-493
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• 1997

This is to clarify that Taskovic's extension of the Brouwer fixed point theorem is incorrectly stated.

• 한국수학사학회지
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• 제23권2호
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• pp.75-87
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• 2010

주역(周易)(Zhou yi) 은 살아 움직이는 우주(宇宙)를 설명한 수리교과서(數理敎科書)라 할 수 있다. 고대중국인(古代中國人)들은 인간(人間)과 우주(宇宙)사이의 상응(相應)을 일찍부터 하도(河圖)와 낙서(洛書), 그리고 팔괘(八卦)의 주역(周易)으로 설명(說明)하고자 하였다. 본고는 이러한 주역(周易)에 나타난 중국고대(中國古代)의 수리사상(數理思想)을 연구(硏究)하고자한다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권1호
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• pp.43-55
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• 2011

We here investigate the Liouville type theorems of slow diffusion differential inequality and its coupled system with variable coefficients in cone. First, we give the definition of global weak solution, and then we establish the universal estimate (does not depend on the initial value) of solution by constructing test function. At last, we obtain the nonexistence of non-negative non-trivial global weak solution within the appropriate critical exponent. The main feature of this method is that we need not use comparison theorem or the maximum principle.