• East Asian mathematical journal
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• v.40 no.1
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• pp.85-94
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• 2024

In this paper we study the existence and multiplicity of positive solutions for p-Laplacian problems with a singular weight. Proofs mainly make use of Global Continuation Theorem and Fixed Point Index argument.

• East Asian mathematical journal
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• v.29 no.2
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• pp.137-168
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• 2013

In this paper we study activity theory and Davydov's learning activity theory. We analyze brief history of activity theory in Russia, structure of human activity, and Davydov's studies in activity theory. Especially we analyze Davydov's 1st grade mathematics textbook, and try to investigate embodiment of Davydov's learning activity theory in his mathematics textbook.

• East Asian mathematical journal
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• v.14 no.1
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• pp.77-98
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• 1998

The purpose of this paper is to introduce and study the semigroups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, we utilize these results to study the Cauchy problem for a kind of differential inclusions with accertive mappings in probabilistic normed spaces.

• East Asian mathematical journal
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• v.26 no.2
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• pp.281-299
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• 2010

In this study we develop mathematical tools for measuring the Geumgang Ratio and we call them Geumgang Ratio Calipers. Also we show a teaching method for ratio through experimental mathematics. With Geumgang Ratio Calipers students measure the Geumgang Ratio in their bodies, materials for everyday life and the Sukgulam. Through this activity, students obtained an interest in mathematics and gained a positive attitude for mathematics.

• East Asian mathematical journal
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• v.29 no.4
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• pp.393-407
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• 2013

The purpose of the study is to find out how to improve the ability of problem-solving for matriculants who have deficiency in understanding general mathematics. To figure out effective teaching method for the matriculants, we manage special lecture for basic mathematics and, analyze student assessment, course evaluation and also effects on calculus subject.

• East Asian mathematical journal
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• v.35 no.1
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• pp.59-66
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• 2019

In this paper we study implicit-explicit (IMEX) methods combined with a semi-Lagrangian scheme to evaluate the prices of fixed strike arithmetic Asian options under jump-diffusion models. An Asian option is described by a two-dimensional partial integro-differential equation (PIDE) that has no diffusion term in the arithmetic average direction. The IMEX methods with the semi-Lagrangian scheme to solve the PIDE are discretized along characteristic curves and performed without any fixed point iteration techniques at each time step. We implement numerical simulations for the prices of a European fixed strike arithmetic Asian put option under the Merton model to demonstrate the second-order convergence rate.

• East Asian mathematical journal
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• v.16 no.1
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• pp.81-87
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• 2000

Bose and Mitra obtained certain interesting tansformations of the generalized hypergeometric series by using some known summation formulas and employing suitable contour integrations in complex function theory. The authors aim at providing another transformation of the generalized hypergeometric series by making use of the technique as those of Bose and Mitra and a known summation formula, which Bose and Mitra did not use, for the Gaussian hypergeometric series.

• East Asian mathematical journal
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• v.16 no.1
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• pp.9-16
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• 2000

The authors aim at providing some identities involving the hypergeometric function via some known or presumably new formulas for the incomplete Beta and their associated functions. Some properties of the Beta and Gamma functions are also considered.

• East Asian mathematical journal
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• v.33 no.5
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• pp.559-570
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• 2017

In this paper, existence of fixed point of certain operators imbedded in simulation function has been investigated in context of a complete M-metric spaces.

• East Asian mathematical journal
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• v.33 no.2
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• pp.123-147
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• 2017

This paper discusses and searches for mathematical analysis and efficient algorithm for types of wallpapers. We study some previous classification methods, develop a systematic process, and present some examples of determining types of wallpaper through our algorithm. Through this approach, we expect to introduce a mathematical perspective on relation between real life and mathematics.