• Journal of applied mathematics & informatics
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• v.33 no.3_4
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• pp.425-434
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• 2015

In this paper, a two-point fractional boundary value problem at resonance is considered. By using the coincidence degree theory some existence results of solutions are established.

• Journal of applied mathematics & informatics
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• v.32 no.5_6
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• pp.791-805
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• 2014

In this article, we investigate third order three-point fuzzy boundary value problem to using a generalized differentiability concept. We present the new concept of solution of third order three-point fuzzy boundary value problem. Some illustrative examples are provided.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.273-287
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• 2018

The purpose of this study was to analyze changing aspect of teacher and student's value in mathematics instruction. For this purpose, teacher and student's value are analyzed through value questionnaire by four times. The results of this study revealed that although value are individual's deep decision mechanism, it could change considerably by the time. Teacher wasn't compel students to follow her value. Rather, teacher was modified instruction goal to reflect students thinking what is important in mathematics lesson. First, in case of mathematical value, rationalism, objectism, mystery were convergent each other. And control was almost unchanged and openness has been onwards and upwards. Second, in case of mathematics educational value, understanding, pleasure, terminology and application were convergent each other. However achievement was almost unchanged. Also, to teach effectively, teacher using several kinds strategy while negotiate with student's value continuously. On the basis of these results, this paper includes several implications for the future study about values in mathematics which could be the critical factor in student centered instruction.

• Journal of applied mathematics & informatics
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• v.31 no.1_2
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• pp.131-145
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• 2013

In this paper, we present an initial value technique for solving singularly perturbed differential difference equations with a boundary layer at one end point. Taylor's series is used to tackle the terms containing shift provided the shift is of small order of singular perturbation parameter and obtained a singularly perturbed boundary value problem. This singularly perturbed boundary value problem is replaced by a pair of initial value problems. Classical fourth order Runge-Kutta method is used to solve these initial value problems. The effect of small shift on the boundary layer solution in both the cases, i.e., the boundary layer on the left side as well as the right side is discussed by considering numerical experiments. Several numerical examples are solved to demonstate the applicability of the method.

• Kyungpook Mathematical Journal
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• v.45 no.3
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• pp.349-356
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• 2005

In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear differential equations.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.20 no.2
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• pp.163-174
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• 2016

In this paper, we propose an optimal choice scheme to determine the best option among comparable options whose current expectations are all the same under the condition that an investor has a confidence in the future value realization of underlying assets. For this purpose, we use a path-averaged option as our base instrument in which we calculate the time discounted value along the path and divide it by the number of time steps for a given expected path. First, we consider three European call options such as vanilla, cash-or-nothing, and asset-or-nothing as our comparable set of choice schemes. Next, we perform the experiments using historical data to prove the usefulness of our proposed scheme. The test suggests that the path-averaged option value is a good guideline to choose an optimal option.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.295-302
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• 2021

In this paper, we propose a new iterative algorithm to automatically prove the existence of solutions for a unilateral boundary value problems for second order equations.

• Kyungpook Mathematical Journal
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• v.54 no.4
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• pp.511-519
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• 2014

In this paper, we prove two uniqueness theorem on meromorphic functions sharing one value which generalize a recent result of R. S. Dyavanal [2], and on the other hand, we relax the nature of sharing value from CM to IM.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.215-222
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• 2000

A multigrid algorithm is developed for solving the one- dimensional initial boundary value problem. The numerical solutions of linear and nonlinear Burgers; equation for various initial conditions are studied. The stability conditions are derived by Von -Neumann analysis . Numerical results are presented.

• The Mathematical Education
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• v.58 no.4
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• pp.609-625
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• 2019

While research projects and reports on values in mathematics education increased in the international community over the years, little has been known about the topic and research findings in South Korea. The purpose of this study was to analyze the trends of value research in mathematics education focused on the "mathematical values" and "mathematics educational values" as defined by Bishop (1996) through a systematic review of the literature. A total of 66 research papers related to value research were analyzed in terms of the following four areas: research period, projects, target research population, and research method. The results of this study showed that the value research that was carried out was project-driven. There was an increase in both the number of papers published and countries that were studied, which encouraged the continuous expansion of the field. Furthermore, the topic of mathematics educational values was studied more than mathematical values. It was also observed that the survey method, among others, was frequently used to explore mathematics educational values of middle school teachers. Finally, research methods related to the measurement of value were gradually refined over time. Based on these results, this paper describes implications to conduct and advance value research in South Korea in various aspects, including in the field of mathematics education.