• 대한수학회지
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• 제44권3호
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• pp.673-682
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• 2007

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x'+f(x'(t))+g(t,\;x(t-\tau(t)))=p(t)$.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.639-651
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• 2009

In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

• Journal of Information Technology Applications and Management
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• 제13권3호
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• pp.145-179
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• 2006

The measurement of informatization program effectiveness continues to be a central concern of both academics and practitioners. However, most studies of it have been inclined too heavily toward testing validity and reliability of evaluation measure to strengthen the theoretical rigor. Drawbacks of this approach have been pointed out as being unsuitable for evaluating the effectiveness of informatization program due to lack of practical relevance. The paper comprises four sections to solve the problem. 1) Through literature review of theoretical conceptual models in IS effectiveness and the domestic and foreign cases on informatization program, we establish the evaluation framework which consists of evaluation phases, 6 evaluation areas, and 22 evaluation items, and developed evaluation measures of each items. 2) Different researchers have addressed different aspects of attribute of measure. With comparing them to each other, 3 mutually exclusive criteria on coincidence analysis(usability of measurement. reliability of measurement. and validity of content) are identified. 3) Data are gathered from respondents in informatizaiton program-related organizations such as policy agency, management agency, support agency, and recipient agency. 4) The degree of coincidence of each evaluation measure are analyzed by course of an coincidence analysis procedure, which includes the reliability test, arithmetical test, and criteria validity test. The academic implication of this study is that researchers can gain an insight into the coincidence analysis to approach the problem of deciding on an indicator of performance for informatization program. There is also practical implication for applying the potential means of improving the practical relevance of conducting evaluating the informatization program.

• 대한수학회지
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• 제48권2호
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• pp.223-240
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• 2011

In this paper, the problem on periodic solutions of the bidirectional associative memory neural networks with both periodic coefficients and periodic time-varying delays is discussed. By using degree theory, inequality technique and Lyapunov functional, we establish the existence, uniqueness, and global asymptotic stability of a periodic solution. The obtained results of stability are less restrictive than previously known criteria, and the hypotheses for the boundedness and monotonicity on the activation functions are removed.

• Journal of applied mathematics & informatics
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• 제33권3_4호
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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 the Korean Society for Industrial and Applied Mathematics
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• 제25권1호
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• pp.16-25
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• 2021

This paper is studied the existence of a solution for the impulsive Cauchy problem involving the Caputo fractional derivative in Banach space by using topological structures. We based on using topological degree method and fixed point theorem with some suitable conditions. Further, some topological properties for the set of solutions are considered. Finally, an example is presented to demonstrate our results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권4호
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• pp.187-205
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• 2020

In this article, we prove coincidence point theorems for comparable 𝜓-contractive mappings in ordered non-Archimedean fuzzy metric spaces utilizing the recently established concept of 𝓣-comparability and relatively weaker order theoretic variants. With a view to show the usefulness and applicability of this work, we solve the system of ordered Fredholm integral equations as an application. In the process, this presentation generalize and improve some prominent recent results obtained in Mihet [Fuzzy Sets Syst., 159 (6), 739-744, (2008)], Altun and Mihet [ Fixed Point Theory Appl. 2010, 782680, (2010)], Alam and Imdad [Fixed Point Theory, 18(2), 415-432, (2017)] and several others in the settings of partially ordered non-Archimedean fuzzy metric spaces.

• Journal of the Optical Society of Korea
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• 제7권2호
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• pp.113-118
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• 2003

A two-photon interference experiment is presented in which an entangled pair of photons generated from a parametric down-conversion was incident on two input ports of a Mach-Zehnder interferometer. The experiment was carried out using two photon coincidence detection with two detectors at the two output ports of the interferometer. The measured coincidence counts exhibit an interference effect with visibility of 0.75 at simultaneous inputs and 0.38 at inputs with different arrival times according to the degree of photon number entanglement.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권3호
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• pp.111-131
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• 2019

We introduce (CLRg) property for hybrid pair $F:X{\times}X{\rightarrow}2^X$ and $g:X{\rightarrow}X$. We also introduce joint common limit range (JCLR) property for two hybrid pairs $F,G:X{\times}X{\rightarrow}2^X$ and $f,g:X{\rightarrow}X$. We also establish some common coupled fixed point theorems for hybrid pair of mappings under generalized (${\psi},{\theta},{\varphi}$)-contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. As an application, we study the existence and uniqueness of the solution to an integral equation. We also give an example to demonstrate the degree of validity of our hypothesis. The results we obtain generalize, extend and improve several recent results in the existing literature.

• 대한수학회논문집
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• 제27권4호
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• pp.733-743
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• 2012

In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006 (2006), Article ID 75931, Pages 1-15].