• Bulletin of the Korean Mathematical Society
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• v.57 no.3
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• pp.597-605
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• 2020

In this article, we discuss the global uniqueness problem for the Radon transform. It is not sufficient for the global uniqueness for the Radon transform to assume that the Radon transform Rf for a function f absolutely converges on any hyperplane. It is also known that it is sufficient to assume that f ∈ L¹ for the global uniqueness to hold. There exists a big gap between the above two conditions, to fill which is our purpose in this paper. We shall give a better sufficient condition for the global uniqueness of the Radon transform.

• Communications of the Korean Mathematical Society
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• v.17 no.4
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• pp.593-606
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• 2002

We prove local existence and global uniqueness in one dimensional nonlinear hyperbolic inverse problems. The basic key for showing the local existence of inverse solution is the principle of contracted mapping. As an application, we consider a hyperbolic inverse problem with damping term.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.543-553
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• 2008

This paper is concerned with the optimal control problem of global press for an adsorbate-induced phase transition model. That is, we show the existence of the optimal control and derive the optimality conditions. Moreover, we obtain the uniqueness of the optimal control.

• Journal of Distribution Science
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• v.11 no.11
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• pp.49-55
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• 2013

Purpose - This study examined the effects of susceptibility to global consumer culture (SGCC) on the brand attitude of consumers of the global SPA brand in South Korea. Research Design, Data, and Methodology -Questionnaires were used, and the sample that was extracted by the convenience sampling method comprised 703 males and females, aged 20-36. The data were analyzed with SPSS 16.0 and Amos 5.0 for frequency analysis, exploratory factor analysis, confirmatory factor analysis, reliability analysis, correlation analysis, and structural equation modeling analysis. Results - First, conformity to consumption trends was found to have a significant effect on all four variables of SPA brand attitude (brand favorability, uniqueness, ethicality, and economic utility). Second, quality perception was found to have a significant effect on brand favorability, uniqueness, ethicality, and economic utility. Third, social prestige was found to have a positive effect on uniqueness. Conclusions - The results show that consumers' susceptibility to global culture is a significant factor in their attitude to the global SPA brand. Therefore, it would be more effective if the global SPA brand develops recognition among consumers that its products play a role in sharing new trends and global lifestyles.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.327-344
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• 2005

The first part of the paper deals with a brief introduction of the plant-herbivore model system along with deterministic analysis of local stability and Hopf-bifurcations. The second part consists of stability analysis of the limit cycle arising from Hopf-bifurcation and uniqueness of limit cycle. The third part deals with the study of global stability of the model system under consideration.

• The Research Journal of the Costume Culture
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• v.20 no.4
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• pp.573-593
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• 2012

The purpose of this study was to investigate consumers' buying intention toward fashion goods through global internet shopping malls. This research employed Technology Acceptance Model (TAM) as a theoretical framework and was extended to introduce fashion innovativeness, clothing involvement, consumers' needs for uniqueness, computer self-efficacy as external factors. A total of 381 copies of questionnaires were collected online. The subjects of this study were women. The collected date were analysed by factor analysis, Cronbach's alpha, correlation and path analysis. The results indicated that fashion innovativeness, clothing involvement and consumers' needs for uniqueness had a significant positive affect on perceived usefulness. Consumers' needs for uniqueness and computer self-efficacy had a significant positive affect on perceived ease of use. Perceived usefulness and perceived ease of use were found to influence buying intention toward fashion goods through global internet shopping malls. The results of this study also suggested that perceived ease of use was actually a causal antecedent to perceived usefulness. This study reveled that employing TAM to investigate the buying intention toward fashion goods through global internet shopping malls was appropriate. This study also provides empirical analysis that can serve as a guide for marketers of the fashion industry in activating global internet shopping malls.

• Communications of the Korean Mathematical Society
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• v.16 no.3
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• pp.405-413
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• 2001

The inverse boundary value problem for the steady state heat equation with convection term is considered in a simply connected bounded domain with smooth boundary. Taking the Dirichlet to Neumann map which maps the temperature on the boundary to the that flux on the boundary as an observation data, the global uniqueness for identifying the convection term from the Dirichlet to Neumann map is proved.

• Journal of the Korean Mathematical Society
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• v.59 no.2
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• pp.279-298
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• 2022

In this paper, the existence and uniqueness for the global solution of neutral stochastic functional differential equation is investigated under the locally Lipschitz condition and the contractive condition. The implicit iterative methodology and the Lyapunov-Razumikhin theorem are used. The stability analysis for such equations is also applied. One numerical example is provided to illustrate the effectiveness of the theoretical results obtained.

• Journal of the Korean Mathematical Society
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• v.55 no.3
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• pp.531-551
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• 2018

In this paper we consider a class of nonlocal parabolic equations in bounded domains with Dirichlet boundary conditions and a new class of nonlinearities. We first prove the existence and uniqueness of weak solutions by using the compactness method. Then we study the existence and fractal dimension estimates of the global attractor for the continuous semigroup generated by the problem. We also prove the existence of stationary solutions and give a sufficient condition for the uniqueness and global exponential stability of the stationary solution. The main novelty of the obtained results is that no restriction is imposed on the upper growth of the nonlinearities.

• Journal of applied mathematics & informatics
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• v.41 no.4
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• pp.893-906
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• 2023

In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 3 reaction-diffusion systems with the total mass of the components with time. We also suppose that the nonlinear reaction term has a critical growth with respect to the gradient. The technique that we used to prove the global existence is the method of the compact semigroup.