• Journal of Platform Technology
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• v.10 no.3
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• pp.3-10
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• 2022

The effectiveness of an innovative skin treatment system that delivers an anti-aging solution deep into the skin without invasiveness and pain using a non-invasive air technology was investigated. In addition, an effective change using a non-invasive technique for delivering a solution for skin improvement was confirmed. The equipment named Cellre Jet is an effective skin care and drug delivery equipment that instantly opens the skin epidermis by using a maximum output pressure of 6 bars and high-pressure purified oxygen of 75-90% purity to deliver various nano-sized vital substances deep into the skin, and it uses the method of precisely controlling the equipment through an 8-inch digital touch display to accurately dispense the prescribed dosage. In this study, changes in skin condition were analyzed using this equipment and nano ampoules on subjects with actual skin problems through a related comparison and effectiveness judgment program. Through this study, skin care and drug delivery are possible, which will contribute to verifying the effectiveness of this non-invasive drug delivery equipment in the future, and is expected to establish the systematic effect in observing and studying changes in the skin.

• Kyungpook Mathematical Journal
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• v.62 no.4
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• pp.699-713
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• 2022

This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reduction scheme called half-sweep finite differences. The local truncation error and the analysis of the stability of the scheme are discussed. The proposed iterative method, which uses explicit group technique and modified successive over-relaxation, is formulated systematically. This method improves the efficiency of obtaining the solution in terms of total iterations and program elapsed time. The accuracy of the proposed method, which is measured using the magnitude of absolute errors, is promising. Numerical convergence tests of the proposed method are also provided. Some numerical experiments are delivered using initial-boundary value problems to show the superiority of the proposed method against some existing numerical methods.

• 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.

• Communications of the Korean Mathematical Society
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• v.22 no.1
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• pp.53-64
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• 2007

In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 2006.07a
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• pp.724-724
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• 2006

• East Asian mathematical journal
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• v.30 no.5
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• pp.609-616
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• 2014

In this paper we consider hyperbolic equations related to the p-Laplacian with a nonsmooth kernel. By exploiting a suitable implicit time-discretization technique we obtain the existence of global strong solution.

• East Asian mathematical journal
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• v.26 no.3
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• pp.403-413
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• 2010

In this paper, we consider a doubly nonlinear parabolic equation related to the Leray-Lions operator with Dirichlet boundary condition and initial data given. By exploiting a suitable implicit time-discretization technique, we obtain the existence of global strong solution.

• Journal of the korean Society of Automotive Engineers
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• v.4 no.2
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• pp.79-85
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• 1982

Computer codes on two numerical optimization methods-Sequentially Unconstrained Minimization Technique (SUMT) and Gradient Projection Method-are constructed and tested with several test problems. Design formulation of tension - compression coil spring is set up and the solution is obtained. Consequently, the feature, the advantage and the limitation of these methods, made clear through the tests, are discussed.

• East Asian mathematical journal
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• v.29 no.1
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• pp.69-82
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• 2013

In this paper we consider a doubly nonlinear Volterra equation related to the Leray-Lions with a nonsmooth kernel. By exploiting a suitable implicit time-discretization technique we obtain the existence of global strong solution.

• 전기의세계
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• v.27 no.6
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• pp.58-62
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• 1978

The problem of optimal shutdown control of nuclear reactor having nonlinear dynamics is considered. Since the problem, being a bounded state space problem, is difficult to solve by conventional analytic methods such as Pontryagin's maximum principle, it is approached directly by the quasilinearization technique, and solved numerically. The solution obtained in this manner proves to be an improvement over the previous results.