• Journal of the Korean Mathematical Society
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• v.51 no.6
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• pp.1123-1139
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• 2014

In this work, we investigate the existence of the extremal solutions for a class of fractional partial differential equations with order 1 < ${\alpha}$ < 2 by upper and lower solution method. Using the theory of Hausdorff measure of noncompactness, a series of results about the solutions to such differential equations is obtained.

• Journal of applied mathematics & informatics
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• v.9 no.2
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• pp.717-730
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• 2002

In this paper we use measure theory to solve a wide range of the nonlinear programming problems. First, we transform a nonlinear programming problem to a classical optimal control problem with no restriction on states and controls. The new problem is modified into one consisting of the minimization of a special linear functional over a set of Radon measures; then we obtain an optimal measure corresponding to functional problem which is then approximated by a finite combination of atomic measures and the problem converted approximately to a finite-dimensional linear programming. Then by the solution of the linear programming problem we obtain the approximate optimal control and then, by the solution of the latter problem we obtain an approximate solution for the original problem. Furthermore, we obtain the path from the initial point to the admissible solution.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.183-193
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• 2000

In this paper we use measure theory to solve a wide range of second-order boundary value ordinary differential equations. First, we transform the problem to a first order system of ordinary differential equations(ODE's)and then define an optimization problem related to it. The new problem in modified into one consisting of the minimization of a linear functional over a set of Radon measures; the optimal measure is then approximated by a finite combination of atomic measures and the problem converted approximatly to a finite-dimensional linear programming problem. The solution to this problem is used to construct the approximate solution of the original problem. Finally we get the error functional E(we define in this paper) for the approximate solution of the ODE's problem.

• Journal of radiological science and technology
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• v.2 no.1
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• pp.89-93
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• 1979

Fricke dosimeter solution in chemical dosimeters consists of Ferrous sulfate, Sodium chloride and Sulfuric acid. Authors made a new experiment on the characteristics of dosimeter solution with Ammonium Thiocyanate and the results obtained were as follows; 1. The chemical oxidation response after irradiation was very rapid(within fifteen minutes). 2. A preventive measure of the spontaneous oxidation as time goes on was possible to use 0.1 mM instead of 1mM Ferrous sulfate solution. 3. 477nm in wavelength of spectrophotometer was most ideal to measure optical density in this solution

• Advances in concrete construction
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• v.9 no.3
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• pp.257-265
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• 2020

Many failures of concrete structures are related to steel corrosion. For this reason, it is important to recognize how the carbonation can affect the durability of reinforced concrete structures. The repeatability of the carbonation depth measure in a specimen of concrete sprayed with a phenolphthalein solution is consistently low whereby it is necessary to have an impartial method to measure the carbonation depth. This study presents two automatic algorithms to detect the non-carbonated zone in concrete specimens. The first algorithm is based solely on digital processing image (DPI), mainly morphological and threshold techniques. The second algorithm is based on artificial intelligence, more specifically on an array of Kohonen networks, but also using some DPI techniques to refine the results. Moreover, another algorithm was developed with the purpose of measure the carbonation depth from the image obtained previously.

• Journal of applied mathematics & informatics
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• v.7 no.2
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• pp.453-465
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• 2000

In this paper, a new method for finding the approximate solution of a second order nonlinear partial differential equation is introduced. In this method the problem is transformed to an equivalent optimization problem. them , by considering it as a distributed parameter control system the theory of measure is used for obtaining the approximate solution of the original problem.

• Proceedings of the KOR-KST Conference
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• 1998.09a
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• pp.79-90
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• 1998

The current increases in fuel price contribute to reducing level of congestion and air pollution. In this paper, this measure is compared with the congestion toll charge and the 10 'buje'(a $10\%$ demand control measure of registered vehicle i.e. each vehicle can not operate when its plate's last digit matches the last digit of the date). The purpose of our study is to give a priority order to various measures and to propose the win-win solution of Seoul for policy makers. We recommend the congestion toll charge coupled with some metering measures is the win-win solution for Seoul. Also we conclude a priority order such as metering; congestion toll charge; increase in parking fee; increase in fuel price; the 10 'buje' must be acceptable for implementation. Various ITS subsystems needed to support the proposed win-win solution are identified and field operational tests for them are introduced in this paper.

• Proceedings of the KIPE Conference
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• 2017.07a
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• pp.596-597
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• 2017

For General Purpose Inverter dedicated in Motor drive, this market is blood market due to low market price. So, developing engineer must consider the cost reduction plan and do action. This inverter always needs to measure current and shunt solution can be one of cost reduction solution.

• Journal of Sensor Science and Technology
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• v.19 no.1
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• pp.36-42
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• 2010

This paper describes a multi channel measurement system which can measure the cellular respiration level in a solution containing cells by using a Clark-type sensor with the solution temperature control unit. The Clark-type sensor can measure the cellular respiration level in the solution because it can measure the reduction current depending on the dissolved oxygen level in the solution. This measurement system was maintained the temperature within ${\pm}0.1^{\circ}C$ of the setting temperature value by on/off control method in order to measure the precise cellular respiration level. The measurement system showed that the applied voltage to the working electrode was very stable(-0.8 V$\pm$ 0.0071 V) by using proportional control method. From the current measurement, the response time and the linearity correlation coefficient were 25 sec and 0.94, respectively, which are very close to the results of the commercial product. Using this system and the fabricated Clarktype sensor, the average ratio of the uncoupled OCR(oxygen consumption rate) to the coupled OCR was 1.35 and this is almost the same as that obtained from a commercial systems.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.315-328
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• 2005

In this paper we present a new method for designing a nozzle. In fact the problem is to find the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the boundary condition is defined over an unspecified domain. By an embedding process, the problem is first transformed to a new shape-measure problem, and then this new problem is replaced by another in which we seek to minimize a linear form over a subset of linear equalities. This minimization is global, and the theory allows us to develop a computational method to find the solution by a finite-dimensional linear programming problem.