• Communications of the Korean Mathematical Society
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• v.21 no.1
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• pp.75-88
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• 2006

Wiener measure and Wiener measurability behave badly under the change of scale transformation. We express the analytic Feynman integral over $C_0(B)$ as a limit of Wiener integrals over $C_0(B)$ and establish change of scale formulas for Wiener integrals over $C_0(B)$ for some functionals.

• Bulletin of the Korean Mathematical Society
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• v.41 no.2
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• pp.283-297
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• 2004

We have obtained a simplified model for the mush under the assumption of the temperature, the solid fraction and the vertical component of the velocity, depend on upward coordinate z only. We have found solutions in the asymptotical limit and solved numerically for the model.

• Korean Journal of Mathematics
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• v.16 no.3
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• pp.335-348
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• 2008

We define Fourier-Yeh-Feynman transform and convolution product on the Yeh-Wiener space, and establish the existence of Fourier-Yeh-Feynman transform and convolution product for functionals in a Banach algebra $\mathcal{S}(Q)$. Also we obtain Parseval's relation for those functionals.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.1161-1168
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• 2008

We prove a theorem that there exists at least a solution reaching the prescribed target in autonomous differential inclusion. A weak invariance theorem is obtained from this theorem as its corollary. To deduce the conclusion, we assume that the target satisfies inward pointing condition. This condition will be given by proximal normal cone.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.1263-1272
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• 2008

Let T and S be bounded linear operators on Banach spaces X and y, respectively. A linear map A : X ${\rightarrow}$ y is said to be an intertwiner if AT - SA = 0. In this paper we study the relation between local spectral properties of T and S on the assumption of AT - SA = 0. We give some example of intertwiner with T and S.

• Journal of applied mathematics & informatics
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• v.8 no.3
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• pp.829-840
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• 2001

Generally it is not easy task whether the stable systems governed by nonlinear ordinary differential equations are asymptotically stable or not. This problem often appears in studying a collision and avoidance control problem based on the stability theory. In this paper we devoted to finding conditions that the stable system obtained from the collision and avoidance control problem is asymptotically stable.

• Journal of the Korean Chemical Society
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• v.16 no.4
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• pp.229-231
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• 1972

2, 6-Disubstituted-3-pyridazinones were synthesized from the reaction of trichloroethylideneacetone with substituted phenylhydrazines. From the reaction of trichloroethylideneacetone with ο-nitrophenylhydrazine, pyridazinone derivative was not obtained, but ${\gamma},{\gamma}$-dichloro-${\gamma}$-(o-nitrophenylhydrazino)-ethylideneacetone was obtained in 24% yield.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.125-137
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• 2000

A solution of the findpath problem in which a moving object in required to avoid moving obstacles and move to the designated target in the plane is porcided via the second method of Lyapunov. This paper presents an new control designed by a family of piecewise Lyapunov functions to solve a findpath problem and gives some simultion results of that.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.515-524
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• 2004

We prove the local existence of solution for nonconvex-valued differential inclusion under time-varying state constraints.

• Korean Journal of Mathematics
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• v.14 no.1
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• pp.85-93
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• 2006

A good arithmetic random number generator should possess full period, uniformity and independence, etc. To obtain the excellent random number generator, many researchers have found good parameters. Also an initial seed is the important factor in random number generator. But, there is no theoretical guideline for using the initial seeds. Therefore, random number generator is usually used with the arbitrary initial seed. Through the empirical tests, we show that the choice of the initial values for the seed is important to generate good random numbers.