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ASYMPTOTIC STABILITY AND DECAY RATE OF SOLUTIONS FOR A NONLINEAR FOURTH ORDER WAVE EQUATION
Tahamtani,,F 한국전산응용수학회 1997 Journal of applied mathematics & informatics Vol.4 No.1
This paper is concerned with investigating the global as-ymptotic behavior of the zero solution of the initial-boundary value problem for a nonlinear fourth order wave equation, Moreover an esti-mate of the rate of decay of the solutions is obtained.
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A new characterization of alternating andsymmetric groups
S.,H.,Alavi,A.,Daneshkhah 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1-2
In this paper we prove that the alternating groups An, for n = p, p+1, p+2 and symmetric groups Sn, for n = p, p+1, where p 3 is a prime number, can be uniquely determined by their order components. As one of the important consequence of this characterization we show that the simple groups An, where n = p, p+1, p+2 and p 3 is prime, satisfy in Thompson's conjecture and Shi's conjecture.
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Intuitionistic fuzzy congruences on a lattice
Kul,Hur,Su,Youn,Jang,Hee,Won,Kang 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.18 No.1-2
We study the relationship between intuitionistic fuzzy ideals and intuitionistic fuzzy congruences on a distributive lattice. And we prove that the lattice of intuitionistic fuzzy ideals is isomorphic to the lattice of intuitionistic fuzzy congruences on a generalized Boolean algebra.
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Normal fuzzy probability for trigonometric fuzzy number
Yong,Sik,Yun,Jae,Choong,Song,Sang,Uk,Ryu 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.19 No.1-2
We calculate the normal fuzzy probability for trigonometric fuzzy numbers defined by trigonometric functions. And we study the normal probability for some operations of two trigonometric fuzzy numbers. Furthermore, we calculate the normal fuzzy probability for some fuzzy numbers generated by operations.
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SOCLE ELEMENTS OF NON-LEVEL ARTINIAN ALGEBRAS
SHIN,,YONG,SU 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
We show that an Artinian O-sequence $h_0,h_1,{\cdots},h_{d-1},h_d\;=\;h_{d-1},h_{d+l}\;>\;h_d$ of codimension 3 is not level when $h_{d-1}\;=\;h_d\;=\;d + i\;and\;h{d+1}\;=\;d+(i+1)\;for\;i\;=\;1,\;2,\;and\;3$, which is a partial answer to the question in [9]. We also introduce an algorithm for finding noncancelable Betti numbers of minimal free resolutions of all possible Artinian O-sequences based on the theorem of Froberg and Laksov in [2].
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PRODUCT PROPERTIES OF DIGITAL COVERING MAPS
HAN,,SANG,EON 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
The aim of this paper is to solve the open problem on product properties of digital covering maps raised from [5]. Namely, let us consider the digital images $X_1 {\subset}Z^{n_{0}}$ with $k_0-adjacency$, $Y_1{\subset}Z^{n_{1}}$ with $k_3-adjacency$, $X_2{\subset}Z^{n_{2}}$ with $k_2-adjacency$ and $Y_2{\subset}Z^{n_{3}}$ with $k_3-adjacency$. Then the reasonable $k_4-adjacency$ of the product image $X_1{\times}X_2$ is determined by the $k_0-$ and $k_2-adjacency$ and the suitable k_5-adjacency$ is assumed on $Y_1{\times}Y_2$ via the $k_1-$ and $k_3-adjacency$ [3] such that each of the projection maps is a digitally continuous map, e.g., $p_1\;:\;X_1{\times}X_2{\rightarrow}X_1$ is a digitally ($k_4,\;k_1$)-continuous map and so on. Let us assume $h_1\;:\;X_1{\rightarrow}Y_1$ to be a digital $(k_0, k_1)$-covering map and $h_2\;:\;X_2{\rightarrow}Y_2$ to be a digital $(k_2,\;k_3)$-covering map. Then we show that the product map $h_1{\times}h_2\;:\;X_1{\times}X_2{\rightarrow}Y_1{\times}Y_2$ need not be a digital $(k_4,k_5)$-covering map.
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FUZZY DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION
JEONG,,JAE,UG 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
We shall prove the existence and uniqueness theorem of a solution to the non local fuzzy differential equation using the contraction mapping principle.
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SURVEY OF GIBBS PHENOMENON FROM FOURIER SERIES TO HYBRID SAMPLING SERIES
SHIM,,HONG,TAE,PARK,,CHIN,HONG 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
An understanding of Fourier series and their generalization is important for physics and engineering students, as much for mathematical and physical insight as for applications. Students are usually confused by the so-called Gibbs' phenomenon, an overshoot between a discontinuous function and its approximation by a Fourier series as the number of terms in the series becomes indefinitely large. In this paper we give short story of Gibbs phenomenon in chronological order.
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Survey of Gibbs phenomenon from Fourier series to hybrid sampling series
심홍태,Chin-Hong,Park 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1-2
An understanding of Fourier series and their generalization is important for physics and engineering students, as much for mathematical and physical insight as for applications. Students are usually confused by the so-called Gibbs' phenomenon, an overshoot between a discontinuous function and its approximation by a Fourier series as the number of terms in the series becomes indefinitely large. In this paper we give short story of Gibbs phenomenon in chronological order.
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INTUITIONISTIC FUZZY CONGRUENCES ON A LATTICE
HUR,,KUL,JANG,,SU,YOUN,KANG,,HEE,WON 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.18 No.1
We study the relationship between intuitionistic fuzzy ideals and intuitionistic fuzzy congruences on a distributive lattice. And we prove that the lattice of intuitionistic fuzzy ideals is isomorphic to the lattice of intuitionistic fuzzy congruences on a generalized Boolean algebra.
