• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.1
• /
• pp.23-28
• /
• 2016

In this paper, we obtain close characterizations of flows near a saddle set which is one of the interesting unstable closed sets. Also, we consider some conditions that closed sets are to be stable.

• Journal of Industrial Technology
• /
• v.6
• /
• pp.9-12
• /
• 1986

이 논문(論文)에서는 net와 연속함수(連續函數)의 족(族)에서 상(像)에 의한 Compact 공간(空間)의 성질(性質)을 조사하였다. Compact 공간(空間)에 기초를 둔 C-closed, A-net, A-변환(變換)을 사용하여 Haussdorff 공간(空間) 혹은 Regular 공간(空間)에서의 그들의 성질(性質)을 살펴보았다.

• Journal of electromagnetic engineering and science
• /
• v.1 no.2
• /
• pp.156-160
• /
• 2001

Very convenient equivalent circuits fur the design of bandpass filters with an attenuation pole in the lower or upper stopband are provided together with necessary closed-form solutions. The proposed approach gives us much flexibility and simplifies the design of inserting attenuation poles.

• Journal of applied mathematics & informatics
• /
• v.18 no.1_2
• /
• pp.525-537
• /
• 2005

We introduce the notions of regular preopen sets and $p^{\ast}-closed$ spaces and investigate some of these properties. Also we give a characterization of p-closed spaces.

• Kyungpook Mathematical Journal
• /
• v.32 no.1
• /
• pp.31-43
• /
• 1992

• Journal of the Chungcheong Mathematical Society
• /
• v.32 no.4
• /
• pp.453-459
• /
• 2019

In this paper, we analyze the behaviour of flows near closed sets with compact boundary which contains no semi-orbits. Also, we give a condition that a closed invariant set is to be asymptotically stable.

• The Pure and Applied Mathematics
• /
• v.16 no.2
• /
• pp.187-192
• /
• 2009

In this paper, we introduce the notions of $s{\gamma}$-generalized closed sets and $s{\gamma}$-generalized sets, and investigate some properties for such notions.

• Coupled systems mechanics
• /
• v.2 no.2
• /
• pp.127-146
• /
• 2013

A closed-form solution for a fluid-structure system is presented in this article. The closed-form is used to evaluate the finite element method results through a numeric example with consideration of high frequencies of excitation. In the example, the structure is modeled as a cantilever beam with rectangular cross-section including only shear deformation and the reservoir is assumed semi-infinite rectangular filled with compressible fluid. It is observed that finite element results deviate from the closed-form in relatively higher frequencies which is the case for the near field earthquakes.

• Journal of the Korean Mathematical Society
• /
• v.55 no.5
• /
• pp.1031-1043
• /
• 2018

Let R be a commutative ring with $1{\neq}0$, I a proper ideal of R, and m and n positive integers. In this paper, we define I to be a weakly (m, n)-closed ideal if $0{\neq}x^m\;{\in}I$ for $x{\in}R$ implies $x^n{\in}I$, and R to be an (m, n)-von Neumann regular ring if for every $x{\in}R$, there is an $r{\in}R$ such that $x^mr=x^n$. A number of results concerning weakly(m, n)-closed ideals and (m, n)-von Neumann regular rings are given.

• Journal of applied mathematics & informatics
• /
• v.10 no.1_2
• /
• pp.51-62
• /
• 2002

The present paper gives a new construction of a quotient BCI(BCK)-algebra X/${\mu}$ by a fuzzy ideal ${\mu}$ in X and establishes the Fuzzy Homomorphism Fundamental Theorem. We show that if ${\mu}$ is a fuzzy ideal (closed fuzzy ideal) of X, then X/${\mu}$ is a commutative (resp. positive implicative, implicative) BCK(BCI)-algebra if and only if It is a fuzzy commutative (resp. positive implicative, implicative) ideal of X Moreover we prove that a fuzzy ideal of a BCI-algebra is closed if and only if it is a fuzzy subalgebra of X We show that if the period of every element in a BCI-algebra X is finite, then any fuzzy ideal of X is closed. Especiatly, in a well (resp. finite, associative, quasi-associative, simple) BCI-algebra, any fuzzy ideal must be closed.