• 한국산업정보학회논문지
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• 제11권5호
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• pp.62-66
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• 2006

We investigate various $\Phi(t)-stability$ of comparison differential equations and we abtain necessary and/or sufficient conditions for the uniform asymptotic and exponential asymptotic stability of the nonlinear differential equation x'=f(t, x).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제4권2호
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• pp.161-166
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• 1997

We obtained sufficient conditions for $\phi$(t)-stability and uniform $\phi$(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제4권2호
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• pp.167-173
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• 1997

In this paper, we investigated several asymptotic stability properties of the system for the type of dy/dt = $h(t)^{-1}F(t_1, k(t)y(t))$.

• 대한수학회지
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• 제37권5호
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• pp.835-847
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• 2000

We investigate various ${\Phi}$(t)-stability of comparison differential equations and we obtain necessary and/or sufficient conditions for the asymptotic and uniform asymptotic stability of the differential equations x'=f(t, x).

• 한국산업정보학회논문지
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• 제9권4호
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• pp.68-74
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• 2004

We investigate various $\phi(t)-stability$ of comparison differential equations and We obtain necessary and/or sufficient conditions for the asymptotic and uniform asymptotic stability of the differential equations x'=f( t, x)

• 충청수학회지
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• 제13권1호
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• pp.45-51
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• 2000

We will investigate some properties of integro-delay-differential equations, $$x^{\prime}(t)=A(t)x(t-g_1(t,x_t))+{\int}_{t_0}^{t}B(t,s)x(s-g_2(s,x_s))ds,\;t_0{\geq}0,\\x(t_0)={\phi}$$,

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.75-81
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• 2002

Lipschitz stability and Lipschitz ø$_{o}$ - equistability of the functional differential equation x'= B(x)f(t, x, $x_{t}$), $x_{to}$ =$\theta$$_{o}$ are discussed. Sufficient conditions are given using the comparison with the corresponding scalar equation.ion.n.

• 한국산업정보학회논문지
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• 제12권5호
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• pp.54-59
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• 2007

We abtain some stability results for a very general differential system using the method of cone valued vector Lyapunov functions and conversely some sufficient conditions for existence of such vector Lyapunov functions.

• 한국농공학회지
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• 제31권3호
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• pp.57-69
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• 1989

The study was carried out for the strength parameter of coarse grained Soil and slope stability analysis of earth dam. The test samples were taken fifteen kinds of soil from cohesive soil to coarse gravel. The degree of compaction of test samples for shear test and permeability test was chosen 95 percentage of maximum dry density. The results of this study are as follows ; 1.The maximum dry density(Yd) of coarse grained soil increase in proportion to coarse particles(P) with the relation of Y d= 1.609+0.0043P. 2.The coefficients of permeability(k) decrease by the increase of fine particles(n) with the relation of k=0.0426e-0 185n. 3.The cohesions of soil decrease by the increase of coarse particles, but internal friction angles are more increased in same condition. 4.The internal friction angles(${\Phi}$) decrease in inverse proportion to void ratio(e) with the relation of ${\Phi}$ = 73.068 - 69.268e. 5.The strength parameters( Ct ${\Phi}$t) by triaxial compression test are clearly smaller than that (Cd, ${\Phi}$d) by direct shear test in fine grained soil, but the differences between both parameters are a little in coarse grained soil.The relations of both parameters are as follows; Ct = O.544Cd + 0.04 ${\Phi}$t= 1.282${\Phi}$d-2306 6.In cohesive soil, the strength parameters( Cl ${\Phi}$l) by large size shear test apparatus are similar to the strength parameters(Cs , ${\Phi}$s) by small size shear test appratus, but Cs and ${\Phi}$s values are larger than Cl and ${\Phi}$l values from 10 percentage to 20 percentage in coarse grained soil. 7.The fine grained soil is inappropriate to high dam more than 20 meters and it must be taken coarse grained soil with high internal friction angle for high dam.

• 생물환경조절학회지
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• 제16권4호
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• pp.275-283
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• 2007

본 연구는 기존 비닐하우스 아연도 강관을 사용한 하우스 폭 3.6m와 5m 천창개폐형 대립계 포도 비가림하우스에 대한 구조적 안전성을 검토하고, 인장강도 $400N{\cdot}mm^{-2}$(SGH400 등) 이상의 파이프를 사용하는 조건에서 하우스 폭 5m인 천창개폐형 대립계 포도 비가림하우스에 대하여 구조적으로 안전한 최적 파이프 규격을 제시하고자 수행하였다. 주기둥 $3m{\times}$서까래 60cm인 천창개폐형 3.6m 비가림하우스의 경우, 적설심 35cm에서는 구조적으로 안전한 것으로 분석되었으나 측면 및 전후면 풍속 $35m{\cdot}s^{-1}$에서는 불안전한 것으로 나타났으며, 동일 주기둥과 서까래 간격을 갖는 천창개폐형 5m 비가림하우스의 경우에는 적설심 35와 풍속 $35m{\cdot}s^{-1}$에서 모두 불안전하여 구조보강이 필요한 것으로 분석되었다. 그리고 동일 주기둥과 서까래간격을 가지나 인장강도 $400N{\cdot}mm^{-2}$ 이상을 갖는 파이프를 사용하는 조건에서 천창개폐형 5m 비가림하우스의 최적 파이프 규격은 지붕높이 1.6m(아치형)와 지붕높이 1.8m(복숭아형)에 대하여 동일하게 두 경우로 규격화 할 수 있었다. 즉, 안전풍속 $35m{\cdot}s^{-1}$와 안전적설심 40cm에서 구조적으로 안전한 서까래 규격은 ${\Phi}31.8{\times}1.5t@600$이었으며, 안전풍속 $35m{\cdot}s^{-1}$와ss 안전적설심 35cm에서는 서까래 ${\Phi}25.4{\times}1.5t@600$인 것으로 분석되었다. 덕면으로부터 곡부보까지의 높이는 안전적설심보다는 안전풍속에 직접적인 영향을 미치는 것으로 분석되었으며, 처마를 높임에 따라 측면풍속에 대해서는 방풍벽파이프(측벽서까래)를, 전후면 풍속에 대해서는 마구리기둥의 규격을 강화하여야 하는 것으로 분석되었다.