• 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, $$x^{\prime}(t)=A(t)x(t-g_1(t,x_t))+{\int}_{t_0}^{t}B(t,s)x(s-g_2(s,x_s))ds,\;t_0{\geq}0,\\x(t_0)={\phi}$$,

• 대한수학회지
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• 제45권2호
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• pp.377-392
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• 2008

Let X be a real reflexive Banach space with a uniformly $G\hat{a}teaux$ differentiable norm, C a nonempty closed convex subset of X, T : C $\rightarrow$ X a continuous pseudocontractive mapping, and A : C $\rightarrow$ C a continuous strongly pseudocontractive mapping. We show the existence of a path ${x_t}$ satisfying $x_t=tAx_t+(1- t)Tx_t$, t $\in$ (0,1) and prove that ${x_t}$ converges strongly to a fixed point of T, which solves the variational inequality involving the mapping A. As an application, we give strong convergence of the path ${x_t}$ defined by $x_t=tAx_t+(1-t)(2I-T)x_t$ to a fixed point of firmly pseudocontractive mapping T.

• Journal of Animal Science and Technology
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• 제47권4호
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• pp.679-690
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• 2005

이 연구는 간장, 고추장 및 된장 양념을 이용한 발효 돈육의 품질 특성에 관한 것으로 돼지 뒷다리를 채취하여 $7{\time}10{\time}2$cm 크기로 자른 후 육을 동일한 비율의 소스(간장소스 T1, 고추장소스 T2, 된장소스 T3)에 침지하여 $1{\pm}1^{\circ}C$에서 10일간 발효숙성한 후 함기포장하여 $1{\pm}1^{\circ}C$에서 1, 14 및 28일 동안 저장하면서 품질 측정한 결과는 다음과 같다. pH는 T1이 저장 1일에 T2와 T3에 비해 낮았지만, 저장 14일과 28일에 현저하게 높았다(P<0.05). 보수성은 T1이 저장 1일과 28일에 T2와 T3에 비해 높았다. 전단가는 T3가 T1과 T2에 비해 낮았다. 표면 육색의 L*값은 T3가 T1과 T2에 비해 높았지만, a*와 b*값은 T2가 T1과 T3에 비해 현저하게 높았다(P<0.05). VBN은 저장 1일과 14일에 T3가 T2에 비해 낮았지만, 저장 28일에는 T1이 T2와 T3에 비해 현저하게 낮았다(P<0.05). TBARS는 저장 14일과 28일에 T3가 T1과 T2에 비해 현저하게 낮았다(P<0.05). 총균수는 저장 1일에 T1이 T2와 T3에 비해 낮았지만, 저장 14일과 28일에는 T2가 T1과 T3에 비해 현저하게 낮았다(P<0.05). 대장균 수는 저장 1일에 T1과 T3가 T2에 비해 현저하게 낮았고(P<0.05), 저장 14일과 28일에는 T2와 T3는 대장균 성장을 나타내지 않았다. 유산균 수는 T2가 T1과 T3에 비해 낮았다. 이상에서, 고추장 발효 돈육인 T2는 양념육 고유의 색을 나타내면서 미생물 성장을 지연시켰다.

• 한국초지조사료학회지
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• 제25권1호
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• pp.7-16
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• 2005

This experiments were carried out to determine growth characteristics, dry matter yield and voluntary intake of silage according to growth stage of Sorghum$\times$sudangrass(SSH) hybrid in mono-cropping and inter-cropping(C; com, T1; cutting of SSH at milk stage. T2; cutting of SSH at dough stage, T3; cutting of SSH at yellow ripe stage, T4; cutting of SSH and soybean at milk stage, T5; cutting of SSH and soybean at dough stage, T6: cutting of SSH and soybean at yellow ripe stage). Results obtained from these experiments are as follows; Plant length and leaf length of SSH(T2, T3, T4. T5 and T6)) were higher than C. T1 treatment was lower than it. C showed $2.3\~2.9$ times higher stem diameter as 29.5mm compare to SSH(T1, T2, T3, T4, T5 and T6). soybean(T4, T5 and T6) was lower in $4.3\~5.4$ times. But SSH of inter-cropping treatment(T4, T5 and T6) showed highly comparing with mono-cropping(T1, T2 and T3) at the same maturity. Leaf rate and stem hardness of SSH(T1, T2, T3, T4, T5 and T6) were lower than C. The fresh yield was high line with T2(72,320kg/ha), T1(69,103kg/ha), T3(68,333kg/ha) and C(57,988kg/ha), dry matter yield was high in line with T3(22.413kg/ha), T2(21,479kg/ha), C(19,252kg/ha) and T6(18,175kg/ha), (P<0.05). Protein dry matter yield was higher in T3(1,434kg/ha), C(1,386kg/ha)T5 and T6(1,345kg/ha) it was lower in T1(872kg/ha), (P<0.05). Crude protein of silage of T4 and T5 was higher than C, T2 and T3 were lower than it(P<0.05), while NDF content was not different. ADF content of T6 was higher than those of the other treatment. The highest hemi-cellulose among treatments was shown in T1 whereas T6 showed the lowest. Fresh intake of silge was 160.4, 155.8, 168.7, 172.9, 132.9, 158.7 and 185.2 g/BW for C, T1, T2, T3, T4, T5 and T6, respectively. Dry matter intake was high in line with T6(60.3g), C(153.8g), T3(53.6g), T5(47.8g), T2(46.8g), T4(35.2g) and T1(34.48g/BW), (P<0.05). Crude protein intake was high in line with T6(3.9g), T5(3.4g), C(3.4g), T2(2.9g), T3(2.9g), T4(2.6g) and T1(2.3g/BW), (P<0.05). As mentioned above the results, mono-cropping(T3) and inter-cropping(T5 and T6) could be recommended as increasing method of sorghum $\times$ sudangrass hybrid silage utilization when silage intake of dry matter and crude protein were considered.

• 대한수학회논문집
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• 제32권2호
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• pp.353-359
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• 2017

Starting from a t-norm T, it is possible to construct a class of new t-norms, so-called T-generalized t-norm. The purpose of this paper is to describe some properties of this class of generalized t-norms. An algebraic structure as well as a binary relation among t-norms are also investigated. Some open problems are discussed as well.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.243-256
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• 2010

This paper is concerned with the neutral impulsive functional differential equations $$\{{x'(t)\;+\;a(t)x(t)\;=\;f(t,\;x(t\;-\;\tau(t),\;x'(t\;-\;\delta(t))),\;a.e.\;t\;{\in}\;R, \atop {\Delta}x(t_k)\;=\;b_kx(t_k),\;k\;{\in}\;Z.$$ Sufficient conditions for the existence of at least three positive T-periodic solution are established. Our results generalize and improve the known ones. Some examples are presented to illustrate the main results.

• 대한수학회보
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• 제40권2호
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• pp.195-205
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• 2003

For the boundary value problem (BVP) of second order functional differential equations for the one-dimensional $\rho$-Laplaclan: ($\Phi$$_{\rho}$(y'))'(t)+m(t)f(t, $y^{t}$ )=0 for t$\in$[0,1], y(t)=η(t) for t$\in$[-$\sigma$,0], y'(t)=ξ(t) for t$\in$[1,d], suitable conditions are imposed on f(t, $y^{t}$ ) which yield the existence of at least two positive solutions. Our result generalizes the main result of Avery, Chyan and Henderson.

• 대한수학회지
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• 제57권2호
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• pp.451-470
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• 2020

Let C[0, T] denote an analogue of Wiener space, the space of real-valued continuous functions on the interval [0, T]. For a partition 0 = t₀ < t₁ < ⋯ < t_n < t_n+1 = T of [0, T], define X_n : C[0, T] → ℝⁿ⁺¹ by X_n(x) = (x(t₀), x(t₁), …, x(t_n)). In this paper we derive a simple evaluation formula for Radon-Nikodym derivatives similar to the conditional expectations of functions on C[0, T] with the conditioning function X_n which has a drift and does not contain the present position of paths. As applications of the formula with X_n, we evaluate the Radon-Nikodym derivatives of the functions ∫₀^T[x(t)]^mdλ(t)(m∈ℕ) and [∫₀^Tx(t)dλ(t)]² on C[0, T], where λ is a complex-valued Borel measure on [0, T]. Finally we derive two translation theorems for the Radon-Nikodym derivatives of the functions on C[0, T].

• 한국축산식품학회지
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• 제26권1호
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• pp.64-69
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• 2006

닭가슴살을 이용하여 pH를 2.5(T1), 3.0(T2), 10.5(T3) 및 11.0(T4)으로 조절하여 제조한 수리미의 이화학적 특성을 비교한 결과는 다음과 같다. 수분 함량은 T4>T1>T3>T2 순이었으며, 조단백질 및 조지방 함량은 알칼리 처리한 구들이 산 처리한 구들에 비하여 높았으며, 염용성 단백질 추출성, 보수력 및 육색 $L^*$값은 동일한 산과 알칼리 처리구 내에서 pH가 높을수록 높게 나타났다(p<0.05). 수율은 T1이 가장 높았고 T4가 가장 낮았다(p<0.05). pH는 T4가 가장 높았으며, T2, T3가 낮았고, 전단가는 알칼리 처리구들이 산 처리구들에 비하여 높았다(p<0.05). 파괴강도 및 변형값은 T1이 다른 세 처리구들에 비하여 높았다(p<0.05). 육색 $a^*$값은 T3>T2>T4>T1 순이었고, $b^*$값은 T4가 다른 세 처리구들에 비하여 낮았다(p<0.05). 조직감 중 씹힘성은 T2, T3가 T1과 T4에 비하여 높았으며, 경도는 T2>T3>T4>T1 순이었고, 응집성과 검성은 T1이 다른 세 처리구들에 비하여 낮았으며, 탄력성은 T4가 가장 높고 T2가 가장 낮았다(p<0.05). 표면경도는 T3가 가장 높고 T1이 가장 낮았다(p<0.05). 관능검사의 외관은 T2가 가장 높고 T3가 가장 낮은 것(p<0.05)을 제외하고는 전 항목에서 처리 간에 유의적인 차이를 보이지 않았다(p>0.05). 종합적으로 볼 때 pH 11.0으로 조절한 알칼리 처리구인 T4가 다른 세 처리구들에 비하여 수리미의 이화학적 품질이 양호한 결과였다.

• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1165-1176
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• 2009

This paper is concerned with the interval oscillation of the second order nonlinear ordinary differential equation (r(t)|y'(t)|$^{{\alpha}-1}$ y'(t))'+p(t)|y'(t)|$^{{\alpha}-1}$ y'(t)+q(t)f(y(t))g(y'(t))=0. By constructing ageneralized Riccati transformation and using the method of averaging techniques, we establish some interval oscillation criteria when f(y) is not differetiable but satisfies the condition $\frac{f(y)}{|y|^{{\alpha}-1}y}$ ${\geq}{\mu}_0$ > 0 for $y{\neq}0$.