• Journal of the Chungcheong Mathematical Society
• /
• v.13 no.1
• /
• pp.45-51
• /
• 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 the Korean Mathematical Society
• /
• v.45 no.2
• /
• pp.377-392
• /
• 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
• /
• v.47 no.4
• /
• pp.679-690
• /
• 2005

This study was carried out to evaluate the quality characteristics of aerobic packed pork during storage after fermentation with soy sauce, red pepper and soybean paste seasonings. The ham of pork were cut to cube($7{\time}10{\time}2$cm) and Korea traditional seasonings such as soy sauce(T1), red pepper paste(T2), soybean paste(T3) were seasoned by the proportions of meat to seasonings(1:1), respectively. The seasoned sample were fermented by fill into plastic box at $1{\pm}1^{\circ}C$ for 10 days. And then, the fermented meat from each pack was aerobic packed and stored at $1{\pm}1^{\circ}C$ for up to 28 days. The pH of T1 were significantly(P<0.05) lower compared to T2 and T3 at 1 day of storage, but were significantly(P<0.05) higher at 14 and 28 days of storage. The water-holding capacity of T1were significantly(P<0.05) higher compared to T2 and T3 at 1 and 28 days of storage. The shear force of T3 were significantly(P<0.05) lower compared to T1 during storage. The surface meat L* values of T3 were significantly(P<0.05) higher than those of T1 and T2, but a* and b* values of T2 were significantly(P<0.05) higher. The volatile basic nitrogen(VBN) of T3 were significantly(P<0.05) lower compared to T2 at 1 and 14 days of storage, but T1 were significantly(P<0.05) lower at 28 days of storage. The thiobarbituric acid reactive substances(TBARS) of T3 were significantly(P<0.05) lower compared to T1 and T2. The total plate counts of T1 were significantly(P<0.05) lower compared to T2 and T3 at 1 day of storage, but T2 were significantly(P<0.05) lower at 14 and 28 days of storage. The Escherichia coli of T1 and T3 were significantly(P<0.05) lower compared to T2 at 1 day of storage. The Lactobacilli spp. of T2 were significantly(P<0.05) lower compared to T1 and T3.

• Journal of The Korean Society of Grassland and Forage Science
• /
• v.25 no.1
• /
• pp.7-16
• /
• 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.

• Communications of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.353-359
• /
• 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
• /
• v.28 no.1_2
• /
• pp.243-256
• /
• 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.

• Bulletin of the Korean Mathematical Society
• /
• v.40 no.2
• /
• pp.195-205
• /
• 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.

• Food Science of Animal Resources
• /
• v.26 no.1
• /
• pp.64-69
• /
• 2006

This study was conducted to determine the effect of pH adjustment on physico-chemical characteristics of chicken breast surimi. The chicken breast meat was ground with distilled water, of which pH was then adjusted to 2.5 (T1), 3.0 (T2), 10.5 (T3) and 11.0 (T4) for surimi manufacture, respectively. Water content was higher in order of T4>T1>T3>T2 (p<0.05). Crude protein and crude fat were higher in T3 and T4 compared with T1 and T2 (p<0.05). $L^*$ values, myofibrillar protein and water holding capacity of T2 and T4 were higher than those of T1 and T3 (p<0.05). T4 had the lowest yield among the treatments (p<0.05). T1 was higher in yield and pH, whereas breaking force and deformation were higher in T1 (p<0.05). $a^*$ was higher in order of T3>T2>T4>T1 and $b^*$ was lower in T1 compared with other treatments (p<0.05). In textural properties, the chewiness values of T2 and T3 were higher than those of T1 and T4, the hardness was higher in order of T2>T3>T4>T1 (p<0.05). Cohesiveness and gumminess of T1 showed higher values than those of other treatments (p<0.05). In sensory evaluation, the note for appearance was higher in T2 than other treatments (p<0.05), however other traits were not significantly different (p>0.05). Therefore, the alkaline processing (T4, pH 11.0) would be recommended.

• Journal of the Korean Mathematical Society
• /
• v.57 no.2
• /
• pp.451-470
• /
• 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].

• Journal of applied mathematics & informatics
• /
• v.27 no.5_6
• /
• pp.1165-1176
• /
• 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 $y{\neq}0$.