• Korean Journal of Mathematics
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• v.17 no.4
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• pp.495-505
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• 2009

By means of Green function and fixed point theorem related with cone theoretic method we show that there exist multiple nonnegative solutions of a Dirichlet problem $$\array{-[p(t)x^{\prime}(t)]^{\prime}={\lambda}q(t)f(x(t)),\;t{\in}I=[0,\;T]\\x(0)=0=x(T)}$$, and a mixed problem $$\array{-[p(t)x^{\prime}(t)]^{\prime}={\mu}q(t)f(x(t)),\;t{\in}I=[0,\;T]\\x^{\prime}(0)=0=x(T)}$$, where ${\lambda}$ and ${\mu}$ are positive parameters.

• Korean Journal of Mathematics
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• v.19 no.4
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• pp.391-402
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• 2011

We give necessary and sufficient conditions such that the homogeneous differential equations of the type: $$(r(t)x^{\prime}(t))^{\prime}+q(t)x^{\prime}(t)+p(t)x(t)=0$$ are nonoscillatory where $r(t)$ > 0 for $t{\in}I=[{\alpha},{\infty})$, ${\alpha}$ > 0. Under the suitable conditions we show that the above equation is nonoscillatory if and only if for ${\gamma}$ > 0, $$(r(t)x^{\prime}(t))^{\prime}+q(t)x^{\prime}(t)+p(t)x(t-{\gamma})=0$$ is nonoscillatory. We obtain several comparison theorems.

• Food Science of Animal Resources
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• v.23 no.2
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• pp.115-121
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• 2003

The pork quality was determined with following treatments. The meat samples were obtained from pigs which had been fed finishing pig diets containing 5% beef tallow(Control), 3% beef tallow and 2% perillar seed oil(T1), 250 ppm vitamin E(a-tocopheryl acetate) in T1(T2), 3% beef tallow and 2% squid viscera oil(T3), 250 ppm vitamin E in T3(T4), 3% beef tallow and 2% CLA(Conjugated linoleic acid, T5). T1 had the lowest sarcomere length, salt solubility and total protein contents among the treatments. Salt solubility and total protein content of T2 and T4 which had been fed diets containing Vit. E were higher than those of T1 and T3 which had not been fed diets without Vit. E. pH and water holding capacity(WHC) values of control were higher than those of T1, T3 and T5, while WHC of T2 and T4 was higher than those of T1, T3 and T5. The hunter L value of meat and a value of fat showed higher in T5 than those in control, T, T3. The adhesiveness of T3 and the springiness of T5 in cooked meat showed higher level than other treatments.

• Asian-Australasian Journal of Animal Sciences
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• v.2 no.3
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• pp.231-232
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• 1989

• Journal of Animal Science and Technology
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• v.46 no.2
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• pp.217-226
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• 2004

This study was canied out to evaluate the quality characteristics of the fermented pork with Korean traditional seasonings. The samples, outside muscle of pork ham were cut to cube(7 ${\times}$ 12 ${\times}$ 2cm) and five Korean traditional seasonings such as garlic paste(TI), pickled Kimchi(T2), pickled Kimchi juice(T3), soybean paste(T4), red pepper paste(T5) were seasoned by the proportions of meat to seasonings(1 : 1). The seasoned samples were fennented at - 1 ${\pm}$ 1$^{\circ}C$ for 20 days. According to proximate composition analysis, all pork samples contained protein 20 ${\sim}$ 22%, fat 3 ${\sim}$ 5%, moisture 64 ${\sim}$ 70% and ash 1.8 ${\sim}$ 2.0%. However, T5 had high crude fat level and relatively low moisture content. The highest pH among treatments was shown in TI whereas T3 showed the lowest. Water holding capacity(WHC) of T4 and T5 were higher, while those values were lower in T3 compared with other treatment. Shear force value was the highest in T5, while it was the lowest in T4. TBARS value of T3 was the highest, while that was the lowest in T4. Moreover the highest VBN value was observed in T4 due to fermentation of soy protein. However, the lowest VBN value shown in Tl indicated the inhibition of protein degradation by the garlic. The highest saccarinity was shown in T5 but it was the lowest of in T3. Salinity was shown to be high in T2 and low in T5. $L^*$ values of T4 was higher both at the surface and inner side of samples than the others but T5 showed the lowest value. T2 showed the highest $a^*$ value but T4 and T5 showed the lowest. In the result of sensory evaluation for cooked meat, T5 had the highest score in all item including overall acceptability, while T4 had the lowest score. Unsaturated fatty acid(UFA) ratio of T5 and n were 72.16 and 69.93 respectively, and the ratio of UFA/Saturated fatty acid(SFA) were higher in the order of T5 >T4> T3 >Tl >T2. Overall quality characteristics were higher in the order of T5 >T2 >Tl >T4 >T3.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.1-11
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• 2016

This paper shows that the solutions to nonlinear perturbed functional differential system $$y^{\prime}=f(t,y)+{\int}^t_{t_0}g(s,y(s),Ty(s))ds+h(t,y(t))$$ have the asymptotic property by imposing conditions on the perturbed part ${\int}^t_{t_0}g(s,y(s),Ty(s))ds,h(t,y(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

• Kyungpook Mathematical Journal
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• v.56 no.3
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• pp.777-789
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• 2016

In this paper, we establish some new oscillation criteria for the second-order forced nonlinear functional dynamic equations with damping term $$(r(t)x^{\Delta}(t))^{\Delta}+q({\sigma}(t))x^{\Delta}(t)+p(t)f(x({\tau}(t)))=e(t)$$, and $$(r(t)x^{\Delta}(t))^{\Delta}+q(t)x^{\Delta}(t)+p(t)f(x({\sigma}(t)))=e(t)$$, on a time scale ${\mathbb{T}}$, where r(t), p(t) and q(t) are real-valued right-dense continuous (rd-continuous) functions [1] defined on ${\mathbb{T}}$ with p(t) < 0 and ${\tau}:{\mathbb{T}}{\rightarrow}{\mathbb{T}}$ is a strictly increasing differentiable function and ${\lim}_{t{\rightarrow}{\infty}}{\tau}(t)={\infty}$. No restriction is imposed on the forcing term e(t) to satisfy Kartsatos condition. Our results generalize and extend some pervious results [5, 8, 10, 11, 12] and can be applied to some oscillation problems that not discussed before. Finally, we give some examples to illustrate our main results.

• Journal of The Korean Society of Grassland and Forage Science
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• v.25 no.1
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• pp.33-42
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• 2005

A field experiment was conducted to evaluate growth characteristics, forage production and crude protein yield according to cutting time of Soghum ${\times}$ Sudangrass Hybrid, and decide ideal harvesting time for use of soiling and silage. Experiment design was arranged with 7 different treatment T1(150 m), T2(200 cm), T3(boot), T4(heading), T5(milk), T6(dough) and T7(yellow stage), as a randomized block design. The results were as fellows : Cutting times of utilization during the course of a year was 4 times at T1 and T2, 3 times at T3 and T4, and 2 times at T5, T6 and T7. Accumulative plant length was the highest at T2(666cm), but T3 was the lowest as 402 cm. Mean Leaf length was the highest at T5(82.1 m) and lowest at T7(T1.8 m). Mean leaf width was the highest at T2 and lowest at T6. Stem diameter was orderly ranked as T3(10.7 mm)>T1(9.5)>T2, T5(9.3>T6(8.9)>T7(8.6)>T4(8.5). Stem hardness was orderly ranked as $T7(3.2 kg/cm^2$>T5, T6(2.3)>T3, T4(1.5)> T2(0.6)>T7(8.6)>T1(0.5). Mean of leaf number and leaf ratio was the highest at $T3(8.1\%)$ and $T2(45.3\%)$, respectively. The highest yield of fresh and dry matter was obtained at T4 and T6 as 113,246 and 24,249 kg/ha, respectively(P<0.05), and e lowest at T7 and T1 as 82,675 and 13,006 kg/ha, respectively(P<0.05). Crude protein yield was highest at T6(1.456 kg/ha) and lowest at T3 as 1,189 kg/ha. As mentioned above the result T1, T2 and T3 could be recommended as use of soiling, and T5, T6 and T7 as silage.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.401-409
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• 2010

In this paper, we introduce an iterative method to study oscillatory properties of delay difference equations of the following form ${\nabla}_{\alpha}\;[x(t)\;-\;r(t)x(t\;-\;k)]\;+\;p(t)x(t\;-\;{\tau})\;-\;q(t)x(t\;-\;{\sigma})\;=\;0$, $t\;{\geq}\;t_0$, where $t_0\;{\in}\;\mathbb{R}$, t varies in the real interval ($t_0,\;{\infty}$), $\alpha$ > 0, $\kappa$, $\tau$, ${\sigma}\;{\geq}\;0$, $r\;{\in}\;C\;([t_0-{\alpha},\;{\infty}),\;\mathbb{R}^+$, p, $q\;{\in}\;C\;([t_0,\;{\infty}),\;\mathbb{R}^+)$ and ${\nabla}_{\alpha}x(t)\;=\;x(t)\;-\;x(t\;-\;{\alpha})$ for $t\;{\geq}\;t_0$.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.13 no.3
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• pp.203-215
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• 2009

In this article, we study the existence and uniqueness of mild and classical solutions for a nonlinear impulsive differential equation with nonlocal conditions u'(t) = Au(t) + f(t, u(t); Tu(t); Su(t)), $0{\leq}t{\leq}T_0$, $t{\neq}t_i$, u(0) + g(u) = $u_0$, ${\Delta}u(t_i)=I_i(u(t_i))$, i = 1,2,${\ldots}$p, 0<$t_1$<$t_2$<$\cdots$<$t_p$<$T_0$, in a Banach space X, where A is the infinitesimal generator of a $C_0$ semigroup, g constitutes a nonlocal conditions, and ${\Delta}u(t_i)=u(t_i^+)-u(t_i^-)$ represents an impulsive conditions.