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CHARACTERIZATIONS OF STABILITY OF ABSTRACT DYNAMIC EQUATIONS ON TIME SCALES

  • Hamza, Alaa E.;Oraby, Karima M.
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.185-202
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    • 2019
  • In this paper, we investigate many types of stability, like (uniform stability, exponential stability and h-stability) of the first order dynamic equations of the form $$\{u^{\Delta}(t)=Au(t)+f(t),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ and $$\{u^{\Delta}(t)=Au(t)+f(t,u),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ in terms of the stability of the homogeneous equation $$\{u^{\Delta}(t)=Au(t),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ where f is rd-continuous in $t{\in}{\mathbb{T}}$ and with values in a Banach space X, with f(t, 0) = 0, and A is the generator of a $C_0$-semigroup $\{T(t):t{\in}{\mathbb{T}}\}{\subset}L(X)$, the space of all bounded linear operators from X into itself. Here D(A) is the domain of A and ${\mathbb{T}}{\subseteq}{\mathbb{R}}^{{\geq}0}$ is a time scale which is an additive semigroup with property that $a-b{\in}{\mathbb{T}}$ for any $a,b{\in}{\mathbb{T}}$ such that a > b. Finally, we give illustrative examples.

Effects of Seeding Dates and Growth Periods on the Growth Characteristics, Dry Matter Yield and Feed Value of Corn for Silage in Paddy Field (논토양에서 파종시기와 재배기간이 사일리지용 옥수수의 생육특성, 건물수량 및 사료적 가치에 미치는 영향)

  • Lee, Sang-Moo;Lee, Jae-Hun
    • Journal of Animal Science and Technology
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    • v.52 no.5
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    • pp.441-448
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    • 2010
  • This study was carried out to investigate the effects of the seeding dates and growth periods on the growth characteristics, dry matter yield and feed value of corn for silage in paddy field. The experimental design was arranged in a randomized block design with three replications. Treatments consisted of five seeding dates, 1 May (T1), 8 May (T2), 15 May (T3), 22 May (T4) and 29 May (T5). And harvesting time homologized by August 24. Therefore, growing periods were 115 days (T1), 108 days (T2), 101 days (T3), 94 days (T4) and 87 days (T5), respectively. In maturities at harvest time, T1, T2, T3, T4 and T5 were full dent, early dent, late dough, dough and early dough stage, respectively. Plant height and numbers of root system were highest in T5 (p<0.01), but leaf length was higher in T4 than others (p<0.05). Dead leaf, tip filling degree and ear circle were higher in T1 than others (p<0.05, 0.01). Leaf width, ear height, leaf number, ear length, stem diameter, stem hardness and brix were not significantly different among the treatments. Dry matter yield and TDN yield were higher in the order of T1 > T2 > T3 > T4 > T5 (p<0.01). Crude protein, crude ash, NDF, ADF and crude fiber were significantly higher in T4 (p<0.05, 0.01). But crude fat was the highest in T1, T3 was the lowest as compared to other treatments (p<0.01). Total EAA(essential amino acids) were higher in order of T4 > T3 > T1 > T2 > T5, and total NEAA (nonessential amino acids) were higher in order of T1 > T4 > T2 > T3 > T5, and total amino acids were higher in order of T4 > T1 > T3 > T2 > T5. But no significant differences were found among the treatments. TUFA (total unsaturated fatty acid) and TSFA (total saturated fatty acid) were in order of T1 > T2 > T3 > T5 > T4 (p<0.01). Minerals were the highest in T4 (4,721.25 mg/kg), and T2 (2,970.80 mg/kg) was the lowest as compared to other treatments (p<0.05). Based on the above results, seeding dates could be recommended as early May, and harvest times is yellow ripe stage for qualitative and quantitative production of corn for silage in rice paddy field soil.

ON EXISTENCE OF SOLUTIONS OF DEGENERATE WAVE EQUATIONS WITH NONLINEAR DAMPING TERMS

  • Park, Jong-Yeoul;Bae, Jeong-Ja
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.465-490
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    • 1998
  • In this paper, we consider the existence and asymptotic behavior of solutions of the following problem: $u_{tt}$ -(t, x) - (∥∇u(t, x)∥(equation omitted) + ∥∇v(t, x) (equation omitted)$^{\gamma}$ $\Delta$u(t, x)+$\delta$$u_{t}$ (t, x)│sup p-1/ $u_{t}$ (t, x) = $\mu$│u(t, x) $^{q-1}$u(t, x), x$\in$$\Omega$, t$\in$[0, T], $v_{tt}$ (t, x) - (∥∇uu(t, x) (equation omitted) + ∥∇v(t, x) (equation omitted)sup ${\gamma}$/ $\Delta$v(t, x)+$\delta$$v_{t}$ (t, x)│sup p-1/ $u_{t}$ (t, x) = $\mu$ u(t, x) $^{q-1}$u(t, x), x$\in$$\Omega$, t$\in$[0, T], u(0, x) = $u_{0}$ (x), $u_{t}$ (0, x) = $u_1$(x), x$\in$$\Omega$, u(0, x) = $v_{0}$ (x), $v_{t}$ (0, x) = $v_1$(x), x$\in$$\Omega$, u│∂$\Omega$=v│∂$\Omega$=0 T > 0, q > 1, p $\geq$1, $\delta$ > 0, $\mu$ $\in$ R, ${\gamma}$ $\geq$ 1 and $\Delta$ is the Laplacian in $R^{N}$.X> N/.

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A Study for Identification of Nursing Diagnosis using the Roy's Adaptation Model in Maternity Unit (Roy's Adaptation Model에 의한 모성영역에서의 간호진단 확인연구)

  • Jo, Jeong-Ho
    • The Korean Nurse
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    • v.33 no.3
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    • pp.79-91
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    • 1994
  • The purpose of this study was to identify the meaningful nursing diagnosis in maternity unit and to suggest formally the basal data to the nursing service with scientific approach. The subject for this paper were 64 patients who admitted to Chung Ang University Hospital, Located in Seoul, from Mar. 10, to July 21, 1993. The results were as follows: 1. The number of nursing diagnosis from 64 patients were 892 and average number of nursing diagnosis per patient was 13.9. 2. Applying the division of nursing diagnosis to Roy's Adaptation Model, determined nursing diagnosis from the 64 patients were 621 (69.6%) in physiological adaptation mode and (Comfort, altered r/t), (Injury, potential for r/t), (Infection, potential for r/t), (Bowel elimination, altered patterns r/t), (Breathing pattern, ineffective r/t), (Nutrition, altered r/t less than body requirement) in order, and 139 (15.6%) in role function mode, (Self care deficit r/t), (Knowledge deficit r/t), (Mobility, impaired physical r/t) in order, 122 (13.7%) in interdependence adaptation mode, (Anxiety r/t), (Family Process, altered r/t) in order, 10(1.1%) in self concept adaptation mode, (Powerlessness r/t), (Grieving, dysfunctional r/t) in order. 3. Nursing diagnosis in maternity unit by the medical diagnosis, the average hospital dates were 3.8 days in normal delivery and majority of used nursing diagnosis, (Comfort, altered r/t) 64.6%, (Self care deficit r/t) 13.6% in order, and the average hospital dates were 9.6 days in cesarean section delivery and majority of used nursing diagnosis, (Comfort, altered r/t) 51.6%, (Self care deficit r/t) 15.2%, (Infection, potential for r/t) 9.9%, (Injury, potential "for r/t) 8.1%, (Anxiety r/t) 5.0%, (Mobility, impaired physical r/t) 3.3% in order, and the average hospital dates were 15.8days in preterm labor and majority of used nursing diagnosis, (Comfort, altered r/ t), (Anxiety r/t), (Injury, potential for r/t) in order, and the average short-term hospital dates were 2.5days, long-term hospital dates were 11.5days in gynecologic diseases and majority of used nursing diagnosis, (Comfort, altered r/t). (Self care deficit r/t), (Injury, potential for r/t), (Infection, potential for r/t) in order.

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Effects of inverse lighting and extreme heat diet on short chain fatty acid and blood lipid profile in extreme heat stress-exposed broilers (폭염 브로일러 닭의 혈액지질 및 짧은 사슬지방산에 대한 폭염사료와 역전점등 효과)

  • Park, Sang-Oh;Hwangbo, Jong;Park, Byung-Sung;Choi, Hee-Chul
    • Journal of the Korean Applied Science and Technology
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    • v.30 no.3
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    • pp.400-410
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    • 2013
  • This study was carried out to investigate the effects of feeding the broilers that are exposed to extreme heat stress by control of inverse lighting times with night restricted feeding of extreme heat diet(EHD1, 2: extreme heat diet) containing different amount of soy oil, molasses, amino acids and vitamin C on short chain fatty acid and blood lipid profile. 300 broiler chickens(Abaica strain) were randomized into four dietary treatment groups according to a randomized block design on the day they were hatched. The four dietary treatment groups were: T1(EHD 1, 10:00~19:00 Dark, 19:00~10:00 Light), T2(EHD 2, 10:00~19:00 Dark, 19:00~10:00 Light), T3(EHD 1, 09:00~18:00 Dark, 18:00~09:00 Light), T4(EHD 2, 09:00~18:00 Dark, 18:00~09:00 Light). The body weight gain of the broilers was highest in T2, and high in order T1, T4, T3(p<0.05). Weights of the lymphoid organ, thymus and bursa of Fabricius were high in T1, T2 as compared to T3, T4 but spleen was lower in T4 than T1, T2, T3(p<0.05). Blood triglyceride, total cholesterol and glucose were higher in T1, T2 than T3, T4(p<0.05). LDL-C was high in orderT4, T3, T2, T1 but HDL-C showed the opposite trend(p<0.05). Blood concentrations of IgG, IgG and IgM were higher in T1, T2 than inT3, T4, but the corticosterone concentration decreased significantly in them. In T1 and T2, Lactobacillus in the feces increased, but total aerobic bacteria, E.coli, coliform bacteria was decreased rather significantly, compared with those in T3 and T4(p<0.05). Concentrations of acetic acid, propionic acid and total SCFA in cecum were high in order T2, T1, T3, T4, but butyric acid, isobutyric acid, valeric acid, isovaleric acid were lower in T1, T2 than in T3, T4 (p<0.05).

Effect of Dietary Supplemention with Probiotics, Illite, Active Carbon and Hardwood Vinegar on the Performance and Carcass Characteristics of Broiler (사료내 생균제, 일라이트, 활성탄 및 목초액의 첨가가 육계의 성장 능력 및 도체 특성에 미치는 영향)

  • Kim, Y.J.
    • Korean Journal of Poultry Science
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    • v.34 no.3
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    • pp.165-172
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    • 2007
  • We investigated the effects of dietary supplements of probiotics, illite, active carbon and hardwood vinegar on growth performance, feed intake, and pH, shear force, sensory evaluation, meat color and fatty acid composition of meat in broilers. Two hundred broilers were fed diets for five weeks containing 0.2% of probiotics (T1), and 1% of Illite (T2), 1% active carbon (T3), or 1% hardwood vinegar (T4). Body weight gain was higher in T1 and T4 groups fed the starter diet but was the lowest in C and T4 for finishing period (P<0.05). Feed efficiency was not significantly different. In proximate composition, crude fat content of chicken meat were decreased lower in all treatment groups than control, but moisture, crude protein and crude ash were not significantly different. Cooking loss was decreased in T3 and T4 and WHC (water holing capacity) was increased in T3 and T4 groups compared to the other groups. In sensory evaluation, T4 tended to improve the hardness. Redness $(a^*)$ and yellowness $(b^*)$ were no difference between the all treatment groups, lightness $(L^*)$ were higher in T1, T2, T3 and T4 groups than control group (P<0.05). Stearic acid content was lower in T1, T2, T3 and T4 groups, but oleic acid contents were higher in T1, T2, T3 and T4 groups (P<0.05). These results showed that supplementing broiler diets with 1.0% hardwood vinegar may noticeably improve the meat quality of broiler.

Weathering Properties in Deposits of Fluvial Terrace at Bukhan River, Central Korea (북한강 하안단구 퇴적층의 풍화 특성)

  • 이광률
    • Journal of the Korean Geographical Society
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    • v.39 no.3
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    • pp.425-443
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    • 2004
  • Fluvial terraces is poorly developed along Bukhan River in Central Korea. Altitude from riverbed of T1 terraces are 18-29m, T2 terraces 2539m, respectively. Rubification index of T2 is 0.66, T1 is 0.54, and thickness of gravel weathering rind on gneiss of T2 are 14.0mm, granites of T2 are $\infty$, gneiss of T1 are 5.0mm and granites of T2 are 8.0mm, because weathering in deposits of T2 terraces, older than T1, is severer than T1 terraces. Since deposits in T2 have more active and longer weathering than T1, SiO$_2$/Al$_2$O$_3$ is 3.32 in T2 and 4.06 in T1, and SiO$_2$/R$_2$O$_3$ is 2.64 in T2 and 3.19 in T1. CIA(Chemical Index of Alteration) is 87.85% in T2 and 85.88% in T1. Kaolinite and halloysite are founded in deposits of T2 indicating high weathering, and are founded gibbsite made tv eluviation of kaolinite. However, deposits of T1 have no kaolinite, and are found plagioclase, weak mineral in weathering process. Comparing to previous researches by estimated age as altitude from riverbed, rubification index, thickness of gravel weathering rind, element contents and mineral composition, forming age of T2 terraces in Bukhan River are estimated in marine oxygen isotope stage 6 (130-190ka), and T1 terraces are marine oxygen isotope stage 4(59-74ka).

Quality Characteristics of Fermented Pork with Korean Traditional Seasonings (한국 전통 양념을 이용한 발효 돼지고기의 품질 특성)

  • Jin, S.K.;Kim, C.W.;Lee, S.W.;Song, Y.M.;Kim, I.S.;Park, S.K.;Hah, K.H.;Bae, D.S.
    • 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.

Implement IoT device Authentication System (IoT 단말 인증 시스템 구현)

  • Kang, Dong-Yeon;Jeon, Ji-Soo;Han, Sung-Hwa
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2022.10a
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    • pp.344-345
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    • 2022
  • ogy is being used in many fields, such as smart farms, smart oceans, smart homes, and smart energy. Various IoT terminals are used for these IoT services. Here, IoT devices are physically installed in various places. A malicious attacker can access the IoT service using an unauthorized IoT device, access unauthorized important information, and then modify it. In this study, to solve these problems, we propose an authentication system for IoT devices used in IoT services. The IoT device authentication system proposed in this study consists of an authentication module mounted on the IoT device and an authentication module of the IoT server. If the IoT device authentication system proposed in this study is used, only authorized IoT devices can access the service and access of unauthorized IoT devices can be denied. Since this study proposes only the basic IoT device authentication mechanism, additional research on additional IoT device authentication functions according to the security strength is required.IoT technol

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COMPARISON THEOREMS ON THE OSCILLATION OF A CLASS OF NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES

  • Karpuz, Basak;Ocalan, Ozkan
    • 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 $t\;{\geq}\;t_0$.