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SOLUTIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEM WITH MIXED NONLINEARITIES

  • Zhang, Ziheng
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1585-1596
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    • 2016
  • In this paper we investigate the existence of nontrivial solutions for the following fractional boundary value problem (FBVP) $$\{_tD_T^{\alpha}(_0D_t^{\alpha}u(t))={\nabla}W(t,u(t)),\;t{\in}[0,T],\\u(0)=u(T)=0,$$ where ${\alpha}{\in}(1/2,1)$, $u{\in}{\mathbb{R}}^n$, $W{\in}C^1([0,T]{\times}{\mathbb{R}}^n,{\mathbb{R}})$ and ${\nabla}W(t,u)$ is the gradient of W(t, u) at u. The novelty of this paper is that, when the nonlinearity W(t, u) involves a combination of superquadratic and subquadratic terms, under some suitable assumptions we show that (FBVP) possesses at least two nontrivial solutions. Recent results in the literature are generalized and significantly improved.

A Method of Defense and Security Threats in U-Healthcare Service (U-Healthcare서비스의 보안 위협과 대응 방법)

  • Lee, Keun-Ho
    • Journal of the Korea Convergence Society
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    • v.3 no.4
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    • pp.1-5
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    • 2012
  • The fast-paced development in the field of U-Healthcare, which is available anytime and anywhere, is being underway in accordance with the development of IT technology. U-Healthcare technology has various security threats because it is based on network. The purpose of this paper is to examine the threats of DOS / DDOS attacks based on network attacks, and to propose the response technique that fit the situation of the U-Healthcare service by modifying the existing Detecting Early DOS / DDOS attacks through Packet Counting.

Production and Characterization of New Structured-oligosaccharides from Mixed-enzyme of Dextransucrase and ${\alpha}$-amylase (Dextrnasucrase와 ${\alpha}$-amylase의 혼합효소를 이용한 새로운 구조의 올리고당 생산 및 특성 연구)

  • Lee, In-Su;Kim, Do-Man;Chang, Pahn-Shick
    • KSBB Journal
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    • v.14 no.6
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    • pp.707-712
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    • 1999
  • We have produced new-structured oligosaccharides using mixed-enzyme reactor of dextransucrase from Leuconostoc mesenterides B-512FMCM and ${\alpha}$-amylase. When the concentrations of sucrose and starch were 10%(w/v) and 5%(w/v), respectively, the maximum yield of oligosaccharides with both dextransucrase(100U) and ${\alpha}$-amylase(1000U) was 66.4%. The activity of dextransucrase in mixed-enzyme reactor was increased about 2.5 times by acceptor reaction with starch hydrolyzates. As the activities of dextransucrase:${\alpha}$-amylase were increased from 20U:200U to 500U:5000U, the amount of polymer was increased and the yield of oligosaccharides was decreased. By the addition of sucrose into mixed-enzyme reactor following the prehydrolysis of starch with ${\alpha}$-amylase, the yield was increased up to 12% compared with that of mixed-enzyme reactor without the addition of starch hydrolyzate. New structured-oligosaccharides showed heat resistance up to 140$^{\circ}C$ and was stable in acidic condition at pH 3~6.

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Capability Assessment on Meteorological Technology - Comparative Study of Technological Prowess on Korea, U.S., and Japan - (국가 기상기술력 수준 평가 - 한국, 미국, 일본을 대상으로 한 비교 연구 -)

  • Kim, Se-Won;Park, Gil-Un;Cho, Changbum;Lee, Young-Gon;Yim, Deok-Bin
    • Atmosphere
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    • v.21 no.3
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    • pp.319-336
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    • 2011
  • The objective of this study was to assess the meteorological capability of Korea by comparing with that of the U.S. and Japan as of 2010. The research was conducted based on various indices and surveys, and quantified the results using the Gordon's scoring model. The index assessment used 11 items derived from 9 segments - surface observation, advanced observation and observations quality in the observation field; data assimilation, numerical model and infrastructure in the data processing field; forecast accuracy in the forecast field; climate prediction and climate change in the climate field - in this research, we classified the meteorological technology into four fields. In the survey assessment, another 10 items in addition to the above 11 ones (total 21 items) were used. In the field of climate, Korea was found to lag far behind the U.S. (96.5p) and Japan (90.5p) with 77.6 points out of 100, which is 18.9 and 12.9 points lower than them respectively. On the other hand, Korea showed the narrowest gap with Japan (95.3p) and the U.S. (94.2) in the forecasting field, recording 90.3 points. Particularly, in surface observation, infrastructure and forecast accuracy segment, Korea was on a par with the U.S. and Japan, boasting 100.5 percent compared to their counterparts. However, in advanced observation, data quality and climate change segment, Korea was only at the level of 81.5 percent compared to that of the U.S. and Japan. All in all, the technological prowess of Korea, scoring 84.6 points, stood at 89.7 percent of that of the U.S. (94.3p) and 91.9 percent of Japan (92.1p).

THE EFFECT OF CAVITY CONFIGURATION ON MARGINAL LEAKAGE OF CLASS 5 RESTORATION (와동형태가 5급 와동 수복물의 변연누출에 미치는 영향)

  • Park, Jeong-Kil;Hur, Bock;Lee, Hee-Ju
    • Restorative Dentistry and Endodontics
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    • v.26 no.2
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    • pp.162-170
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    • 2001
  • The purpose of this study was to investigate the effect of cavity configurations on the marginal leakage of class 5 glass ionomer cement and composite resin restorations. Four types of cavities such as saucer shape. notch shape. combined shape(notch shape occlusally and saucer shape gingivally). and U shape were prepared on the buccal and lingual surfaces of 80 extracted premolars(40 cavities for each shape). Occlusal cavity margins were placed at enamel and cervical margins were placed at dentin. 10 cavities of each shape were restored with Ketac Fil as a conventional glass ionomer cement. Fuji II LC improved as a resin modified glass ionomer cement, Z 100 as a hybrid composite resin. and Tetric Flow as a flowable composite resin (40 cavities for each material). After thermocycling, teeth were immersed in 5% basic fuchsin solution for 6 hours and sectioned longitudinally in a buccolingual direction through the center of the restoration. The dye penetrations at the tooth restoration interface were examined by stereomicroscope. The Result were as follows 1. In saucer shape, notch shape and combined shape, composite resin restorations showed lesser leakage than glass ionomer restorations(p<0.05) and in U shape. Tetric Flow showed the least marginal leakage and others were decreased as Z 100. Fuji II LC improved, Ketac Fil in that order. There were statistically significant difference between Tetric Flow and Fuji II LC improved. Ketac Fil and between Z 100 and Ketac Fil(p<0.05). 2. In Ketac Fil restoration group, saucer shape showed the highest marginal leakage and U shape showed the least marginal leakage and others were decreased as notch shape, combined shape in that order. There were statistically significant difference between saucer shape and combined shape, U shape and between notch shape and U shape(p<0.05). 3. In Fuji II LC improved restoration group, U shape showed the least marginal leakage. There were statistically significant difference between U shape and other three shapes(p<0.05). 4. The cavity configuration had no significant effect on marginal leakage of composite resin restorations(p>0.05).

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Application of Laser Ablation Inductively Coupled Plasma Mass Spectrometry for Characterization of U-7Mo/Al-5Si Dispersion Fuels

  • Lee, Jeongmook;Park, Jai Il;Youn, Young-Sang;Ha, Yeong-Keong;Kim, Jong-Yun
    • Nuclear Engineering and Technology
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    • v.49 no.3
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    • pp.645-650
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    • 2017
  • This technical note demonstrates the feasibility of using laser ablation inductively coupled plasma mass spectrometry for the characterization of U-7Mo/Ale5Si dispersion fuel. Our measurements show 5.0% Relative Standard Deviation (RSD) for the reproducibility of measured $^{98}Mo/^{238}U$ ratios in fuel particles from spot analysis, and 3.4% RSD for $^{98}Mo/^{238}U$ ratios in a NIST-SRM 612 glass standard. Line scanning allows for the distinction of U-7Mo fuel particles from the Al-5Si matrix. Each mass spectrum peak indicates the presence of U-7Mo fuel particles, and the time width of each peak corresponds to the size of that fuel particle. The size of the fuel particles is estimated from the time width of the mass spectrum peak for $^{98}Mo$ by considering the scan rate used during the line scan. This preliminary application clearly demonstrates that laser ablation inductively coupled plasma mass spectrometry can directly identify isotope ratios and sizes of the fuel particles in U-Mo/Al dispersion fuel. Once optimized further, this instrument will be a powerful tool for investigating irradiated dispersion fuels in terms of fission product distributions in fuel matrices, and the changes in fuel particle size or shape after irradiation.

Effects of PMSG and $PGF_{2\alpha}$ treatments on the induction of estrus fromthe anestrus sows (PMSG 및 $PGF_{2\alpha}$ 처리에 의한 무발정빈돈의 발정유기에 관한 연구)

  • 임경순
    • Korean Journal of Animal Reproduction
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    • v.5 no.2
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    • pp.56-59
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    • 1981
  • The sows which had not returned estrus since 15 to 152 days after weaning were treated with PMSG or PGF2$\alpha$ to induce estrus and inseminated to conceive on that estrus. 1. Eight (83%) among 12 sows treated with PMSG came into estrus on average 5.3 days after treatment. 2. The one sow which didn't show any estrus by treatment of PMSG showed an estrus by intramuscular use of 10mg PGF2$\alpha$ and the other one showed an estrus by another intramuscular use of 1000 I.U. of PMSG at 15 days after first injection of PMSG. 3. The one sow injected with Vit. A.D.E. complex(Injacom) (Vit. A 500,000 I.U., Vit. D. 75,000 I.U., and Vit. E. 50 I.U. per ml) on 6 days before PMSG injection showed an estrus on 6 days after PMSG injection and farrowed 8 piglets. 4. Five among 10 sows showed an estrus by treatment of PMSG or PGF2$\alpha$ were pregnant and litter size of the four farrowed sows averaged 9.5.

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Accumulation of Selenium and Changes in the Activity of Inulinase and Catalase in the Cells of Kluyveromyces marxianus on Pulsed Electric Field Treatment

  • Pankiewicz, Urszula;Jamroz, Jerzy
    • Journal of Microbiology and Biotechnology
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    • v.20 no.7
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    • pp.1101-1106
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    • 2010
  • Pulsed electric field (PEF) of 1Hz, 1.5 kV, and 1ms increased the activities of catalase and inulinase over the whole range of applied Se concentrations compared with the non-treated cultures. A significant effect of selenium concentration (in the range of 5-14 ${\mu}g/ml$) on both intra- and extracellular enzyme activities was noted. At a Se concentration of 10 ${\mu}g/ml$, the activities of intra- and extracellular inulinases and extracellular catalase in the PEF-treated cultures reached the maximum of 71 U/g d.m., 46 U/g d.m., and approx. 8 U/ml, respectively. The maximum activity of intracellular catalase of approx. 6 U/ml (with and without PEF) was recorded at 5 ${\mu}g$ Se/ml. Further increasing of selenium concentration caused a decrease in the activity of the enzymes.

Grapefruit Seed Extract (DF-100) Treatment of Poultry to Reduce Attached Salmonella

  • Mike F. Slavik;Kim, Jeong-Weon;Phil L. Matsler;Hong Wang
    • Journal of Food Hygiene and Safety
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    • v.11 no.1
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    • pp.7-10
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    • 1996
  • Chicken skins or carcasses inoculated with Salmonella typhimurium were exposed to 0.1 or 0.5% grapefruit seed extracts (DF-100) for 1 or 3 min to evaluate antibacterial activity of DF-100 and its possible application in proultry processing. The numbers of live salmonellae on chicken skins were reduced by 0.8-1.2 logs/cm2 with 0.5% DF-100. Dipping chicken carcasses into 0.5% DF-100 for 3 min reduced salmonelae by 4.3 logs/carcass. Scanning electron microscopy showed that DF-100 killed the cells attached but did not detach cells from the skin. No odor or changes in the color of chicken skin were detected after DF-100 treatment.

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MULTIPLE SOLUTIONS TO DISCRETE BOUNDARY VALUE PROBLEMS FOR THE p-LAPLACIAN WITH POTENTIAL TERMS ON FINITE GRAPHS

  • CHUNG, SOON-YEONG;PARK, JEA-HYUN
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1517-1533
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    • 2015
  • In this paper, we prove the existence of at least three nontrivial solutions to nonlinear discrete boundary value problems $$\{^{-{\Delta}_{p,{\omega}}u(x)+V(x){\mid}u(x){\mid}^{q-2}u(x)=f(x,u(x)),x{\in}S,}_{u(x)=0,\;x{\in}{\partial}S}$$, involving the discrete p-Laplacian on simple, nite and connected graphs $\bar{S}(S{\cup}{\partial}S,E)$ with weight ${\omega}$, where 1 < q < p < ${\infty}$. The approach is based on a suitable combine of variational and truncations methods.