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EXISTENCE OF SOLUTION FOR A FRACTIONAL DIFFERENTIAL INCLUSION VIA NONSMOOTH CRITICAL POINT THEORY

  • YANG, BIAN-XIA;SUN, HONG-RUI
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.537-555
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    • 2015
  • This paper is concerned with the existence of solutions to the following fractional differential inclusion $$\{-{\frac{d}{dx}}\(p_0D^{-{\beta}}_x(u^{\prime}(x)))+q_xD^{-{\beta}}_1(u^{\prime}(x))\){\in}{\partial}F_u(x,u),\;x{\in}(0,1),\\u(0)=u(1)=0,$$ where $_0D^{-{\beta}}_x$ and $_xD^{-{\beta}}_1$ are left and right Riemann-Liouville fractional integrals of order ${\beta}{\in}(0,1)$ respectively, 0 < p = 1 - q < 1 and $F:[0,1]{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ is locally Lipschitz with respect to the second variable. Due to the general assumption on the constants p and q, the problem does not have a variational structure. Despite that, here we study it combining with an iterative technique and nonsmooth critical point theory, we obtain an existence result for the above problem under suitable assumptions. The result extends some corresponding results in the literatures.

The Relaxation of Nonlinear Optical Properties in a Poled Polymer (극화된 고분자에서 비선형 광학특성의 완화)

  • Jung, Chi-Sup
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.23 no.6
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    • pp.491-496
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    • 2010
  • The relaxation behavior of aligned electric dipoles in a mixed polymer of P2ANS with P(VDF-TrFE) is studied with optical second harmonic generation (SHG). In this work, a macroscopic noncentrosymmetry of the spin coated film was achieved by an electrical poling. The relaxation of induced polar order of nonlinear optic(NLO) chromophores after poling leads to an insufficient long-term stability of NLO properties. In this work, we develop a new technique to suppress such kind of dipole relaxation in a poled polymer. We found that the poled dipoles in a NLO polymer were effectively immobilized by the internal electric field created by a thermally annealed ferroelectric polymer. The long-term stability in a mixed system of NLO polymer/ferroelectric polymer was successively accomplished by a series of thermal treatments applied to the mixed polymer system at a temperature of $140^{\circ}C$ for at least 1hour after poling.

Cherry Tomato Supplementation Reduces Cardiovascular Risk

  • Koh, Jong-Ho;Lim, Young-Hee;Hwang, Dahyun
    • Biomedical Science Letters
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    • v.23 no.4
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    • pp.321-326
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    • 2017
  • Tomatoes are rich in nutrients and have many beneficial advantages on human health. Four cherry tomato supplementation diets (CTSDs) were prepared from the juice and cake of fresh and processed (heat-treated) cherry tomatoes. Rats were fed CTSDs for 28 days and the changes in health indices in the serum were analyzed. CTSDs significantly decreased (P < 0.05) food efficiency ratio compared with the control. CTSD feeding significantly increased (P < 0.05) the high-density lipoprotein cholesterol level compared with the control, which resulted in a significant (P < 0.05) decrease in coronary artery risk index and atherogenic index. Furthermore, CTSD feeding increased serum serotonin level. These results indicate that CTSD shows antihyperlipidemic effect.

A Study on the Relationships among Spiritual well-being, Aggression, and Happiness of the Students in Christian Universities (기독대학생의 영적안녕, 공격성, 및 행복감과의 관계)

  • Kong, Eun-Suk;Seo, Hye-Seok
    • Journal of the Korean Society of School Health
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    • v.23 no.2
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    • pp.266-275
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    • 2010
  • Purpose: The aims of this study is to examine the relationships among spiritual well-being, aggression and happiness of the students in two Christian Universities. Methods: The data were collected from 486 students who were attending Christian Universities in Jeonbuk province. General characteristics, mean value, and correlations were performed using SPSS 18.0 Program to analyze the data. Results: The mean value of the spiritual well-being was 72.03 (SD=9.80), the mean value of aggression was 67.56 (SD=13.90), and the mean value of happiness was 19.54 (SD=4.23). Relationships between spiritual well-being and aggression showed negative correlation ((r=-.251, p<.01), between spiritual well-being and happiness showed positive correlation (r=.455, p<.01), and between happiness and aggression showed negative correlation (r=-.305, p<.01). Conclusion: The findings of this study provide basic data for the development of education programs for personality training and curriculum.

Variations of SCN Space in Metabolic Acidosis and Alkalosis in Rabbits (대사성 산증 및 알칼리증에 있어서 SCN 공간의 변화)

  • Earm, Yung-E;Nam, Kee-Yong
    • The Korean Journal of Physiology
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    • v.5 no.2
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    • pp.41-44
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    • 1971
  • Thiocyanate space was determined in 23 bilaterally nephrectomized rabbits in acute metabolic acidosis and alkalosis. Acid-base disturbances were induced by the infusion of 0.3 N HCI or 0.3 N NaOH solution intravenously with the rate of 1 ml/min for 40 to 60 minutes. The blood pressure was monitored throughout the experiment and no changes in blood pressure was confirmed. The following results were obtained. 1. In the saline infused control rabbits, PH was 7.385 with negligible change in pH after the infusion, SCN space was 23.6% of body weight. 2. In the metabolic acidosis group, pH dropped from 7.417 to 7 130 and SCN space was 22.8% of body weight and suggested a negligible change in the extracellular space volume. 3. In the metabolic alkalosis group, pH increased from 7.393 to 7.478 and SCN space was 25.7% of body weight which confirmed a significant increase in the extracellular space volume.

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An efficient exponentiation method against side channel attacks in Torus-Based-Cryptosystem (TBC에서 부채널공격을 고려한 효율적인 지수 연산)

  • Park, Young-Ho;Chang, Nam Su
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.23 no.3
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    • pp.561-566
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    • 2013
  • We propose an efficient exponentiation method which is resistant against some side channel attacks in $T_2(p)$, Torus-Based-Cryptosystem. It is more efficient than the general exponentiation method in $T_2(p)$ and is resistant against SPA by using that the difference of squaring and multiplication costs is negligible. Moreover, we can randomize a message in exponentiation step using the characteristic of quotient group which naturally protects against the first DPA.

Effects of Depression, Self-Esteem, and Social Support on Suicidal Ideation in College Students (대학생의 우울, 자존감, 사회적 지지가 자살생각에 미치는 영향)

  • Park, Younghee
    • Child Health Nursing Research
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    • v.23 no.1
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    • pp.111-116
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    • 2017
  • Purpose: This study was done to examine whether depression, self-esteem, and social support influence suicidal ideation among college students. Methods: Using a correlation study design, participants were recruited from two universities selected by convenience sampling. Data were collected from June 1, to August 31, 2014 from the 206 participants included in the study. The data were analyzed using SPSS / Win 18.0. Results: There was a significant correlation between depression, self esteem, social support, and suicidal ideation. Suicidal ideation was negatively correlated with self-esteem (r=-.64, p<.001) and social support (r=-.45, p<.001), while, suicidal ideation showed a positive correlation with depression (r=.69, p<.001). The significant predictors related to suicidal ideation were depression, self-esteem, and social support. Conclusion: Findings indicate that sensitively assessing depression in college students and efforts to reduce depression can reduce the risk of suicide. Self-esteem and social support of college students are also important resources for suicide prevention.

HOLOMORPHIC FUNCTIONS ON THE MIXED NORM SPACES ON THE POLYDISC

  • Stevic, Stevo
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.63-78
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    • 2008
  • We generalize several integral inequalities for analytic functions on the open unit polydisc $U^n={\{}z{\in}C^n||zj|<1,\;j=1,...,n{\}}$. It is shown that if a holomorphic function on $U^n$ belongs to the mixed norm space $A_{\vec{\omega}}^{p,q}(U^n)$, where ${\omega}_j(\cdot)$,j=1,...,n, are admissible weights, then all weighted derivations of order $|k|$ (with positive orders of derivations) belong to a related mixed norm space. The converse of the result is proved when, p, q ${\in}\;[1,\;{\infty})$ and when the order is equal to one. The equivalence of these conditions is given for all p, q ${\in}\;(0,\;{\infty})$ if ${\omega}_j(z_j)=(1-|z_j|^2)^{{\alpha}j},\;{\alpha}_j>-1$, j=1,...,n (the classical weights.) The main results here improve our results in Z. Anal. Anwendungen 23 (3) (2004), no. 3, 577-587 and Z. Anal. Anwendungen 23 (2004), no. 4, 775-782.

Molecular Dynamics Simulation Studies of Benzene, Toluene, and p-Xylene in a Canonical Ensemble

  • Kim, Ja-Hun;Lee, Song-Hui
    • Bulletin of the Korean Chemical Society
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    • v.23 no.3
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    • pp.441-446
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    • 2002
  • We have presented the results of thermodynamic, structural and dynamic properties of liquid benzene, toluene, and p-xylene in canonical (NVT) ensemble at 293.15 K by molecular dynamics (MD) simulations. The molecular model adopted for these molecules is a combination of the rigid body treatment for the benzene ring and an atomistically detailed model for the methyl hydrogen atoms. The calculated pressures are too low in the NVT ensemble MD simulations. The various thermodynamic properties reflect that the intermolecular interactions become stronger as the number of methyl group attached into the benzene ring increases. The pronounced nearest neighbor peak in the center of mass g(r) of liquid benzene at 293.15 K, provides the interpretation that nearest neighbors tend to be perpendicular. Two self-diffusion coefficients of liquid benzene at 293.15 K calculated from MSD and VAC function are in excellent agreement with the experimental measures. The self-diffusion coefficients of liquid toluene also agree well with the experimental ones for toluene in benzene and for toluene in cyclohexane.

A Chelating Resin Containing 2-(2-Thiazolylazo)-5-dimethylaminophenol as the Functional Group: Synthesis and Sorption Behavior for Some Trace Metal Ions

  • Lee, Won;Lee, Si-Eun;Kim, Mi-Kyoung;Lee, Chang-Heon;Kim, Young-Sang
    • Bulletin of the Korean Chemical Society
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    • v.23 no.8
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    • pp.1067-1072
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    • 2002
  • A new polystyrene-divinylbenzene resin containing 2-(2-thiazolylazo)-5-dimethylamino-phenol (TAM) functional groups has been synthesized and its sorption behavior for nineteen metal ions, including Zr(Ⅳ),Hf(Ⅳ) and U(Ⅵ) has been investigated by batch and column methods. The chelating resin showed high sorption affinity for Zr(Ⅳ) at pH 1-5 and U(Ⅵ) at pH 4. Some parameters affecting the sorption of the metal ions have been detailed. The breakthrough and overall capacities were measured under optimized conditions. The overall capacities of Zr(Ⅳ), Th(Ⅳ) and U(Ⅵ), which showed higher than the other metal ions, were 0.90,0.84 and 0.80 mmol/g, respectively. The elution order of metal ions at pH 4 was evaluated as Zr(Ⅳ) > Th(Ⅳ) > U(Ⅵ) > Cu(Ⅱ) > Hf(Ⅳ) > W(Ⅵ) > Mo(Ⅵ) > In(Ⅲ) > Sn(Ⅳ) > Cr(Ⅲ) > V(Ⅴ) > Fe(Ⅲ). Quantitative recovery of most metal ions except Zr(Ⅳ) was achieved using 2M HNO3. Desorption and recovery of Zr(Ⅳ) was successfully performed with 2 M HClO4 and 2 M HCl.