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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.

Estimation of the Sound Radiation Efficiency of the Hull Considering the Type and Natural Frequency of Plates of It (선체 구성 강판의 종류 및 고유진동수를 고려한 선체의 음향방사효율 추정)

  • Han, HyungSuk;Lee, KyungHyun;Park, SungHo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.12
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    • pp.1073-1081
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    • 2013
  • The definition of the radiation efficiency is very important to estimated underwater radiated noise of a ship. Considering the structure of the ship, it can be found that the hull of a ship consists of a lot of plates supporting by longitudinal and transverse stiffener. Therefore, various modes of the hull vibration occur related to the combination of these plates including stiffeners. In this paper, the method to define the radiation efficiency is suggested considering the vibration mode of the hull based on Uchida's experimental equation of the radiation efficiency. The suggested method is verified by the experiments with various kinds of naval vessels.

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.

Comparison of QSAR Methods (CoMFA, CoMSIA, HQSAR) of Anticancer 1-N-Substituted Imidazoquinoline-4,9-dione Derivatives

  • Suh, Myung-Eun;Park, So-Young;Lee, Hyun-Jung
    • Bulletin of the Korean Chemical Society
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    • v.23 no.3
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    • pp.417-422
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    • 2002
  • Comparison studies of the Quantitative Structure Activity Relationship (QSAR) methods with new imidazo-quinolinedione derivatives were conducted using Comparative Molecular Field Analysis (CoMFA), Comparative Molecular Similarity Indices Analysis (CoMSIA), and the Hologram Quantitative Structure Activity Relationship (HQSAR). When the CoMFA crossvalidation value, q2, was 0.625, the Pearson correlation coefficient, r2, was 0.973. In CoMSIA, q2 was 0.52 and r2 was 0.979. In the HQSAR, q2 was 0.501 and r2 was 0.924. The best result was obtained using the CoMSIA method according to a comparison of the calculated values with the real in vitro cytotoxic activities against human ovarian cancer cell lines.

Effect of capacitive coupling in superconducting coplanar waveguide resonator

  • Baek, Geonwoo;Kim, Bongkeon;Arif, Sara;Doh, Yong-Joo
    • Progress in Superconductivity and Cryogenics
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    • v.23 no.4
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    • pp.6-9
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    • 2021
  • Superconducting coplanar waveguide (SCPW) resonators with high quality (Q) factor are widely used for developing quantum sensors and quantum information processors. Here we conducted numerical simulations of SCPW resonators to investigate the relationship between the Q factor and the coupling capacitance of the resonator. Varying the geometrical shape of both ends and coupling parameters of the SCPW resonator resulted in a change of the coupling capacitances and the Q factor as well. Our calculation results indicate that the performance of the SCPW resonator is highly sensitive to the capacitive coupling and searching for an optimal coupling condition would be crucial for developing high-performance SCPW resonator.

Flow Characteristics and Optimal Design for RDT Sparger (원자로배수탱크내 Sparger에 대한 유동특성 및 최적설계)

  • Kim, Kwang-Chu;Park, Man-Heung;Park, Kyoung-Suk;Lee, Jong-Won
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.11
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    • pp.1390-1398
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    • 1999
  • A numerical analysis for ROT sparger of PWR(Pressurized Water Reactor) is carried out. Computation is performed to investigate the flow characteristics as the change of design factor. As the result of this study, RDT sparger's flow resistance coefficient is K=3.53 at the present design condition if engineering mar&in is considered with 20%, and flow ratio into branch pipe is $Q_s/Q_i=0.41$. Velocity distribution at exit is not uniform because of separation in branch pipe. In the change of inlet flow rate and section area ratio of branch pipe for main pipe, flow resistance coefficient is increased as $Q_s/Q_i$ decreasing, but in the change of branch angle and outlet nozzle diameter of main pipe, flow resistance coefficient is decreased as $Q_s/Q_i$ decreasing. As the change rate of $Q_s/Q_i$ is the larger, the change rate of flow resistance coefficient is the larger. The change rate of pressure loss is the largest change as section area ratio changing. The optimal design condition of sparger is estimated as the outlet nozzle diameter ratio of main pipe is $D_s/D_i=0.333$, the section area ratio is $A_s/A_i=0.2$ and the branch angle is ${\alpha}=55^{\circ}$.

The Determination and Prediction of Pine to Oak Forest Succession in Sugadaira, Central Japan

  • Jun, Kato;Hayashi, Ichiroku
    • The Korean Journal of Ecology
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    • v.26 no.4
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    • pp.155-163
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    • 2003
  • In order to analyze the succession process from a pine forest to an oak forest, the tree growth of Pinus densiflora and Quercus mongolica ssp. crispula was monitored in a permanent quadrat for 23 years. The measurements were carried out for the stem diameter (DBH) of Pinus densiflora between 1977 and 1999 and for the height of Quercus mongolica ssp. crispula saplings between 1998 and 2000. The floristic composition and the locations of the individual P. densiflora and Q. mongolica ssp. crispula trees and saplings in the quadrat were recorded. P densiflora and Q. mongolica ssp. crispula individuals were randomly distributed within the quadrat. The relative growth rates (RGR) of DBH in P. densiflora were 0.085 $yr^{-1}$ for large trees and 0.056 $yr^{-1}$ for small trees in 1977. The RGR of height for Q. mongolica ssp. crispula was 0.122 $yr^{-1}$. The growth curve for DBH of P. densiflora was approximated by the logistic equation: $$DBH(t) = 30 {[1+1.16exp(-0.13 t)]}^{-1}$$ where DBH (t) the DBH (cm) in year t and t is the number of years since 1977. The growth in height of P. densiflora and Q. mongolica ssp. crispula was described by following equations: $$H (t) = 20.2 {[1+0.407exp(-0.137 t)]}^{-1} (P. densiflora)$$ $$H (t) = 30 {[1+20.7exp(-0.122 t)}^{-1} (Q. mongolica ssp. crispula)$$ Where H (t) is the tree height (m) in year t and t is the number of years since 1977 in P. densiflora and 1998 in Q. mongolica ssp. crispula. With these equations we predicted that the height of Q. mongolica ssp. crispula increases from 2 m in 1999 to 20 m in 2029. Therefore, Q. mongolica ssp. crispula and P. densiflora will be approximately the same height in 2029. The years required for succession from a pine forest to an oak forest are expected 33 with the range between 23 and 44 years.

Mapping of Quantitative Trait Loci Associated with Viviparous Germination in Rice

  • Lee, Seung-Yeob;Ahn, Jeong-Ho;Cha, Young-Soon;Yun, Doh-Won;Lee, Myung-Cheol;Eun, Moo-Young
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.51 no.6
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    • pp.565-570
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    • 2006
  • The viviparous germination (VG) with lodging caused the yield reduction and quality deterioration in rice. We carried out the evaluation of VG tolerance (on the 40th day after heading) and mapping QTLs associated with VG tolerance using the recombinant inbred lines (M/G RILs) from a cross between Milyang 23 (japonica/indica) and Gihobyeo (japonica). The VG rates of Milyang 23 and Gihobyeo were 0.0 and 7.0%, respectively. The averaged VG rate of 162 M/G RILs was 7.7%, and their range was from 0.0 to 50.9%. Of the 162 RILs, 144 lines were tolerant less than 10%, and 18 lines were susceptible more than 10%. Using the M/G RIL Map, three QTLs associated with the viviparous trait were detected on chromosome 2 (qVG 2-1 and qVG 2-2) and 8 (qVG 8). qVG 2-1 was linked to RM 32D and RZ 166, and had LOD score of 2.97. qVG 2-2 was tightly linked to E13M59.119-Pl and E13M59.M003-P2, and showed higher LOD score of 3.41. qVG 8 was linked to RM33 and TCT116, and had LOD score of 2.67. The total phenotypic variance explained by the three QTLs was about 24.4% of the total variance in the population. The detection of new QTLs associated with VG tolerance will provide important informations for the seed dormancy, low temperature germination, or comparative genetics.

Comparative Quantification of LacZ (β-galactosidase) Gene from a Pure Cultured Escherichia coli K-12

  • Han, Ji-Sun;Kim, Chang-Gyun
    • Environmental Engineering Research
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    • v.14 no.1
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    • pp.63-67
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    • 2009
  • Escherichia coli K-12 (E. coli K-12) is a representative indicator globally used for distinguishing and monitoring dynamic fates of pathogenic microorganisms in the environment. This study investigated how to most critically quantify lacZ ($\beta$-galactosidase) gene in E. coli K-12 by two different real-time polymerase chain reaction (real-time PCR) in association with three different DNA extraction practices. Three DNA extractions, i.e., sodium dodecyl sulfate (SDS)/proteinase K, magnetic beads and guanidium thiocyanate (GTC)/silica matrix were each compared for extracting total genomic DNA from E. coli K-12. Among them, GTC/silica matrix and magnetic beads beating similarly worked out to have the highest (22-23 ng/${\mu}L$) concentration of DNA extracted, but employing SDS/proteinase K had the lowest (10 ng/${\mu}L$) concentration of DNA retrieved. There were no significant differences in the quantification of the copy numbers of lacZ gene between SYBR Green I qPCR and QProbe-qPCR. However, SYBR Green I qPCR obtained somewhat higher copy number as $1{\times}10^8$ copies. It was decided that GTC/silica matrix extraction or magnetic beads beating in combination with SYBR Green I qPCR can be preferably applied for more effectively quantifying specific gene from a pure culture of microorganism.

The impact of two doses of coenzyme Q10 on semen parameters and antioxidant status in men with idiopathic oligoasthenoteratozoospermia

  • Alahmar, Ahmed T
    • Clinical and Experimental Reproductive Medicine
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    • v.46 no.3
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    • pp.112-118
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    • 2019
  • Objective: Oxidative stress contributes to male infertility, and antioxidants have been recommended for treating idiopathic oligoasthenoteratozoospermia (OAT). There is, however, a lack of agreement on the type, dosing, and use of individual antioxidants or combinations thereof. The purpose of this study was to compare the effects of two doses of coenzyme Q10 (CoQ10) on semen parameters and antioxidant status in men with idiopathic OAT. Methods: In this prospective study, patients with idiopathic OAT received 200 mg/day (n = 35) or 400 mg/day (n = 30) of CoQ10 orally for 3 months. All patients underwent semen analysis according to the fifth editions of the World Health Organization criteria. Total antioxidant capacity (TAC), catalase (CAT) activity, and superoxide dismutase (SOD) activity were measured both before and after treatment. Results: Treatment with CoQ10 (200 mg/day or 400 mg/day) resulted in a significant increase in sperm concentration from baseline ($8.22{\pm}6.88$ to $12.53{\pm}8.11million/mL$, p= 0.019; $7.58{\pm}5.41$ to $12.33{\pm}6.1million/mL$, p= 0.002, respectively), progressive motility ($16.54%{\pm}9.26%$ to $22.58%{\pm}10.15%$, p=0.011; $14.22%{\pm}12.85%$ to $26.1%{\pm}14.52%$, p= 0.001, respectively), and total motility ($25.68%{\pm}6.41%$ to $29.96%{\pm}8.09%$, p= 0.016; $23.46%{\pm}12.59%$ to $34.82%{\pm}14.17%$, p= 0.001, respectively). CoQ10 therapy also increased TAC (p= 0.009, p= 0.001, respectively), SOD activity (p= 0.004, p= 0.001, respectively), and CAT activity (p= 0.039, p= 0.024, respectively). Furthermore, antioxidant measures correlated significantly with seminal fluid parameters (r = 0.36-0.76). Conclusion: CoQ10 supplementation improved semen parameters and antioxidant status in men with idiopathic OAT, with a greater improvement shown in men who took 400 mg/day than in those who took 200 mg/day.