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EXISTENCE OF NONNEGATIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS

  • Kim, RakJoong
    • 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.

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Comparative Study on the Attenuation of P and S Waves in the Crust of the Southeastern Korea (한국 남동부 지각의 P파와 5파 감쇠구조 비교연구)

  • Chung, Tae-Woong
    • Journal of the Korean earth science society
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    • v.22 no.2
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    • pp.112-119
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    • 2001
  • The Yangsan fault in the southeastern Korea has been receiving increasing attention in its seismic activity. In this fault region, by using the extended coda-normalization method for 707 seismograms of local earthquakes, were obtained 0.009f$^{-1.05}$ and 0.004f$^{-0.70}$ for fitting values of Q$_p^{-1}$ and Q$_s^{-1}$, respectively. These results indicate that Q$_p^{-1}$ and Q$_s^{-1}$ in the southeastern Korea is the lowest level in the world although the exponent values agree well with those in the other areas. The low Q-1 is not related to the movement of the Yangsan fault but to the tectonically inactive status like a shield area.

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Analysis of Plastic Hinge of Pile-Bent Structure with Varying Pile Diameters (단일형 현장타설말뚝의 소성힌지를 고려한 최적설계법 제안)

  • Ahn, Sang-Yong;Jeong, Sang-Seom;Kim, Jae-Young
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.349-356
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    • 2010
  • In this study, a new design method of pile bent structure considering plastic hinge was proposed on the basis of the beam-column model. Based on the analysis results, it is found that the positioning of plastic hinge on the pile bent structure was influenced by nonlinear behavior of material and p-$\Delta$ effect. Moreover, concrete cracking began to occur at the joint section between the pile and column in case of pile bent structure with different cross-sections. The plastic hinge can be developed on the pile bent structure when large displacement was occurred, and pile bent structures can be maintained well only if it is developed on the column part. Therefore, in this study, the optimized cross-section ratio between column and pile was analyzed to induce the plastic hinge at the joint section between the pile and column. Based on this, the optimized diameter ratio of pile and column can be obtained below the inflection point of the bi-linear curve depending on the relations between column-pile diameter ratio($D_c/D_p$) and normalized lateral cracking load ratio($F/F_{Dc=Dp}$). And through this study, it is founded that in-depth limit($L_{As}$=0.4%) normalized by the pile length($L_P$) are proportionally decreased as the pile length($L_P/D_P$) increases up to $L_P/D_P$=17.5, and beyond that in-depth limit converges to a constant value. Finally, it is found that the proposed limit depth by taking into account the minimum concrete-steel ratio would be more economical design of the pile bent structure.

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Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]

  • CHOI, JUNESANG;WANG, XIAOXIA;RATHIE, ARJUN K.
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.439-447
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    • 2015
  • Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series $F^{(3)}$(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric series. In this sequel, we also present three more interesting reduction formulas for the function $F^{(3)}$(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.

Characteristics of Particulate Atmospheric Polycyclic Aromatic Hydrocarbons Pollution in Residential/Roadside Areas of Metropolitan Cities and a Background Area (대도시의 주거/도로변 지역 및 배경 지역의 대기 중 입자상 다환 방향족 탄화수소의 특성)

  • Jang, Jong-Dae;Shin, Seung-Ho;Jo, Wan-Kuen
    • Journal of Environmental Science International
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    • v.19 no.7
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    • pp.861-869
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    • 2010
  • The present study aims to evaluate the characteristics of atmospheric polycyclic aromatic hydrocarbons (PAHs) pollution in roadside and residential areas of two Korean metropolitan cities (Seoul and Incheon) and a background area (Seokmolee). This purpose was established by analyzing temporal and spacial concentration distribution of total and 7 individual PAHs, which were extracted from ambient particulate matters, and by utilizing a multivariate statistical method (principal component analysis, PCA) for the qualitative determination of potential PAH sources. Target PAHs included benzo(a)anthracene (BaA), benzo(a)pyrene (BaP), benzo(b)fluoranthene (BbF), benzo(k)fluoranthene (BkF), chrysene (Chr), dibenzo(a,h)anthracene (DahA), and indeno(1,2,3-cd)pyrene (IcdP). For all surveyed sites, the concentrations of total PAHs were higher in winter season than in other seasons. However, the concentrations of individual PAHs varied with surveyed sites. In both residential and roadside sites of Seoul and Incheon, BbF revealed the highest atmospheric levels. For all 7 target PAHs, the ambient concentrations were higher in Seoul and Incheon than in a background area (Seokmolee). In both residential and roadside areas, the concentrations of 4 target PAHs (BaA, BbF, BkF, DahA) were higher in Incheon than in Seoul. However, both the residential and roadside Chr concentrations were comparable in Seoul and Incheon. In addition, the residential IcdP concentrations were higher in Incheon than in Seoul, whereas the roadside concentrations were higher in Seoul. The roadside and residential BaP concentrations exhibited the reverse result to the IcdP concentrations. An PCA analysis suggested that atmospheric PAHs in both residential and roadside areas would be due to combined effects of several potential sources such as gasoline- and diesel-fueled vehicles, coal/oil combustion, and waste incineration.

The Effect of Fluoride Agents on Artificial Carious Lesion - Fluoride Uptake, Enamel Solubility, and Microhardness - (불화물 도포에 의한 우식법랑질의 불소함량, 내산성 및 표면경도 변화)

  • Woo-Cheon Kee;Suk-Jin Hong;Sang-Dae Lee;Seong-Sook Jeong;Byung-Gook Kim
    • Journal of Oral Medicine and Pain
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    • v.21 no.1
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    • pp.7-14
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    • 1996
  • This study was performed to compare the anticarious effects of different fluoride agents(NaF, $NH_4F, TIF_4,$ APF gel, Elmex gel ) on artificial carious lesion. Enamel samples treated with 5 kinds of fluoride agents by pH cycling method were evaluated for fluorine uptake, enamel solubility, and microhardness. The results were as follows : 1. Greater fluoride uptakes were obtained in carious lesion treated with APF gel and $TiF_4$ solution than in that treated with other fluoride solutions. 2. TiF4 group was more resistant to acid than otter groups, but it was not significantly different with APF gel group. 3. Surface of enamel specimen was harkened by fluoride application and pH cycling. APF gel was more effective on enhancing surface hardness than control group. 4. APF gel, $NH_4F, TIF_4,$ solution were effective on fluoride uptake, enamel solubility, and microhardness.

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A Study on the Activities of Daily Living, Self-efficacy and the Health Promoting Behavior in Stroke Patients (뇌졸중 환자의 일상생활동작 수행능력, 자기효능감 및 건강증진행위에 관한 연구)

  • Park, Seon-Il;Cho, Bok-Hee
    • The Korean Journal of Rehabilitation Nursing
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    • v.7 no.2
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    • pp.149-158
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    • 2004
  • Purpose: The purpose of this study to analyze the relationship the activities of daily living(ADL), self-efficacy, and health promoting behaviors. Method: The research was a descriptive survey study. The subjects of this study were 115 hospitalized stroke patients to two General hospitals and one Oriental treatment hospital in G. Metropolitan. Data was collected through questionnaires from December 1st, 2003 to January 30th, 2004. The survey instruments used in the study Shah, Vanclay and Cooper's MBI(11 items), and Sherer and Maddux's self-efficacy(10 items), Walker, Sechrist, and Pender's HPLP(23 items) was developed by the researcher. The obtain data were analyzed with an SPSS 10.0 program using frequency, percentage, Cronbach's alpha, t-test, ANOVA, Duncan test, and Pearson's correlation coefficient. Result: The results were as follows; The level of ADL the score was 50.5, self-efficacy 40.4, and health promoting behavior 54.6. There were significant differences of ADL by general and disease related characteristics as follows : for monthly income(F=2.72, p= .048), duration of stroke(F=7.98, p= .001), number of attack(F=5.21, p= .007), operation (F=17.88, p= .000). There were significant differences of self-efficacy by general and disease related characteristics as follows : for monthly income(F=4.83, p= .003), number of attack (F= 6.20, p=. 003), operation(F=4.03, p= .047). There were significant differences of health promoti ng behaviors by general and disease-related characteristics as follows : for aphasia(F=4.24, p=.042). There were significant correlated between ADL and self-efficacy(r= .698, p=.000), self- efficacy and health promoting behavior(r=.398, p= .000), ADL and health promoting behavior(r= .235, p= .011). Conclusion: As a result, There was a significant correlation between ADL, self-efficacy and health promoting behaviors. There will be considered useful nursing intervention effect to progress, support health promoting behavior of stroke patients.

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A Comparative Study on Climacteric Symptom and Health Behavior in Climacteric Women according to Hormone Replacement Therapy(HRT) (호르몬 대체요법실시 갱년기 여성과 비실시 여성의 갱년기 증상과 건강행위 비교)

  • Lim Hyun Ja
    • Journal of Korean Public Health Nursing
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    • v.17 no.2
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    • pp.224-237
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    • 2003
  • Purpose : This study was designed to describe the relationship on climacteric symptom and health behavior according to hormone replacement therapy (HRT) in climacteric women. Method : Data were collected through self-reported questionaries which were constructed to include a climacteric symptom and health behaviors of climacteric women. The subjects for this study were 135 climacteric women between 45-65 years of age living in Kuri city. Among them. 65 were in the experimental group and the other 70 were in the control group. The data were analyzed by descriptive statistics, t-test, $x^2-test$, ANOVA, and Pearson Correlation Coefficient. Results : The results were as follows 1) There was no significant difference on the climacteric symptom between the group of women receiving HRT and those who did not (t=1.973, p=0.162). 2) The mean health behavior score for the group of women receiving HRT was significantly higher than those who did not(t=2.557, p=0.042). 3) The climacteric symptom and health behavior were positively correlated (r=.289, p=0.015) in women receiving HRT, while these were negatively correlated (r=-.242, p=0.043) in women without HRT. 4) Women in the HRT group showed higher climacteric symptom than the those In the control group in most items. 5) The mean score for health behavior was 2.76 in the hormone replacement therapy group and 2.35 for the control group. 6) For women in the experimental group, climacteric symptom was significantly different by the level of education (F=7.371, p=.001). 7) For women in the control group, climacteric symptom was significantly different by the number of children (F=2.873, p=.044), the level of education (F=5.616, p=.006), the number of abortion (F=3.231, p=.015), and the status of menstruation (F=4.129, p=.020). 8) For women in the experimental group, health behavior was significantly different by the level of education (F=7.351, p=.001), frequency of exercise (F=8.106, p=.000), and the status of menstruation (F=3.446, p=.032), 9) For women in the control group, health behavior was significantly different by frequency of the exercise (F=7.381, p=.001). Conclusion : This study results indicated that there was no association between the HRT and climacteric symptoms, while there was positive correlations between the HRT and health behavior. Therefore. it is assumed that HRT increases the positive health behavior of women.

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Relationship between Population Growth and Digestive Enzyme Activity of Rotifer Brachionus rotundiformis (Rotifer Brachionus rotundiformis의 개체군 성장과 소화효소 활성의 관계)

  • Kwon, O-Nam;Park, Heum-Gi
    • Journal of Aquaculture
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    • v.21 no.1
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    • pp.47-53
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    • 2008
  • The purpose of this study was to suggest that selecting method of rotifer with high activity of digestive enzymes for the enrichment effect of rotifer and the increasing of digestive enzymes of fish larvae. the populations assayed the activities of the digestive enzymes were randomly selected out of several population communities cultured with freshwater condensed Chlorella. The relationship with the population density and the growth rate of selected populations was shown to RD=5865 SGR-350.08(P<0.001). The relationships with fecundity of the growth rate and the population density were shown to F=-36.147 SGR+61.652(P<0.05) and F=-0.0085 RD+66.38(P<0.001), respectively. The relationships of the growth rate and the individual activities of digestive enzymes in rotifer were assayed to Amyl=-1.6482 SGR+3.2498(P<0.05), TAP=-0.8115 SGR+1.1361(P<0.001) and TGL+0.0055 SGR+0.0079(P=0.239), respectively. But in TG-lipase was not related significantly with the growth rate. Also the relationships of the fecundity and the individual activities of digestive enzymes in rotifer were shown to Amyl=0.0296 F+1.0981(P<0.001), TAP=0.0252 F+0.0975(P<0.001) and TGL=-6E-06 F+0.0113(P=0.915), respectively. But in TG-lipase was not related significantly with the fecundity. And the relationships with the specific activity of TG-lipase of the fecundity, the growth rate and the population density were TGL=-0.024 F+0.2332(P=0.132), TGL=0.1267 SGR+0.005(P<0.01) and TGL=0.0002 F-0.0594(P<0.001), respectively. In this case, specific activity of TG-lipase was shown the significant relationship with the population density and the growth rate, but it was not related significantly with fecundity. Therefore, Because a population shown the high activity of digestive enzymes for increasing a lipid enrichment effect of a rotifers and receiving the many exogenous digestive enzymes to fish larvae was the population of high fecundity than the population of high rotifer density, to select the population of a high fecundity was suggested to benefit than a high growth rate for fish larvae.

A Study on Health Promoting Lifestyle of Hospital Nurses (간호사의 건강증진 생활양식과 관련요인 연구)

  • Paik, Young Chu;Kim, In Sook
    • Korean Journal of Adult Nursing
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    • v.12 no.3
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    • pp.477-489
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    • 2000
  • The purpose of study was to assess how hospital nurses practice their health promoting lifestyle and to identify affecting factors. The subjects were 286 nurses working at three general hospitals in Kwang-ju. The data were collected by questionnaire from September 1st. to September 10th, 1999. The instruments for this study were the Health Promoting Lifestyle Profile developed by Walker et al., perceived health status scale developed by Ware et al., self-efficacy scale developed by Sherer et al., and social support scale developed by Cohen et al.. The data were analyzed with mean, standard deviation, t-test, ANOVA, Pearson's Correlation Coefficient and Stepwise Multiple Regression. The results of this study were as follows: 1. The mean score of health promoting lifestyle was 2.36. Interpersonal support showed the highest score(2.67) and health responsibility (1.92) showed the lowest score. The mean score of perceived health status was 3.07, self-efficacy was 2.62, and social support was 2.91. 2. The relationship between general characteristics of subjects and health promoting lifestyle showed significant differences according to duty cycle(t=4.15, p=.042), disease experience (t=5.18, p=.023), monthly income(F=3.13, p=.025), exercise frequency(F=9.12, p=.000), stress reliefe method(F=5.98, p=.000), job satisfaction(t=11.44, p=.000), and perceived fatigue(F=6.13, p=.002). 3. Health promoting lifestyle showed significant positive correlations with perceived health status (r=.2190, p=.0002), self-efficacy (r=.5137, p=.0001) and social support (r=.5181, p=.0001). 4. The combination of social support(27.1%), exercise frequency(10.4%), self-efficacy(8.8%), job satisfaction, perceived health status, perceived fatigue and explained 53.5% of the variance of health promoting lifestyle. Therefore, this study suggests that a replicate study is needed until more affecting factors other than health promoting lifestyle.

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