• Title/Summary/Keyword: U-Value

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HIGHER ORDER NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

  • Khan, Rahmat Ali
    • 대한수학회보
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    • 제51권2호
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    • pp.329-338
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    • 2014
  • In this paper, we study the method of upper and lower solutions and develop the generalized quasilinearization technique for the existence and approximation of solutions to some three-point nonlocal boundary value problems associated with higher order fractional differential equations of the type $$^c{\mathcal{D}}^q_{0+}u(t)+f(t,u(t))=0,\;t{\in}(0,1)$$ $$u^{\prime}(0)={\gamma}u^{\prime}({\eta}),\;u^{\prime\prime}(0)=0,\;u^{\prime\prime\prime}(0)=0,{\ldots},u^{(n-1)}(0)=0,\;u(1)={\delta}u({\eta})$$, where, n-1 < q < n, $n({\geq}3){\in}\mathbb{N}$, 0 < ${\eta},{\gamma},{\delta}$ < 1 and $^c\mathcal{D}^q_{0+}$ is the Caputo fractional derivative of order q. The nonlinear function f is assumed to be continuous.

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

  • Zhang, Ziheng
    • 대한수학회보
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    • 제53권5호
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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.

NEHARI MANIFOLD AND MULTIPLICITY RESULTS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN

  • Ghanmi, Abdeljabbar;Zhang, Ziheng
    • 대한수학회보
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    • 제56권5호
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    • pp.1297-1314
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    • 2019
  • In this work, we investigate the following fractional boundary value problems $$\{_tD^{\alpha}_T({\mid}_0D^{\alpha}_t(u(t)){\mid}^{p-2}_0D^{\alpha}_tu(t))\\={\nabla}W(t,u(t))+{\lambda}g(t){\mid}u(t){\mid}^{q-2}u(t),\;t{\in}(0,T),\\u(0)=u(T)=0,$$ where ${\nabla}W(t,u)$ is the gradient of W(t, u) at u and $W{\in}C([0,T]{\times}{\mathbb{R}}^n,{\mathbb{R}})$ is homogeneous of degree r, ${\lambda}$ is a positive parameter, $g{\in}C([0,T])$, 1 < r < p < q and ${\frac{1}{p}}<{\alpha}<1$. Using the Fibering map and Nehari manifold, for some positive constant ${\lambda}_0$ such that $0<{\lambda}<{\lambda}_0$, we prove the existence of at least two non-trivial solutions

Positive Solutions of Nonlinear Neumann Boundary Value Problems with Sign-Changing Green's Function

  • Elsanosi, Mohammed Elnagi M.
    • Kyungpook Mathematical Journal
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    • 제59권1호
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    • pp.65-71
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    • 2019
  • This paper is concerned with the existence of positive solutions of the nonlinear Neumann boundary value problems $$\{u^{{\prime}{\prime}}+a(t)u={\lambda}b(t)f(u),\;t{\in}(0,1),\\u^{\prime}(0)=u^{\prime}(1)=0$$, where $a,b{\in}C[0,1]$ with $a(t)>0,\;b(t){\geq}0$ and the Green's function of the linear problem $$\{u^{{\prime}{\prime}}+a(t)u=0,\;t{\in}(0,1),\\u^{\prime}(0)=u^{\prime}(1)=0$$ may change its sign on $[0,1]{\times}[0,1]$. Our analysis relies on the Leray-Schauder fixed point theorem.

창호의 열관류율, 일사취득계수와 향의 배치가 건물의 냉난방 부하에 미치는 영향에 관한 지역별 비교연구 (Comparative Analysis on the Heating and Cooling Loads Associated with U-value, SHGC and Orientation of the Windows in Different Regions)

  • 최민서;장성주
    • KIEAE Journal
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    • 제13권2호
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    • pp.123-130
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    • 2013
  • The primary goal of this research is to identify the impacts of window design on the energy use in buildings which takes up about 25% of the total energy consumption. Recently, efficient use of energy is gaining more importance in buildings. Window design, especially being dependent on glazing performance choices, is an important factor for reducing energy consumption in most of the buildings. It also is influenced by the latitude of the site and window orientation. This paper aims at identifying the influence of Window performance indicators(U-value, SHGC), orientation and latitude on the building energy consumption with systematically designed simulations. Comparative study has been performed for five different locations; Greenland, Korea, Singapore, Argentina and Chile along with the different window U-value and SHGC values. The results show that optimum window system with properly coordinated window performance indicators(U-value, SHGC), orientation achieves dramatic reduction of energy consumptions. Windows with low U-value could reduce heating loads and high SHGC could reduce cooling loads. The study also verifies that the windows installed at south facade is more energy efficient in the northern hemisphere while windows facing north is more energy efficient in the southern hemisphere.

A study on direct-to-consumer and intermediated marketing for the 6th industrialization in the U. S. agricultural sector

  • Kim, Sounghun
    • 농업과학연구
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    • 제45권2호
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    • pp.308-316
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    • 2018
  • The Korean government introduced the $6^{th}$ industrialization in the agricultural sector to increase farmers' income and value-added agricultural products. The U.S. government has also supported farmers' efforts to increase their income and value-added products in a similar way even though the $6^{th}$ industrialization is not the usual concept in the U.S. Especially, direct-to-consumer and intermediated marketing is one of the main methods to increase farmers' income and value-added agricultural products in the U.S. The purpose of this paper was to analyze direct-to-consumer and intermediated marketing in the U.S., through a survey and frequency analysis. The results of this study are as follows: First, U.S. farmers have shifted their concern and efforts from direct-to-consumer marketing to intermediated marketing because intermediated marketing may offer higher value-added agricultural products. However, consumers' perception and interest are higher for direct-to-consumer marketing than for intermediated marketing of agricultural products and related services. Consumers also will increase the portion of consumption of agricultural products and related services through direct-to-consumer marketing. This difference between farmers and consumers may cause difficulties in increasing farmers' income and value-added agricultural products in the U.S. Korean farmers may have same problem in the future, even though they have not encountered it yet. Especially, the Korean government needs to develop the capabilities of farmers so that they can solve this problem.

A MULTIPLICITY RESULT FOR FOURTH-ORDER BOUNDARY VALUE PROBLEMS VIA CRITICAL POINTS THEOREM

  • Zou, Yu-Mei
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1541-1547
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    • 2011
  • In this paper, using B.Ricceri's three critical points theorem, we prove the existence of at least three classical solutions for the problem $$\{u^{(4)}(t)={\lambda}f(t,\;u(t)),\;t{\in}(0,\;1),\\u(0)=u(1)=u^{\prime}(0)=u^{\prime}(1)=0,$$ under appropriate hypotheses.

CA 72-4 참고치 설정에 관한 연구 (A Study on Establishment of Reference Value of CA 72-4)

  • 안재석;김지나;조예지;윤상혁;김윤철
    • 핵의학기술
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    • 제25권2호
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    • pp.25-28
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    • 2021
  • CA 72-4는 두 종류의 단일클론항체 CC49와 B72.3을 사용하여 혈청 내 종양관련단백인 TAG-72(tumor associated glycoprotein 72)를 측정 하여 결과를 나타내는 종양표지자이다. CA 72-4는 위암, 난소암, 췌장암등의 진단에 사용되고 있으며 특히 위암에 높은 특이도를 나타내는 것으로 알려져 있다. 본 연구는 CA 72-4의 참고치 재검증을 통하여 제조사에서 제공하는 참고치를 재평가 하고, 나아가 임상에서 보다 정확한 진단을 내리는데 유용한 도움을 주고자 진행하였다. 2020년 11월 국립암센터 건강검진센터에서 건강검진을 진행한 환자 271명을 대상으로 하였다. 대상자의 성별은 남자 140명 여자 131명 이었고, 30대부터 60대까지의 환자를 대상으로 진행하였다. 시약은 CA 72-4 IRMA KIT (ISOTOPES, Hungary)를 사용하였고, 감마카운터는 Dream Gamma-10(신진메딕스, Korea)을 사용하여 측정하였다. 종양표지자 참고치 설정 시 주로 사용하는 Hoffmann 법과 Bayesian 법으로 통계처리 하였다. 대상자 271명의 CA72-4를 측정한 결과 평균(Mean, M)값은 4.54 U/mL 이었고 중앙값(Median)은 3.30 U/mL 이었다. 3SD(standard deviation)를 벗어난 24명의 값을 제외하고 측정한 결과 M값은 3.53 U/mL, 중앙값은 3.00 U/mL, SD는 1.89 이었다. 이 값을 토대로 계산한 참고치 값은 7.31 U/mL 이었다. 제조사에서 제공되는 참고치는 4 U/mL 이하이며 이것은 본 연구에서 계산되어진 값인 7.31 U/mL과는 다소 차이가 있어 검사실 환경에 맞게 참고치 재설정이 필요해 보인다. 현재 국립암센터 위암센터에서는 지속적으로 현재 사용하고 있는 참고치에 관하여 문의가 오고 있다. 이번에 진행된 연구와 더불어 추가적인 연구를 진행한다면 보다 정확한 참고치 설정이 가능할 것이다.

유비쿼터스의 특성에 따른 사용자 중심의 u-서비스 가치 분류체계 (Proposing User-Oriented u-Service Classification by Ubiquitous Characteristic)

  • 우혁준;이정훈;박소연
    • 한국IT서비스학회지
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    • 제10권2호
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    • pp.119-139
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    • 2011
  • The concept of ubiquitous is being applied on diverse industry fields as a new growth engine in Korea. With constructing u-City, new services which are called 'ubiquitous services' are developed actively. Even though there are active movement to develop u-service, there is no clear definition of what service can be defined as ubiquitous service. Given that this study proposes a u-service value classification framework focusing on services' characteristics. We conducted experts' group interviews to analyze new operating or developing services whether it can be ubiquitous. Study results show that some services are hard to be defined as u-service, so this study offers possible improvement alternative. The u-service value classification which offers clear definition of u-service can be used for the practitioners offering measurement framework of u-service level.