• Title/Summary/Keyword: u-value

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THREE-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

  • Khan, Rahmat Ali
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.221-228
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    • 2013
  • The method of upper and lower solutions and the generalized quasilinearization technique is developed for the existence and approximation of solutions to boundary value problems for higher order fractional differential equations of the type $^c\mathcal{D}^qu(t)+f(t,u(t))=0$, $t{\in}(0,1),q{\in}(n-1,n],n{\geq}2$ $u^{\prime}(0)=0,u^{\prime\prime}(0)=0,{\ldots},u^{n-1}(0)=0,u(1)={\xi}u({\eta})$, where ${\xi},{\eta}{\in}(0,1)$, the nonlinear function f is assumed to be continuous and $^c\mathcal{D}^q$ is the fractional derivative in the sense of Caputo. Existence of solution is established via the upper and lower solutions method and approximation of solutions uses the generalized quasilinearization technique.

Study concerning the Scope of Merchandise under the U.S. Antidumping Law through Case (사례를 통한 미반덤핑법상 상품의 범위에 관한 연구)

  • Ha, Choong-Lyong;Han, Na-Hee
    • International Commerce and Information Review
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    • v.11 no.3
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    • pp.265-286
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    • 2009
  • Dumping describes the practice of international price discrimination whereby a producer or exporter sells merchandise in an export market at less than fair value. The U.S. antidumping statutory framework is embodied in the Tariff Act of 1930. The Act states that "dumping" refers to the sale or likely sale of goods at less than fair value. 19 U.S.C. $\S$ 1677(34). The Commerce Department and the Commission are jointly responsible for administering the antidumping law. Commerce determines whether foreign merchandise is being sold in the United States at less than fair value, and the Commission determines whether a domestic industry producing a product like the imported merchandise has been materially injured or threatened with material injury by reason of imports of that product. Recently, in U.S. v. Eurodif, the Supreme Court held the question whether the Commerce can reasonably determin that foreign merchandise has been sold within the meaning of the antidumping law in U.S.. Should 19 U.S.C. Section 1673, which calls for "antidumping" duties on foreign goods, but not services, that sell at less than fair value in the U.S., apply to imported low enriched uranium? Yes. In a unanimous opinion written by Justice David H. Souter, the Supreme Court held that the Commerce Department's view of imported low enriched uranium, as the sale of goods rather than services, was permissible. It reasoned that, since 19 U.S.C. Section 1673 did not specify whether it applied to the production of low enriched uranium, it was left to the reasonable interpretation of the Commerce Department to determine. Accordingly, the Court found the Commerce Department interpreted the statute reasonably.

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Energy Performance Evaluation Study on the Thermal Bridge Blocking External Insulation System for Green Remodeling (그린 리모델링용 열교 차단 외단열 시스템의 에너지 성능 평가 연구)

  • Kim, Woong-Hoi;Kang, Eun-Ho;Yoon, Jong-Ho
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2021.11a
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    • pp.234-235
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    • 2021
  • We set the representative balcony types of the existed building to two types: unexpanded balcony and extended balcony, and analyze the effect of reducing the cooling and heating energy load when applying remodeling. The scope of the study was limited to balcony walls, including window-wall junctions, and was conducted by comparing cases with and without thermal break insulation structures for a clear conclusion. The study was conducted using the equivalent U-value in each case. The equivalent U-value was calculated by deriving through 2 dimensional steady-state heat transfer analysis of each case balcony envelope. And building energy was calculated using the derived equivalent U-value. According to the calculation results, for unexpanded balconies, the equivalent U-value was reduced by about 80%, and the heating and cooling load was reduced by about 20%. In the case of extended balconies, the equivalent U-value was reduced by about 57% and the resulting heating and cooling load was reduced by about 12%.

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BOUNDARY VALUE PROBLEMS FOR NONLINEAR PERTURBATIONS OF VECTOR P-LAPLACIAN-LIKE OPERATORS

  • Manasevich, Raul;Mawhin, Jean
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.665-685
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    • 2000
  • The aim of this paper is to obtain nonlinear operators in suitable spaces whise fixed point coincide with the solutions of the nonlinear boundary value problems ($\Phi$($\upsilon$'))'=f(t, u, u'), l(u, u') = 0, where l(u, u')=0 denotes the Dirichlet, Neumann or periodic boundary conditions on [0, T], $\Phi$: N N is a suitable monotone monotone homemorphism and f:[0, T] N N is a Caratheodory function. The special case where $\Phi$(u) is the vector p-Laplacian $\mid$u$\mid$p-2u with p>1, is considered, and the applications deal with asymptotically positive homeogeneous nonlinearities and the Dirichlet problem for generalized Lienard systems.

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ON A CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION BY CONDITIONAL EXPECTATIONS OF RECORD VALUES

  • Lee, Min-Young
    • Communications of the Korean Mathematical Society
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    • v.16 no.2
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    • pp.287-290
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    • 2001
  • Let X$_1$, X$_2$, … be a sequence of independent and identically distributed random variables with continuous cumulative distribution function F(x). X(sub)j is an upper record value of this sequence if X(sub)j > max {X$_1$, X$_2$, …, X(sub)j-1}. We define u(n) = min {j│j > u(n-1), X(sub)j > X(sub)u(n-1), n $\geq$ 2} with u(1) = 1. Then F(x) = 1 - e(sup)-x/c, x > 0 if and only if E[X(sub)n(n+1) - X(sub)u(n)│X(sub)u(m) = y] = c or E[X(sub)u(n+2) - X(sub)u(n)│X(sub)u(m) = y] = 2c, n $\geq$ m+1.

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POSITIVE SOLUTIONS FOR NONLINEAR m-POINT BVP WITH SIGN CHANGING NONLINEARITY ON TIME SCALES

  • HAN, WEI;REN, DENGYUN
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.551-563
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    • 2017
  • In this paper, by using fixed point theorems in cones, the existence of positive solutions is considered for nonlinear m-point boundary value problem for the following second-order dynamic equations on time scales $$u^{{\Delta}{\nabla}}(t)+a(t)f(t,u(t))=0,\;t{\in}(0,T),\;{\beta}u(0)-{\gamma}u^{\Delta}(0)=0,\;u(T)={\sum_{i=1}^{m-2}}\;a_iu({\xi}_i),\;m{\geq}3$$, where $a(t){\in}C_{ld}((0,T),\;[0,+{\infty}))$, $f{\in}C([0,T]{\times}[0,+{\infty}),\;(-{\infty},+{\infty}))$, the nonlinear term f is allowed to change sign. We obtain several existence theorems of positive solutions for the above boundary value problems. In particular, our criteria generalize and improve some known results [15] and the obtained conditions are different from related literature [14]. As an application, an example to demonstrate our results is given.

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.

Study of u-PBL Support System Core Value and Design Strategy based on Field Experience Learning (현장체험에 터한 u-PBL 교수지원시스템의 핵심가치 및 설계전략 연구)

  • Kim, Du-Guy;Park, Su-Hong
    • Journal of Fisheries and Marine Sciences Education
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    • v.24 no.2
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    • pp.180-202
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    • 2012
  • The purpose of this study was to extract an u-PBL support system core value and design strategy based upon field experience learning. To accomplish this the study, first of all, analyzed the core values, design strategy which was selected after needs analysis and literature review of theories and cases regarding the PBL, e-PBL, blended-PBL, Field experience learning based on ubiquitous environment, and learning model based on ubiquitous technology. This study identified the three core values as; systemic support for instructional activity, just in time support for instructional activity and support for interaction facilitation. As further research areas, it might be useful to develop u-PBL instructional support system based upon the model designed from this study. Also, research concerning the verification of the model based upon implementation of the program case might be necessary.

Methodology for Developing a Ubiquitous Business Model: Incorporating Co-Creation Experiences (유비쿼터스 컴퓨팅 환경에서의 비즈니스 모델 개발 방법론: 가치의 공동 창출 경험을 중심으로)

  • Kim, Kyung-Kyu;Park, Sung-Kook
    • The Journal of the Korea Contents Association
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    • v.9 no.2
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    • pp.326-338
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    • 2009
  • In this paper, we argue that characteristics of ubiquitous business are different from those of e-business or m-business. We have developed a u-business model development framework incorporating the concept of value co-creation experiences, which is a core of the ubiquitous business paradigm. The framework of u-business model development presented in this paper consists of eight steps such as defining of domain, discovery of opportunity nucleus, defining of potential co-creation experience environment, deriving candidates of u-business services, selecting u-business killer services, defining value propositions of u-business killer services, defining u-business killer service offerings, and drawing a resource map of u-business killer services. The proposed u-business model development framework offers useful guidelines for practitioners to develop successful u-business models under a ubiquitous business paradigm.