• Title/Summary/Keyword: U&I

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ON THE CAUCHY PROBLEM FOR SOME ABSTRACT NONLINEAR DIFFERENTIAL EQUATIONS

  • Hamza A.S. Abujabal;Mahmoud M. El-Boral
    • Journal of applied mathematics & informatics
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    • v.3 no.2
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    • pp.279-290
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    • 1996
  • In the present paper we study the Cauchy problem in a Banach space E for an abstract nonlinear differential equation of form $$\frac{d^2u}{dt^2}=-A{\frac{du}{dt}}+B(t)u+f(t, W)$$ where W=($A_1$(t)u, A_2(t)u)..., A_{\nu}(t)u), A_{i}(t),\;i=1,2,...{\nu}$,(B(t), t{\in}I$=[0, b]) are families of closed operators defined on dense sets in E into E, f is a given abstract nonlinear function on $I{\times}E^{\nu}$ into E and -A is a closed linar operator defined on dense set in e into E which generates a semi-group. Further the existence and uniqueness of the solution of the considered Cauchy problem is studied for a wide class of the families ($A_{i}$(t), i =1.2...${\nu}$), (B(t), $t{\in}I$) An application and some properties are also given for the theory of partial diferential equations.

THE EXISTENCE OF TWO POSITIVE SOLUTIONS FOR $m$-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY

  • Liu, Jian
    • Journal of applied mathematics & informatics
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    • v.30 no.3_4
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    • pp.517-529
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    • 2012
  • In this paper, the existence theorem of two positive solutions is established for nonlinear m-point boundary value problem by using an inequality for the following third-order differential equations $$({\phi}(u^{\prime\prime}))^{\prime}+a(t)f(t,u(t))=0,\;t{\in}(0,1)$$, $${\phi}(u^{\prime\prime}(0))=\sum^{m-2}_{i=1}a_i{\phi}(u^{\prime\prime}({\xi}_i)),\;u^{\prime}(1)=0,\;u(0)=\sum^{m-2}_{i=1}b_iu({\xi}_i)$$, where ${\phi}:R{\rightarrow}R$ is an increasing homeomorphism and homomorphism and $\phi(0)=0$. The nonlinear term f may change sign, as an application, an example to demonstrate our results is given.

MULTIPLICITY OF POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL P-LAPLACIAN

  • Zhang, Youfeng;Zhang, Zhiyu;Zhang, Fengqin
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1211-1220
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    • 2009
  • In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

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Joseon Intellectuals' Awareness in 'Gǔ(古) and Jīn(今)' and Historical Changes - Focusing on distinctions between different schools (조선 지성인들의 '고금(古今)' 인식과 역사변동 - 학파 간의 차이를 중심으로 -)

  • Choi, Young-sung
    • The Journal of Korean Philosophical History
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    • no.54
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    • pp.43-75
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    • 2017
  • This paper is to examine how Joseon intellectuals understood $g{\check{u}}$(古) and $j{\bar{i}}n$(今) and how its history consequently changed. It is to take a macroscopic view focusing on differences of different schools. Understanding of '$g{\check{u}}$' and '$j{\bar{i}}n$' directly and indirectly affected academia, art and even politics throughout Joseon dynasty. As different scholars and schools distinctively understood $g{\check{u}}$ and $j{\bar{i}}n$, issues of tradition and creation; conservatism and progressivism and; ideal and reality were deeply discussed. Those discussions greatly and historically contributed to making changes in politics and society as well. A cultural tradition of emphasizing '$g{\check{u}}$' took a deep root in overall Joseon society. Meanwhile, understanding of '$j{\bar{i}}n$(今)' or '$x{\bar{i}}n$(新)' was required with changes of times. as When people thought the reality is confusing or corrupt, they adopted restoration(復古) which means to go back to basis as the slogan. Awareness in $g{\check{u}}$ and $j{\bar{i}}n$ served as a drive to change the society. However, they never lifted their voices for '$j{\bar{i}}n$' or '$x{\bar{i}}n$,' abandoning '$g{\check{u}}$'. Criticism on '$g{\check{u}}$' was merely for criticizing being bound by '$g{\check{u}}$,' not targeting '$g{\check{u}}$' itself. '$J{\bar{i}}n$' actually was a dependent variable of '$g{\check{u}}$.' It is a dichotomous view to consider '$g{\check{u}}$' as conservatism and '$j{\bar{i}}n$' as progressivism.

Girder Section of Continuous Bridges Spliced by Partial Post-Tensioning (부분 포스트텐션닝 방법에 의해 연속화된 교량의 주형단면)

  • 이환우;곽효경;송영용
    • Journal of the Korea Concrete Institute
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    • v.12 no.6
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    • pp.43-50
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    • 2000
  • In this paper, a new splicing method was applied to design the girder section of bridges with the span length of 25m, 30m, 35m, 40m and 45m. A U-type precast prestressed section was also determined for each bridge. Additionally, the sectional area, beam depth and Guyon's efficiency factor of the spliced U-type sections in each span were analyzed in comparison with the present I-type PSC bridges. As a result, in spite of an increase of 31%∼50% in the sectional areas compared with the I-type precast girders, the spliced U-type the beam depth of the spliced U-type girder was designed as 2,050 mm compared with the I-type precast girder of 2,600mm in a 40m span bridge. The sectional efficiency factors of the spliced U-type sections were analyzed as 0.76∼0.99. It shows that the spliced U-type sections ar of a superior structural efficiency in contrast to the average sectional efficiency factor of 0.66 value in the I-type girders.

A Study on the Effect of 'University administration's efforts' and 'Trust of I-U' on 'Industry-University Barrier' (대학행정 노력 및 산학간 신뢰가 산학협력장애에 미치는 영향에 관한 연구)

  • Hong, Eun-Young;Choi, Jong-In
    • Asia-Pacific Journal of Business Venturing and Entrepreneurship
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    • v.13 no.1
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    • pp.105-117
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    • 2018
  • In this study, we identify the obstacles that occur through the relationship between I-U cooperation and look for factors that can overcome them in the 'university administration's efforts' and 'Trust between I-U'. In the study of existing I-U cooperation, the relationship between industry and university has accumulated experiences and various channels of bilateral cooperation by sustaining interactions and absorbing capacity of knowledge by path dependence. However, as cooperation increases, 'I-U cooperation barrier' are inevitable, which is explained by two perspectives: 'Difference in mutual recognition' and 'Institutional barriers'. In order to induce the achievement of effective I-U cooperation, it is necessary to overcome these obstacles stemming from mutual relations, and it will be possible to maintain the relationship of continuous I-U cooperation. The researchers conducted research on companies participating in the I-U cooperation technology development project of the 'Ministry of Small and Medium Venture Business', which is a representative I-U cooperation program in Korea. This project will be promoted in the 'Small & Medium Business I-U cooperation Center', an administration-dedicated organization of the university. The researchers measure 'University administration's efforts' and 'Trust between I-U'to overcome'I-U cooperation barrier' In order to clarify the data of the research sample, a questionnaire survey of organizational units was conducted for all companies participating in the 'I-U cooperation technology development projects' of the SMEs and Startups between 2011 and 2015, and the responses of 356 organizations were drawn. The results showed that the higher the level of 'University administration's efforts' and Trust between I-U', the lower 'Difference in mutual recognition' and 'Institutional barriers'. Particularly, it showed higher explanatory power to overcome 'Institutional barriers' among obstacles. Therefore, it should be accompanied by the interest, implementation and institutional support of I-U-R subjects to raise the level of these two factors that can overcome 'I-U cooperation barrier'.

Design of u-Health service platform (모바일 u-health 서비스 플랫폼 설계)

  • Min, Byoung-won;Oh, Yong-sun;Han, Dong-soo;Koo, Jong-young
    • Proceedings of the Korea Contents Association Conference
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    • 2009.05a
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    • pp.797-801
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    • 2009
  • In the proposed u-health service platform mobile u-health served an a series of process of bio data collection and storage and bio data analyses and results notice, and I interpreted it to a process. I became a design so as the service platform which supported health management system construction easily loaded service applied mobile u-health, and to be able to operate it in mobile environments, and took utility of a service platform and usability into consideration, and I got the crux of u-health use service.

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Aerodynamic Characteristics of Korean Bilabial Stop Consonant as a Function of Phonemic Position in a Syllable (음절내 음소 출현 위치에 따른 한국어 양순 파열음의 공기역학적인 특징)

  • Park, Sang-Hee;Jeong, Haeng-Im;Jeong, Ok-Ran;Seok, Dong-Il
    • Speech Sciences
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    • v.9 no.4
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    • pp.59-75
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    • 2002
  • Aerodynamic analysis study was performed on 14 normal subjects (2 males, 12 females) with nonsense syllables composed of Korean bilabial stops (/p, p', $p^{h}$) and their preceding and/or following vowels, /i, a, u/. That is, [pi, p'i, $p^{h}i$, pa, p'a, $p^{h}a$, pu, p'u, $p^{h}u$, ipi, apa, upu, $ip^{h}i$, $ap^{h}a$, $up^{h}u$, ip'i, ap'a, up'u]. All measures were taken and analysed using Aerophone II voice function analyzer and included peak air pressure, mean air pressure, maximum flow rate, volume, mean SPL and phonatory SPL. A t-test and one-way ANOVA were employed for analysis. A post-hoc analysis was performed with Scheffe and Bonferroni. The results were as follows: First, MSPL. and MAP of /p, p', $p^{h}$/ were significantly different in different positions (initial and medial position). In addition, different vowel environment also produced significantly different aerodynamic characteristics those consonants. Especially the lax consonant /p/ was significantly different /i, a, u/ vowel environments. The tense consonant /p'/ was significantly different only /i/ vowel environment.

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Distribution von Pronomina in A.cI.-Konstruktionen (A.c.I.-구문에서의 대명사 분포에 관한 연구)

  • Kim Youn-Chan
    • Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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    • v.7
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    • pp.105-125
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    • 2003
  • Personal- und Reflexivpronomen stehen in einer komplementaren Beziehung zueinander. Die vorliegende Arbeit zeigt, welches von beiden Pronomen verschiedenen AcI-Konstruktionen jeweils richtig ist Vor allem stelle ich hier die These auf, dass Grammatik in erster Linie ein Regelwerk ist und dass dernzufolge $S\"{a}tze$ mit gleicher Struktur immer einheitlich und konsistent mit denselben Regeln $erkl\"{a}rt$ werden sollten: (1) a. Der Gefangen $l\"{a}sst$ den Polizisten auf ${\ast}sich_i/ihn_i$ achten. b. $Hans_i{\;}l\"{a}sst$ Maria zu $sich_i/{\ast}ihm_i$ kommen. (2) a. $Peter_i$ sieht Hans von ${\ast}sich_i/ihm_i$ betrogen. b. $Hans_i{\;}f\"{u}hlt$ die Freundin von $sich_i/{\ast}ihm_i$ weggezogen. Bei diesen Beispielen liegt der Verteilungsunterschied der Pronomina nicht an Grammatikregeln sondern am individuellen Sprachgebrauch. Ferner wird hier darauf hingewiesen, dass die AcI-Verben mit Ausnahme des Verbs lassen a1s 3-wertige Verben so wie die $S\"{a}tze$ in Beispiel (3) zu behandein sind D.h., die Struktur $f\"{u}r$ AcI-Konstruktionen sieht so aus wie (4b), nicht wie (4a). Betrachten wir dies noch einmal an einem Beispiel: (3) a. Ich sehe mich $m\"{u}de$ b. Ich $f\"{u}hle$ mich viel besser.

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EXTENSIONS OF STRONGLY π-REGULAR RINGS

  • Chen, Huanyin;Kose, Handan;Kurtulmaz, Yosum
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.555-565
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    • 2014
  • An ideal I of a ring R is strongly ${\pi}$-regular if for any $x{\in}I$ there exist $n{\in}\mathbb{N}$ and $y{\in}I$ such that $x^n=x^{n+1}y$. We prove that every strongly ${\pi}$-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any $x{\in}I$ there exist two distinct m, $n{\in}\mathbb{N}$ such that $x^m=x^n$. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly ${\pi}$-regular and for any $u{\in}U(I)$, $u^{-1}{\in}\mathbb{Z}[u]$.