• Title/Summary/Keyword: retarded

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OSCILLATION CRITERIA FOR DIFFERENCE EQUATIONS WITH SEVERAL OSCILLATING COEFFICIENTS

  • Bohner, Martin;Chatzarakis, George E.;Stavroulakis, Ioannis P.
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.159-172
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    • 2015
  • This paper presents a new sufficient condition for the oscillation of all solutions of difference equations with several deviating arguments and oscillating coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.

OPTIMAL PROBLEM FOR RETARDED SEMILINEAR DIFFERENTIAL EQUATIONS

  • Park, Dong-Gun;Jeong, Jin-Mun;Kang, Weon-Kee
    • Journal of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.317-332
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    • 1999
  • In this paper we deal with the optimal control problem for the semilinear functional differential equations with unbounded delays. We will also establish the regularity for solutions of the given system. By using the penalty function method we derive the optimal conditions for optimality of an admissible state-control pairs.

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SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS

  • Jeong, Jin-Mun;Cheon, Su Jin
    • Journal of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.627-639
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    • 2013
  • The goal of this paper is to obtain the regularity and the existence of solutions of a retarded semilinear differential equation with nonlocal condition by applying Schauder's fixed point theorem. We construct the fundamental solution, establish the H$\ddot{o}$lder continuity results concerning the fundamental solution of its corresponding retarded linear equation, and prove the uniqueness of solutions of the given equation.

REPRESENTATION OF $L^1$-VALUED CONTROLLER ON BESOV SPACES

  • Jeong, Jin-Mun;Kim, Dong-Hwa
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.133-150
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    • 2003
  • This paper will show that the relation (1.1) $$L^1({\Omega}){\subset}C_0(\bar{\Omega}){\subset}H_{p,q}$$ if 1/p'-1/n(1-2/q')<0 where p'=p/(p-1) and q'=q/(q-1) where $H_{p.q}=(W^{1,p}_0,W^{-1,p})_{1/q,q}$. We also intend to investigate the control problems for the retarded systems with $L^1(\Omega)$-valued controller in $H_{p,q}$.

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APPROXIMATE CONTROLLABILITY AND REGULARITY FOR SEMILINEAR RETARDED CONTROL SYSTEMS

  • Jeong, Jin-Mun
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.213-230
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    • 2002
  • We deal with the approximate controllability for semilinear systems with time delay in a Hilbert space. First, we show the existence and uniqueness of solutions of the given systems with the mere general Lipschitz continuity of nonlinear operator f from $R\;\times\;V$ to H. Thereafter, it is shown that the equivalence between the reachable set of the semilinear system and that of its corresponding linear system. Finally, we make a practical application of the conditions to the system with only discrete delay.

A Study on the Influence of ZinC Chloride In Portland Cement Hydration Reaction (포틀랜드 시멘트 수화반응에 있어 Znic Chloride의 영향에 관한 연구)

  • 정현구;이경희;조재우;이재원
    • Journal of the Korean Ceramic Society
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    • v.37 no.7
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    • pp.681-685
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    • 2000
  • The influence of ZnCl2 in portland cement hydration was studied. The hydration reaction was progressed with ZnCl2 solution to observe the adiabatic hydration exothermic and hydration products. To compare with cement hydration, Ca(OH)2 solution reacted with ZnCl2 was carried out. The addition of ZnCl2 solution to the portland cement was retarded hydration quantitatively. Because ZnO which was produced in certain pH adsorbed with unhydrated cement made retarded the hydration reaction.

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Design of a Web-based Learning System for Enhancing Music Cognition Ability of Mentally Retarded Children Using MMCP Theory (정신지체장애인의 음악 인지 능력 향상을 위한 MMCP 이론을 활용한 웹기반 학습 시스템 설계)

  • Gwon, Mi-Gyung;Jun, Woo-Chun
    • 한국정보교육학회:학술대회논문집
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    • 2010.08a
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    • pp.143-149
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    • 2010
  • Although importance of music education for the mentally retarded children is realized, it is hard to improve study effects for those children with the existing music education methods due to cognitive disorders of the children. In the paper, we propose a system to improve music cognition ability of the mentally retarded children. The system is designed based on the existing MMCP theory. Our system has the following characteristics. First, the system can improve cognitive, physical, social and emotional development as well as development of music cognition ability. Second, the individualized music education is possible for the children. Third, more active and interactive education is possible.

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A Study on the Effect of Oral Health Education on the Mentally Retarded Children (정신지체장애인의 구강보건교육 효과에 관한 연구)

  • Kim, Young-Sook
    • Journal of Korean society of Dental Hygiene
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    • v.1 no.1
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    • pp.19-37
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    • 2001
  • The purpose of this study was to develop effective oral health education programs for mentally retarded children and promote their oral health, by offering oral health education for 45 mentally retarded children between age 6 to 20, tracking the change of their knowledge depending on the frequency of education, and examining the educational effect before and after oral health education. The children with mental retardation attended a special school for idiots in Gweonseon-gu, Suwon, Kyonggi Province, being able to take training(IQ 25-49). The education program was designed to be suitable for their cognitive power after consultation with a special school teacher. A teacher provided the same education seven times, once a week, and an interview was held with each of them to assess their correct answer rate. The findings of this study were as below: 1. The repeated oral health education served to have the children with mental retardation acquire better knowledge about harmful food for the teeth, what had to be done after eating cookies or candies between meals, the right time for toothbrushing, the concept of dental caries, and how to cope with dental caries(p<0.01). But after that education was offered four times, the frequency of that education made no difference. 2. The repeated oral health education increased, their knowledge on the role of the teeth and the right choice of toothbrush(p<0.01), yet there was no significant difference in their knowledge about oral health behavior, because they had already been familiar with that. 3. As a result of investigating the change of their oral health know-ledge before and after oral health education according to the type of handicap, the type of handicap made no significant difference to the change of their oral health knowledge. 4. The oral health education for the children with menial retardation had a significantly different effect on their knowledge about harmful food for the teeth, what had to be done after eating between meals, the right time for toothbrushing, the role of the teeth. the right choice and use of toothbrush, how to do toothbrushing, and fluorine(p<0.01).

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