• Title/Summary/Keyword: Neutral term

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OSCILLATION CRITERIA OF SECOND ORDER NEUTRAL DIFFERENCE EQUATIONS

  • Zhang, Zhenguo;Lv, Xiaojing;Yu, Tian
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.125-138
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    • 2003
  • Some Riccati type difference inequalities are established for the second-order nonlinear difference equations with negative neutral term $\Delta$(a(n)$\Delta$(x(n) - px(n-$\tau$))) + f(n, x($\sigma$(n))) = 0 using these inequalities we obtain some oscillation criteria for the above equation.

Approximate Controllability for Semilinear Neutral Differential Systems in Hilbert Spaces

  • Jeong, Jin-Mun;Park, Ah-Ran;Son, Sang-Jin
    • Kyungpook Mathematical Journal
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    • v.61 no.3
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    • pp.559-581
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    • 2021
  • In this paper, we establish the existence of solutions and the approximate controllability for the semilinear neutral differential control system under natural assumptions such as the local Lipschitz continuity of nonlinear term. First, we deal with the regularity of solutions of the neutral control system using fractional powers of operators. We also consider the approximate controllability for the semilinear neutral control equation, with a control part in place of a forcing term, using conditions for the range of the controller without the inequality condition as in previous results.

EXISTENCE AND REGULARITY FOR SEMILINEAR NEUTRAL DIFFERENTIAL EQUATIONS IN HILBERT SPACES

  • Jeong, Jin-Mun
    • East Asian mathematical journal
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    • v.30 no.5
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    • pp.631-637
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    • 2014
  • In this paper, we construct some results on the existence and regularity for solutions of neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the existence and regularity for solutions of the neutral system by using fractional power of operators and the local Lipschtiz continuity of nonlinear term without using many of the strong restrictions considering in the previous literature.

Prediction of Long-Term Deflections of Reinforced Concrete Beams (철근콘크리트 보의 장기처짐 예측)

  • 김진근;이상순;양주경
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.462-467
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    • 1998
  • A rational method for prediction of long-term deflections of reinforced concrete beams under sustained loads was proposed. Strain and stress distributions of uncracked and fully cracked sections after creep and shrinkage were determined from the requirements of strain compatibility and force equilibrium of a section, and then long-term deflections were calculated from the section analysis results. In fully cracked section analysis, noncoincidence of the neutral axis of strain and the neutral axis of stress after creep and shrinkage was taken into account. The accuracy of the proposed method was verified by comparison with several experimental measurements of beam deflections. The proposed approximate procedure gave the better predictions than the existing approximate methods. At the same time, the proposed method also retained simplicity of the calculation, since maximum long-term deflection could be obtained without tedious integration of the curvatures.

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ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF FORCED NONLINEAR NEUTRAL DIFFERENCE EQUATIONS

  • Liu, Yuji;Ge, Weigao
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.37-51
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    • 2004
  • In this paper, we consider the asymptotic behavior of solutions of the forced nonlinear neutral difference equation $\Delta[x(n)-\sumpi(n)x(n-k_i)]+\sumqj(n)f(x(n-\iota_j))=r(n)$ with sign changing coefficients. Some sufficient conditions for every solution of (*) to tend to zero are established. The results extend and improve some known theorems in literature.

Prediction of Deflection of Reinforced Concrete Beams due to Creep (크리프에 의한 철근콘크리트 보의 처짐 예측)

  • 이상순;김용빈;김진근;이수곤
    • Magazine of the Korea Concrete Institute
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    • v.10 no.6
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    • pp.253-260
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    • 1998
  • An approximate method for the calculation of creep deflections of reinforced concrete beams under sustained service loads is proposed. The position of neutral axis and strain and stress distribution of fully cracked section after creep is determined from the requirements of strain compatibility and equilibruim of a section and then the long-term flexural rigidity of fully cracked section is determined based on the new neutral axis. The long-term flexural rigidity of uncracked section at the level of the reinforcenment. The approach of calculating long-term effective flexural rigidity and defections is similar to the current American Concrete Institue procedure for calculating effecitve moment of inertia and short-term deflections. The accuracy of the analysis is verified by comparison with several experimental mesurements of beam deflectons. The result is good between the theotetical values and mesured valus.

Contents Analysis of Media on Long-term Care Insurance (노인장기요양보험 관련 미디어 내용 분석)

  • Chin, Young-Ran;Lee, Hyo-Young
    • The Korean Journal of Health Service Management
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    • v.10 no.2
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    • pp.155-166
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    • 2016
  • Objectives : This study confirmed the limitation of long-term care insurance by analyzing media contents. Methods : Articles and reviews were searched with the article searching system (KINDS) from July 2008 to December, 2015. Results : Among the 155 articles examined, 61.1% highlighted the faults of suppliers, and 25.2% indicated the responsibility of the insurer. As for their purpose, 56.8% reported on accidents, and 32.3% provided information. Furthermore, 74.2% reported on negative contents and only 25.8% on neutral contents. The negative contents consisted of requesting false insurance benefits, amending the range and price indicating the very low salaries of the care givers, limitations on the care grade assessment, and problems related with assistive devices. The majority of neutral articles is for providing information. Conclusions : There were many problems starting from the early stage of the insurance. We must pay attention to these problems. Moreover, we should try to handle and prevent these problems with supportive responses from authorities.

The Effects of Self-Referencing and Counteractive Construal on Consumption Goal Reversion

  • Choi, Nak-Hwan;Liu, Cong;Mu, Peipei
    • Journal of Distribution Science
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    • v.12 no.3
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    • pp.7-15
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    • 2014
  • Purpose - This study aims to explore the factors that can trigger the escalation of an initially pursued long-term utilitarian goal that is set aside to pursue a competing hedonic goal. Research Design, Data, and Methodology - The experimental study covered three groups : Group 1 (ego-depletion, self-referencing), Group 2 (ego-depletion, neutral), and Group 3 (no ego-depletion, neutral). The participants of the study comprised 150 undergraduates who were divided into three groups of 50 students for each. One-way ANOVA and regression analyses were used to verify the hypotheses. Results - Ego-depleted consumers are less likely to resist immediate temptation than those who are not in an ego-depletion state. Self-referencing has a positive impact on long-term goal reversion when consumers in an ego-depletion state experience immediate temptations. Counteractive construal plays a mediating role between self-referencing and long-term goal reversion. Conclusions - We found that consumers tend to yield to momentary temptations when they are in an ego-depletion state. Self-referencing and counteractive construal can eliminate the ego-depletion effect and then facilitates escalation of the set-aside long-term goal.

OSCILLATION OF SUB LINEAR DIFFERENCE EQUATIONS WITH POSITIVE NEUTRAL TERM

  • LI QIAOLUAN;WANG CHUNGIAO;LI FANG;LIANG HAIYAN;ZHANG ZHENGUO
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.305-314
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    • 2006
  • In this paper, we consider the oscillation of first order sublinear difference equation with positive neutral term $\Delta(\chi(n)+p(n)\chi(\tau(n)))+f(n,\chi(g1(n)),\cdots,\chi(gm(n)))=0$. We obtain necessary and sufficient conditions for the solutions of this equation to be oscillatory.

Long-Term Evolution of Decaying MHD Turbulence in the Multiphase ISM

  • Kim, Chang-Goo;Basu, Shantanu
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.47.1-47.1
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    • 2013
  • Supersonic turbulence is believed to decay rapidly within a flow crossing time irrespective of the degree of magnetization. However, this consensus of decaying magnetohydrodynamic (MHD) turbulence relies on local isothermal simulations, which are unable to investigate the role of global magnetic fields and structures. Utilizing three-dimensional MHD simulations including interstellar cooling and heating, we investigate decaying MHD turbulence within cold neutral medium sheets embedded in warm neutral medium. Early evolution is consistent with previous studies characterized rapid decay of turbulence with the decaying time shorter than a flow crossing time and power-law temporal decay of turbulent kinetic energy with slope of -1. If initial magnetic fields are strong and perpendicular to the sheet, however long term evolutions of kinetic energy shows that a significant amount of turbulent energy still remains even after ten flow crossing times, and decaying rate is reduced as field strengths increase. We analyse power spectra of remaining turbulence to show that incompressible, in-plane motions dominate.

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