• Title/Summary/Keyword: Normal Condition

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SOME RESULTS ON FRACTIONAL n-FACTOR-CRITICAL GRAPHS

  • Yu, Jiguo;Bian, Qiuju;Liu, Guizhen;Wang, Na
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.283-291
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    • 2007
  • A simple graph G is said to be fractional n-factor-critical if after deleting any n vertices the remaining subgraph still has a fractional perfect matching. For fractional n-factor-criticality, in this paper, one necessary and sufficient condition, and three sufficient conditions related to maximum matching, complete closure are given.

QUANTUM DYNAMICAL SEMIGROUP AND ITS ASYMPTOTIC BEHAVIORS

  • Choi, Veni
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.189-198
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    • 2004
  • In this study we consider quantum dynamical semi-group with a normal faithful invariant state. A quantum dynamical semigroup $\alpha\;=\;\{{\alpha}_t\}_{t{\geq}0}$ is a class of linear normal identity-preserving mappings on a von Neumann algebra M with semigroup property and some positivity condition. We investigate the asymptotic behaviors of the semigroup such as ergodicity or mixing properties in terms of their eigenvalues under the assumption that the semigroup satisfies positivity. This extends the result of [13] which is obtained under the assumption that the semi group satisfy 2-positivity.

Estimation of Normal Variance Considered Prior Information

  • Lee, Sang-do;Lee, Dong-choon;Park, Ki-joo
    • Journal of Korean Society for Quality Management
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    • v.17 no.2
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    • pp.55-63
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    • 1989
  • In this paper we present the shrunken testing estimator for the variance of normal population and we find the condition that can be used in seeking the situations in which the proposed estimator is superior to the minimum variance unbiased estimator.

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BLOW-UP RATE FOR THE SEMI-LINEAR WAVE EQUATION IN BOUNDED DOMAIN

  • Liang, Chuangchuang;Wang, Pengchao
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.173-182
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    • 2015
  • In this paper, the blow-up rate of $L^2$-norm for the semi-linear wave equation with a power nonlinearity is obtained in the bounded domain for any p > 1. We also get the blow-up rate of the derivative under the condition 1 < p < $1+\frac{4}{N-1}$ for $N{\geq}2$ or 1 < p < 5 for N = 1.

MEROMORPHIC FUNCTIONS PARTIALLY SHARED VALUES WITH THEIR SHIFTS

  • Lin, Weichuan;Lin, Xiuqing;Wu, Aidi
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.469-478
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    • 2018
  • We prove some uniqueness theorems of nonconstant meromorphic functions partially sharing values with their shifts. As an application, we obtain a sufficient condition on periodic meromorphic functions. Moreover, some examples are given to illustrate that the conditions are sharp and necessary.

A Structural Analysis of the KSTAR Cryostat (KSTAR 저온진공용기 구조해석)

  • 허남일;김형섭;조승연;임기학;KSTAR설계팀
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 1999.02a
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    • pp.185-188
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    • 1999
  • KSTAR cryostat is a large vacuum vessel that provides the necessary thermal barrier between the ambient temperature test cell and the liquid helium cooled magnets. In this work, the structural analyses for the cryostat under the normal operation condition were performed. As a result, it turns out that the vessel would be safe when it is exposed to normal operation loads, such as system weight, vacuum pressure, and plasma vertical disruption load. And, the preliminary result on the modal analysis is presented.

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ON GROUND STATE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC EQUATIONS

  • Yin, Honghui;Yang, Zuodong
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.1011-1016
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    • 2011
  • In this paper, our main purpose is to establish the existence of positive bounded entire solutions of second order quasilinear elliptic equation on $R^N$. we obtained the results under different suitable conditions on the locally H$\"{o}$lder continuous nonlinearity f(x, u), we needn't any mono-tonicity condition about the nonlinearity.

THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS

  • Jin, Tiankun;Yang, Zhipeng
    • Journal of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.489-506
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    • 2020
  • In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schrödinger-Poisson systems. We consider different superlinear growth assumptions on the non-linearity, starting from the well-know Ambrosetti-Rabinowitz type condition. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schrödinger-Poisson systems to the nonlocal fractional setting.