• 제목/요약/키워드: degree theory

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Instantaneous Reactive Power Compensation Theory Increasing The Control Freedom One Degree Higher (제어 자유도를 한 차원 증가시킨 순시무효전력 보상이론)

  • Kim, Hyo-Sung
    • Proceedings of the KIEE Conference
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    • 1999.07f
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    • pp.2481-2483
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    • 1999
  • This paper proposed the p-q-r coordinate system where the instantaneous active power p, and the two instantaneous reactive powers $q_{q}$, $q_{r}$ were defined. The three power components are linearly independent, so the compensation for the two instantaneous reactive powers leads to control the two components of the current space vector. With the theory, the neutral current of a three-phase four-wire system can be eliminated by only compensating the instantaneous reactive power using no energy storage element.

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Multi-dimensional vibration/noise isolation by vibration power analysis (다차원 진동/소음 절연을 위한 진동 파워 이용법)

  • Kim, Gwang-Jun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.33-48
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    • 2000
  • Limitations of the simple single degree of freedom vibration isolation theory in real applications are discussed and a theory of multi-dimensional vibration/noise isolation by power approach is introduced. Illustrations of the application to compressor of an air-conditioner are presented together with problems caused by approximations. Then possible sources of distortions in the vibration power estimation are looked into and some relevant research topics are suggested.

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PERIODIC SOLUTIONS FOR DUFFING TYPE p-LAPLACIAN EQUATION WITH MULTIPLE DEVIATING ARGUMENTS

  • Jiang, Ani
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.27-34
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    • 2013
  • In this paper, we consider the Duffing type p-Laplacian equation with multiple deviating arguments of the form $$({\varphi}_p(x^{\prime}(t)))^{\prime}+Cx^{\prime}(t)+go(t,x(t))+\sum_{k=1}^ngk(t,x(t-{\tau}_k(t)))=e(t)$$. By using the coincidence degree theory, we establish new results on the existence and uniqueness of periodic solutions for the above equation. Moreover, an example is given to illustrate the effectiveness of our results.

TOPOLOGICAL APPROACH FOR THE MULTIPLE SOLUTIONS OF THE NONLINEAR PARABOLIC PROBLEM WITH VARIABLE COEFFICIENT JUMPING NONLINEARITY

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.19 no.1
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    • pp.101-109
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    • 2011
  • We get a theorem which shows that there exist at least two or three nontrivial weak solutions for the nonlinear parabolic boundary value problem with the variable coefficient jumping nonlinearity. We prove this theorem by restricting ourselves to the real Hilbert space. We obtain this result by approaching the topological method. We use the Leray-Schauder degree theory on the real Hilbert space.

ELLIPTIC PROBLEM WITH A VARIABLE COEFFICIENT AND A JUMPING SEMILINEAR TERM

  • Choi, Q-Heung;Jung, Tacksun
    • Korean Journal of Mathematics
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    • v.20 no.1
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    • pp.125-135
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    • 2012
  • We obtain the multiple solutions for the fourth order elliptic problem with a variable coefficient and a jumping semilinear term. We have a result that there exist at least two solutions if the variable coefficient of the semilinear term crosses some number of the eigenvalues of the biharmonic eigenvalue problem. We obtain this multiplicity result by applying the Leray-Schauder degree theory.

EXISTENCE OF THE THIRD POSITIVE RADIAL SOLUTION OF A SEMILINEAR ELLIPTIC PROBLEM ON AN UNBOUNDED DOMAIN

  • Ko, Bong-Soo;Lee, Yong-Hoon
    • Journal of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.439-460
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    • 2002
  • We prove the multiplicity of ordered positive radial solutions for a semilinear elliptic problem defined on an exterior domain. The key argument is to prove the existence of the third solution in presence of two known solutions. For this, we obtain some partial results related to three solutions theorem for certain singular boundary value problems. Proof are mainly based on the upper and lower solutions method and degree theory.

ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS

  • Bhoosnurmath, Subhas S.;Kulkarni, Milind Narayanrao;Yu, Kit-Wing
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.427-435
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    • 2008
  • In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree $\bar{d}$(P) and lower degree $\underline{d}$(P).

A study on the Influence of VR360° Degree Panoramic Video on Theory of Modern Films (VR 360° 기술이 현대영화 이론에 끼친 영향에 관한 연구)

  • HUA, LU HUI;Kim, Hae Yoon
    • Proceedings of the Korea Contents Association Conference
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    • 2016.05a
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    • pp.353-354
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    • 2016
  • 영화관 발전 이유는(보통 영화,3D MIX,4D)관중 시청각 효과가 위해서 발전한다. 이제 까지 최고한 시청각 효과 받을 수 있는 기술을 $VR360^{\circ}$ Degree panoramic video촬영 기술 밖에 없다. 하지만 이 기술을 전통 영화 촬영 기술 보다 완전히 다르다. 이 기술 영화 방면 운용하면 원래 영화적 이론 크게 충격 받다.

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