• Title/Summary/Keyword: Pi-b

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NEGATIVE SOLUTION FOR THE SYSTEM OF THE NONLINEAR WAVE EQUATIONS WITH CRITICAL GROWTH

  • Jung, Tacksun;Choi, Q.-Heung
    • Korean Journal of Mathematics
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    • v.16 no.1
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    • pp.41-49
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    • 2008
  • We show the existence of a negative solution for the system of the following nonlinear wave equations with critical growth, under Dirichlet boundary condition and periodic condition $$u_{tt}-u_{xx}=au+b{\upsilon}+\frac{2{\alpha}}{{\alpha}+{\beta}}u_+^{\alpha-1}{\upsilon}_+^{\beta}+s{\phi}_{00}+f,\\{\upsilon}_{tt}-{\upsilon}_{xx}=cu+d{\upsilon}+\frac{2{\alpha}}{{\alpha}+{\beta}}u_+^{\alpha}{\upsilon}_+^{{\beta}-1}+t{\phi}_{00}+g,$$ where ${\alpha},{\beta}>1$ are real constants, $u_+={\max}\{u,0\},\;s,\;t{\in}R,\;{\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_{00}$ of the wave operator and f, g are ${\pi}$-periodic, even in x and t and bounded functions.

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AN ELABORATION OF ANNIHILATORS OF POLYNOMIALS

  • Cheon, Jeoung Soo;Kim, Hong Kee;Kim, Nam Kyun;Lee, Chang Ik;Lee, Yang;Sung, Hyo Jin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.521-541
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    • 2017
  • In this note we elaborate first on well-known theorems for annihilators of polynomials over IFP rings by investigating the concrete shapes of nonzero constant annihilators. We consider next a generalization of IFP which preserves Abelian property, in relation with annihilators of polynomials, observing the basic structure of rings satisfying such condition.

ON S-EXCHANGE RINGS

  • Liu, Dajun;Wei, Jiaqun
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.945-956
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    • 2020
  • We introduce the concept of S-exchange rings to unify various subclass of exchange rings, where S is a subset of the ring. Many properties on S-exchange rings are obtained. For instance, we show that a ring R is clean if and only if R is left U(R)-exchange, a ring R is nil clean if and only if R is left (N(R) - 1)-exchange, and that a ring R is J-clean if and only if R is left (J(R) - 1)-exchange. As a conclusion, we obtain a sufficient condition such that clean (nil clean property, respectively) can pass to corners and reprove that J-clean passes to corners by a different way.

EXPRESSIONS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF NONLINEAR COMPLEX DIFFERENTIAL EQUATIONS

  • Chen, Jun-Fan;Lian, Gui
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.1061-1073
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    • 2020
  • In this paper, the expressions of meromorphic solutions of the following nonlinear complex differential equation of the form $$f^n+Qd(z,f)=\sum\limits_{i=1}^{3}pi(z)e^{{\alpha}_i(z)}$$ are studied by using Nevanlinna theory, where n ≥ 5 is an integer, Qd(z, f) is a differential polynomial in f of degree d ≤ n - 4 with rational functions as its coefficients, p1(z), p2(z), p3(z) are non-vanishing rational functions, and α1(z), α2(z), α3(z) are nonconstant polynomials such that α'1(z), α'2(z), α'3(z) are distinct each other. Moreover, examples are given to illustrate the accuracy of the condition.

A NOTE ON INVARIANT PSEUDOHOLOMORPHIC CURVES

  • Cho, Yong-Seung;Joe, Do-Sang
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.347-355
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    • 2001
  • Let ($X, \omega$) be a closed symplectic 4-manifold. Let a finite cyclic group G act semifreely, holomorphically on X as isometries with fixed point set $\Sigma$(may be empty) which is a 2-dimension submanifold. Then there is a smooth structure on the quotient X'=X/G such that the projection $\pi$:X$\rightarrow$X' is a Lipschitz map. Let L$\rightarrow$X be the Spin$^c$ -structure on X pulled back from a Spin$^c$-structure L'$\rightarrow$X' and b_2^$+(X')>1. If the Seiberg-Witten invariant SW(L')$\neq$0 of L' is non-zero and $L=E\bigotimesK^-1\bigotimesE$ then there is a G-invariant pseudo-holomorphic curve u:$C\rightarrowX$,/TEX> such that the image u(C) represents the fundamental class of the Poincare dual $c_1$(E). This is an equivariant version of the Taubes' Theorem.

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Anti-Slip Control of Railway Vehicle Using Load Torque Disturbance Observer and Speed Sensor-less Vector Control (부하토크외란관측기와 속도센서리스 벡터제어를 이용한 철도모의장치의 Anti-Slip 제어)

  • Lee S. C.;Kwon J. D.;Kim Y. K.;Jho J. M.;Jeon K. Y.;Lee S. H.;Oh B. H.;Lee H. G.;Kim Y. J.;Han K. H.
    • Proceedings of the KIPE Conference
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    • 2004.07b
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    • pp.891-894
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    • 2004
  • This paper estimate coefficient of adhesion through speed sensor-less vector control and load torque disturbance observer used for maximum tractive force control. And also proposes anti-slip control algorithm, which controls torque force of motor in order to keep the estimated adhesion force in maximum adhesion by controlling PI torque with the differential value of estimated adhesion force coefficient.

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Modeling and Filter Design through Analysis of Conducted EMI in Switching Power Converters

  • Vimala, R.;Baskaran, K.;Aravind Britto, K.R.
    • Journal of Power Electronics
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    • v.12 no.4
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    • pp.632-642
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    • 2012
  • This paper presents a filter analysis of conducted Electro-Magnetic Interference (EMI) in switching power converters (SPC) based on noise impedances. The EMI characteristics of SPC can be analytically deduced from a circuit theoretical viewpoint. The analytical noise model is investigated to get a full understanding of the EMI mechanism. It is shown that with suitable and justified model, filters pertinent to EMI noise is investigated. The EMI noise is identified by time domain measurements associated with an isolated half-bridge ac-dc converter. Practical filters like LC filter, ${\pi}$ filter and complete EMI filters are investigated. The proposed analysis and results can provide a guideline for improving the effectiveness of filtering schemes in SPC. Experimental results are also included to verify the validity of the proposed method. The results obtained satisfy the Federal Communications Commission (FCC) class A and class B regulations.

A Study on the Electrical Properties of DLPC LB films (DLPC LB박막의 전계자격 응답특성)

  • Cho, S.Y.;Oh, J.H.;Lee, K.S.;Kim, H.J.;Kim, H.G.;Kim, B.C.
    • Proceedings of the KIEE Conference
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    • 1998.11c
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    • pp.810-812
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    • 1998
  • We studied on the $\pi$-A isotherm of the L-$\alpha$-DLPC was measured at the air-water interface varying with the compressing speed and amounts of solutions for spreading. The molecular arrangement of deposited films were evaluated by measuring the absorption with the UVspectrometer. We made structures of metal(Au)/organic thin films (L-$\alpha$-DLPC)/Metal(Au), the number of accumulated layers are 3. And I-V characteristic of the device examined.

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Exciton dissociation yields of semiconducting polymer thin film devices doped by various phosphorescent emitters

  • An, J.D.;Chang, J.Y.;Han, J.W.;Im, C.;Chin, B.D.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.1010-1013
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    • 2006
  • To understand the exact charge carrier photogeneration properties of photoactive thin films consisting of a ${\pi}-conjugated$ polymer matrix and a triplet dopant, we prepared two types of polymer, poly(9-vinylcarbazole) (PVK) and poly[9,9-bis(2- ethylhexyl)fluorene-2,7-diyl] (PF2/6) doped with triplet emitters for organic light-emitting diodes (OLED), either iridium(III)fac-tris(2-phenylpyridine) $(Ir(ppy)_3)$ or iridium(III)bis[(4,6-fluorophenyl)- $pyridinato-N,C^2'$]picolinate (FIrpic), as thin film devices by using the conventional method. Those doped film devices, as well as pristine film devices, on ITO substrates were characterized by means of steady state photocurrent measurement for a wide spectral range.

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Development of Control Algorithm of D-STATCON(Distribution STATic-CONden: Compensations of Voltage Flicker and Harmonics (전압 플리커 및 고조파 보상을 위한 배전용 STATCON의 제어알고리즘 개발)

  • Jeon, Y.S.;Oh, K.I.;Lee, K.S.;Choo, J.B.
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1282-1286
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    • 1999
  • This paper presents the DQ transfomation and space vector modulation method to develop a control algorithm of distribution STATCON(STATic CONdenser) for line voltage regulation, dc link voltage regulation and harmonics compensation. The Performance analysis of a PI with ramp comparision and synchronous reference frame current controller is carried out. Based on these analysis, the control performances are desirable to compensate the harmonics and to regulate de link and line voltage of Distribution line.

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