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BOUNDARY VALUE PROBLEMS FOR NONLINEAR PERTURBATIONS OF VECTOR P-LAPLACIAN-LIKE OPERATORS

  • Manasevich, Raul;Mawhin, Jean
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.665-685
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    • 2000
  • The aim of this paper is to obtain nonlinear operators in suitable spaces whise fixed point coincide with the solutions of the nonlinear boundary value problems ($\Phi$($\upsilon$'))'=f(t, u, u'), l(u, u') = 0, where l(u, u')=0 denotes the Dirichlet, Neumann or periodic boundary conditions on [0, T], $\Phi$: N N is a suitable monotone monotone homemorphism and f:[0, T] N N is a Caratheodory function. The special case where $\Phi$(u) is the vector p-Laplacian $\mid$u$\mid$p-2u with p>1, is considered, and the applications deal with asymptotically positive homeogeneous nonlinearities and the Dirichlet problem for generalized Lienard systems.

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Staistical analysis and measurements of array receivers for use in optical communication (광통신에 이용되는 배열 수신기의 측정과 통계적 해석)

  • Sung, Pyung-Shik
    • Journal of the Korea Computer Industry Society
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    • v.8 no.1
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    • pp.57-64
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    • 2007
  • In the paper, considers the design of a detection system, consisting of n identical detectors, to process the sum of spatially invariant signal fields $S_\jmath(t)$, an additive, homogeneous, spatially isotropic (in the array plane x). covariance_separable, and zero_mean Gaussian random noise field n(t, x). consisting of arrey receivers for use in optical communication through optimum turbulence atmosphers and covriance_circuit, staistical analysis through detection the maximum gain are compared with analysis theoretical analysis theoretical value and get through experimental measured value, as well the measured valus are confirmed to agreement joint Gaussian theoretical curves.

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Surface pH Of The Northeastern Pacific Ocean

  • Park, Kilho
    • 한국해양학회지
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    • v.1 no.1_2
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    • pp.1-6
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    • 1966
  • A latitudinal, differential pH distribution is observed in the Northeastern Pacific Ocean with a pH range of 8.15 at high latitude (42 N) to 8.29 at low latitude (23 N). These pH values are generally greater than the calculated equilibrium pH with respect to atmospheric carbon dioxide. If we assume that the calculated equilibrium pH values ae valid, then the surface waters are undersaturated with respect to the atmospheric carbon dioxide during April to June 1966. A high surface pH value of about 8.26 was observed immediately south of the SubarcticBoundary zone near 170 W. This value differs from the equilibration pH by as much as 0.1 unit.

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Surgical treatment of congenital left ventricular outflow tract obstruction (선천성 좌심실유출로협착증의 수술요법)

  • 이상진
    • Journal of Chest Surgery
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    • v.27 no.7
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    • pp.576-580
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    • 1994
  • For 26 months since August 1991, 10 consecutive patients with congenital left ventricular outflow tract obstruction underwent corrective surgery in Pusan Paik Hospital. Their ages ranged from 2 to 18 years. There were 6 male and 4 female patients. According to stenotic site, obstruction were classified into supravalvular [n = 5], subvalvular [n = 4], valvular stenosis [n = 1]. We have performed patch enlargement of ascending aorta [n = 2], supravalvular membrane resection and patch enlargement of ascending aorta [n = 3], subvalvular membrane resection [n = 2], subvalvular membrane resection and left ventricular myectomy [n = 2] and aortic annuloplasty with Dacron patch and aortic valve replacement [n = 1]. Preoperative mean value of systolic pressure gradient were 85.0 $\pm$29.2mmHg[supravalvular], 70.0mmHg[valvular], 72.5 $\pm$ 22.5mmHg[subvalvular], and 78.5 $\pm$ 24.3mmHg[total]. Postoperative mean value of systolic pressure gradient were 31.0 $\pm$ 8.9mmHg[supravalvular], 0mmHg[valvular], 15.0 $\pm$ 10.8mmHg[subvalvular], and 21.5 $\pm$ 13.9mmHg[total]. Postoperative systolic pressure gradient was decreased significantly[p = 0.001]. Postoperative course and short-term follow up results were good except one case of transient heart failure.

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A Cooperative K-out-of-n Spectrum Sensing Method Considering Optimal Threshold (최적의 임계값을 고려한 K-out-of-n 협력 스펙트럼 검출 기법)

  • Choi, Moon-Geun;Kong, Hyung-Yun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.8
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    • pp.761-767
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    • 2011
  • In this paper, to improve performance of spectrum sensing, we propose the method which can find optimal threshold based on power of PU(Primary User) signal. To find optimal threshold value, we will use mathematical method, and find threshold which can has lowest error probability. Each SU(Secondary User) use this threshold and All Su makes local decision. All Su Send local decision to FC(Fusion Center). In this paper we consider K-out-of-n rule to combining local decision. To make global decision value, FC find optimal n. In the FC. FC received local decision which has lowest error probability and using optimal n and these vaule. FC make global decision value. In this paper, to analysis performance proposed scheme, we simulate proposed scheme using matlab and compare with traditional OR Rule. As a result of simulation, we can know that preposed scheme can get a better performance than traditional OR rule.

Automatic Histogram Specification Based on Fuzzy Membership Value for Image Enhancement (퍼지 멤버쉽 값을 이용한 히스토그램 명세화)

  • 황태호;이정훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.317-320
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    • 2002
  • In this paper, an automatic histogram specification method is proposed for image enhancement, Fuzzy membership value is adopted for the representation of image histogram. The desired PDF is automatically constructed by the fuzzy membership value. Fuzzy membership value is extracted from dark membership, bright membership function and original histogram. The effectual results are demonstrated by desired PDF which meet the image enhancement requirements. The performance and effectiveness are shown by the analysis and the resultant image in comparison with histogram equalization method.

The intermediate solution of quasilinear elliptic boundary value problems

  • Ko, Bong-Soo
    • Journal of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.401-416
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    • 1994
  • We study the existence of an intermediate solution of nonlinear elliptic boundary value problems (BVP) of the form $$ (BVP) {\Delta u = f(x,u,\Delta u), in \Omega {Bu(x) = \phi(x), on \partial\Omega, $$ where $\Omega$ is a smooth bounded domain in $R^n, n \geq 1, and \partial\Omega \in C^{2,\alpha}, (0 < \alpha < 1), \Delta$ is the Laplacian operator, $\nabla u = (D_1u, D_2u, \cdots, D_nu)$ denotes the gradient of u and $$ Bu(x) = p(x)u(x) + q(x)\frac{d\nu}{du} (x), $$ where $\frac{d\nu}{du} denotes the outward normal derivative of u on $\partial\Omega$.

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REGULARITY OF THE SCHRÖDINGER EQUATION FOR A CAUCHY-EULER TYPE OPERATOR

  • CHO, HONG RAE;LEE, HAN-WOOL;CHO, EUNSUNG
    • East Asian mathematical journal
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    • v.35 no.1
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    • pp.1-7
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    • 2019
  • We consider the initial value problem of the Schrodinger equation for an interesting Cauchy-Euler type operator ${\mathfrak{R}}$ on ${\mathbb{C}}^n$ that is an analogue of the harmonic oscillator in ${\mathbb{R}}^n$. We get an appropriate $L^1-L^{\infty}$ dispersive estimate for the solution of the initial value problem.

Kinetics and Mechanism of the Anilinolysis of Aryl N,N-Dimethyl Phosphoroamidochloridates in Acetonitrile

  • Barai, Hasi Rani;Lee, Hai Whang
    • Bulletin of the Korean Chemical Society
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    • v.35 no.3
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    • pp.753-757
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    • 2014
  • The nucleophilic substitution reactions of Y-aryl N,N-dimethyl phosphoroamidochloridates with substituted anilines and deuterated anilines are kinetically investigated in acetonitrile at $65.0^{\circ}C$. A stepwise mechanism with a rate-limiting leaving group departure from the intermediate is proposed based on the positive ${\rho}_{XY}$ value. The deuterium kinetic isotope effects involving deuterated anilines show secondary inverse with all the nucleophiles, rationalized by a dominant backside nucleophilic attack.