• 제목/요약/키워드: integral solution

검색결과 607건 처리시간 0.03초

COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

  • Deshpande, Bhavana;Sharma, Sushil;Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제20권3호
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    • pp.159-180
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    • 2013
  • We establish a common fixed point theorem for mappings under ${\phi}$-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.

3차원 경계적분방정식법을 이용한 정전장 해석 (Electric Field Analysis Using Three Dimensional Boundary Integral Equation Method)

  • 김재홍;김동훈;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 B
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    • pp.828-830
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    • 2000
  • This paper describes BIEM(Boundary Integral Equation Method) for computation of three dimensional electric field distribution and numerical method that an equivalent charge density is unknown variable. After computing numerically the surface charge distribution. the distribution of both potential and electric field are obtained. Finally, this numerical method is applied to the concentric sphere and the coaxial cylindrical model and numerical result is compared to the analytic solution.

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STOCHASTIC CALCULUS FOR BANACH SPACE VALUED REGULAR STOCHASTIC PROCESSES

  • Choi, Byoung Jin;Choi, Jin Pil;Ji, Un Cig
    • 충청수학회지
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    • 제24권1호
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    • pp.45-57
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    • 2011
  • We study the stochastic integral of an operator valued process against with a Banach space valued regular process. We establish the existence and uniqueness of solution of the stochastic differential equation for a Banach space valued regular process under the certain conditions. As an application of it, we study a noncommutative stochastic differential equation.

LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS

  • Yang, Guangchong;Chen, Xia;Xiao, Lan
    • Nonlinear Functional Analysis and Applications
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    • 제26권1호
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    • pp.83-92
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    • 2021
  • This paper studies approximate solutions for a class of nonlinear diffusion population models. Our methods are to use the fundamental solution of heat equations to construct integral forms of the models and the well-known Banach compression map theorem to prove the existence of positive solutions of integral equations. Non-steady-state local approximate solutions for suitable harvest functions are obtained by utilizing the approximation theorem of multivariate continuous functions.

비최소 위상 시스템에 대한 적분기를 갖는 직접 적응제어 (Direct Adaptive Control Scheme with Integral Action for Nonminimum Phase Systems)

  • 김종환;최계근
    • 대한전자공학회논문지
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    • 제23권4호
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    • pp.445-449
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    • 1986
  • This paper presents a direct adaptive control scheme for nonminimum phase systems of which controller parameters are estimated from the least-squares algorithm, and some additional auxiliadry parameters are obtianed from the proposed polynomial identity equation. Integral action is incorporated into the adaptive controller to eliminate the steady-state error, and to satisfy a condition of the unique solution for the polynomial identity as well.

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자장 적분방정식을 이용한 3 차원 임의 형태 도체 구조의 지연 산란 해석 (Analysis of Transient Scattering from 3-Dimensional Arbitrarily Shaped Conducting Structures Using Magnetic Field Integral Equation)

  • 정백호;김채영
    • 한국통신학회논문지
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    • 제27권4B호
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    • pp.379-387
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    • 2002
  • 본 논문에서는 표면이 닫혀진 삼차원 도체 구조의 전자파 지연 산란 응답을 얻기 위하여 임의 구조의 모델링에 적합한 삼각형 전개함수를 이용하여 시간영역 자장 적분방정식(Time-Domain Magnetic Field Integral Equation, TD-MFIE)의 해석 과정을 제안하였다. 이를 통하여 산란 도체로부터 정확하구 시간영역 전장 적분방정식(Time-Domain Electric Field Integral Equation, TD-EFIE)과 비교하여 상대적으로 안정된 지연 응답의 해를 구할 수 있었다. 자세한 공식화의 전개 과정과 육면체 및 구와 원통형 도체에 대한 수치 예를 보였으며, TD-EFIE로부터 계산된 해 및 주파수 영역에서 동일한 전개함수를 이용하여 EFIE 및 MFIE로부터 얻어진 결과를 시간영역으로 변환한 해와도 비교하였다.

Investigation of the Validity of the Image Model for the Analysis of Spherical Wave Reflection

  • Suh, Jin-Sung;Cheung, Wan-Sup
    • The Journal of the Acoustical Society of Korea
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    • 제17권3E호
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    • pp.27-34
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    • 1998
  • The validity of the image model is investigated both analytically and experimentally in a half space with an infinite single reflecting surface present. This paper exploits the Sommerfeld integral that represents the exact solution for the reflected field in the half space. The solution is shown to be obtained by direct numerical integration which yields more accurate and stable results. The predicted results from the image model are compared to those from the direct numerical integration of the Sommerfeld integral. It is also experimentally demonstrated that the image model gives acceptably accurate results. It is of significance that this paper reveals analytical and experimental validation of using the image model except near-grazing incidence.

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유전체가 덮혀진 임의의 Profile을 갖는 도체 격자에 의한 산란현상 (Scattering of by Dielectric-Coated Conducting Grating with an Arbitrary Profile)

  • 이동국;이철훈조웅희조영기
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.375-378
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    • 1998
  • Scattering of TE waves by a periodic conducting surface with dielectric cover is considered. A method for the aalysis of scattering from periodic structures based on the numerical solution of the integral equations is further developed. Using periodicity (Floquet's theorem), the range of the integral equations is reduced to a single period where the kernels are the Green's functions for periodic arrays. The numerical solution of the intergral equations is obtained using the method of moments. From numerical results for the reflected power the effects of surface profile shape, period-to-depth ratio, and cover permittivity on the scattering behaviors are examined.

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Elliptic Integral Solutions of Large Deflection of Reinforcing Fiber Elastica with Circular Wavy Pattern

  • Jung, Jae-Ho;Lee, Kyung-Woo;Kang, Tae-Jin
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.163-169
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    • 2001
  • The solution of two-dimensional deflection of circular wavy reinforcing fiber elastics was obtained for one end clamped boundary under concentrated load condition. The fiber was regarded as a linear elastic material. Wavy shape was described as a combination of half-circular arc smoothly connected each other with constant curvature of all the same magnitude and alternative sign. Also load direction was taken into account. As a result, the solution was expressed in terms of a series of elliptic integrals. These elliptic integrals had two different transformed parameters involved with load value and initial radius of curvature. While we found the exact solutions and expressed them in terms of elliptic integrals, the recursive ignition formulae about the displacement and arc length at each segment of circular section were obtained. Algorithm of determining unknown parameters was established and the profile curve of deflected beam was shown in comparison with initial shape.

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