• Title/Summary/Keyword: analytic condition

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A FEW RESULTS ON JANOWSKI FUNCTIONS ASSOCIATED WITH k-SYMMETRIC POINTS

  • Al Sarari, Fuad S;Latha, Sridhar;Darus, Maslina
    • Korean Journal of Mathematics
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    • v.25 no.3
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    • pp.389-403
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    • 2017
  • The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with respect to k-symmetric points. We also study certain interesting properties like covering theorem, convolution condition, neighborhood results and argument theorem.

ON MULTI SUBSPACE-HYPERCYCLIC OPERATORS

  • Moosapoor, Mansooreh
    • Communications of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.1185-1192
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    • 2020
  • In this paper, we introduce and investigate multi subspace-hypercyclic operators and prove that multi-hypercyclic operators are multi subspace-hypercyclic. We show that if T is M-hypercyclic or multi M-hypercyclic, then Tn is multi M-hypercyclic for any natural number n and by using this result, make some examples of multi subspace-hypercyclic operators. We prove that multi M-hypercyclic operators have somewhere dense orbits in M. We show that analytic Toeplitz operators can not be multi subspace-hypercyclic. Also, we state a sufficient condition for coanalytic Toeplitz operators to be multi subspace-hypercyclic.

Study on the Fire Resistance of Structural Beams Made of Ordinary Structural Steel(SS 400) According to Boundary Conditions (경계조건에 따른 일반강재 적용 보부재의 내화성능 연구)

  • Kwon, In-Kyu
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2014.11a
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    • pp.167-168
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    • 2014
  • Building destruction can be occurred by decreasing of structural stability and deformation according to fire. Especially, a structural behavior of beam can be shown a slightly difference by beam types. In this paper, an evaluation of the structural stability of beam made of ordinary structural steel designed by fixed and simple boundary condition was done by an analytic method using mechanical properties of SS 400 and an heat transfer theory.

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Average Walk Length in One-Dimensional Lattice Systems

  • Lee Eok Kyun
    • Bulletin of the Korean Chemical Society
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    • v.13 no.6
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    • pp.665-669
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    • 1992
  • We consider the problem of a random walker on a one-dimensional lattice (N sites) confronting a centrally-located deep trap (trapping probability, T=1) and N-1 adjacent sites at each of which there is a nonzero probability s(0 < s < 1) of the walker being trapped. Exact analytic expressions for < n > and the average number of steps required for trapping for arbitrary s are obtained for two types of finite boundary conditions (confining and reflecting) and for the infinite periodic chain. For the latter case of boundary condition, Montroll's exact result is recovered when s is set to zero.

HIGHER ORDER CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH RUSCHEWEYH DERIVATIVE OPERATOR

  • NOOR, KHALIDA INAYAT;SHAH, SHUJAAT ALI
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.133-143
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    • 2021
  • The purpose of this paper is to introduce and study certain subclasses of analytic functions by using Ruscheweyh derivative operator. We discuss various of interesting properties such as, necessary condition, arc length problem and growth rate of coefficient of newly defined class. Also rate of growth of Hankel determinant will be estimated.

CONTROLLABILITY FOR SEMILINEAR STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAYS IN HILBERT SPACES

  • Kim, Daewook;Jeong, Jin-Mun
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.4
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    • pp.355-368
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    • 2021
  • In this paper, we investigate necessary and sufficient conditions for the approximate controllability for semilinear stochastic functional differential equations with delays in Hilbert spaces without the strict range condition on the controller even though the equations contain unbounded principal operators, delay terms and local Lipschitz continuity of the nonlinear term.

Development of Evaluation Items and Indicators for Hydrological Safety on Agricultural Reservoir (농업용저수지 수문학적 안전성 평가 항목 및 지표 개발)

  • Lee, Jae Ju;Rhee, Kyoung Hoon;Park, Jong Seok;Han, Chang Wha;Jin, Wan Gyu
    • Journal of Wetlands Research
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    • v.16 no.4
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    • pp.403-411
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    • 2014
  • This study Development of Evaluation Items and Indicators for Hydrological Safety on Agricultural Reservoir improvement and grasped the relative importance through stratification of the evaluation points through AHP technique exercised by group of experts. Below conclusion was acquired based on the study done. Firstly, the hierarchy of the evaluation items was divided into two layers: there were six upper evaluation items and eleven lower evaluation items. Secondly, using the analytic hierarchy process, the importance values of the six upper evaluation items were determined via the paired comparison questionnaire survey and consistency check, which were in the order of maintenance condition (condition evaluation grade), freeboard of levee body (non-overtopping), discharge capacity of spillway, potential flood damage, flood calculation factor and freeboard of downstream bank. The maintenance condition(condition evaluation grade) was significantly influenced the results of the hydrological safety on agricultural reservoir evaluation results. Finally, the study indicated that in the short term, improving the safety check condition evaluation grade will be useful to improve the hydrological safety of the agricultural reservoir because it can be performed immediately.

Optimal Conditions for Maximizing Altitude of Sounding Rocket (사운딩로켓의 고도 극대화를 위한 최적조건)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.3
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    • pp.41-48
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    • 2012
  • A study to determine the optimal jet conditions for maximizing altitude of the sounding rocket is conducted. The behavior of a simplified one-dimensional momentum equation including aerodynamic drag is investigated. The case where an analytic solution exists and the case where the mass flow rate is constant are calculated. The solutions are compared with numerical solutions. It is shown that there are the optimal jet conditions for maximizing altitude of a sounding rocket and the optimal condition is a function of the rocket mass ratio.

The Perfectly Matched Layer applied to the Split-Step Pade PE Solver in an Ocean Waveguide

  • Lee, Keun-Hwa;Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.3E
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    • pp.131-136
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    • 2006
  • The PML developed for the radio wave propagation is a powerful numerical domain truncation technique. We perform an analytic study on the reflection from the PML inserted in the ocean bottom. In the ocean bottom, we show the PML to have the improved performance but simultaneously the degeneration below the critical angle of the fast ocean bottom. The degeneration of the PML can be simply relaxed by stretching the thickness of the PML or putting the attenuation coefficient to the ocean bottom. As a better solution, we propose the improved truncation technique based on the PML and the non-local boundary condition. Finally, we apply the PML to the acoustic wave propagation using split-step Pade PE solver. For the problems of the ocean waveguide, the numerical efficiency of the PML is examined and the usefulness of the PML is confirmed.

The Analytic and Experimental Study on the Expectation of the Thermal-Moisture Transfer in the Concrete (콘크리트 내부 온습도 변화 예측에 관한 수치모델 구축 및 실측)

  • Park, Dong-Cheon;Oh, Sang-Gyun;Kim, Jeong-Jin
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.265-266
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    • 2009
  • To know the thermal-moisture condition of the concrete is very important to expect the concrete durability such as chloride attack, carbonation, alkali-aggregate reaction, freezing damage. The purpose of this study is to establish the temperature-moisture coupled model which is based on the finite element method and measure temperature and relative humidity under the exposured condition.

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