• Title/Summary/Keyword: Approach theory

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CONTROLLABILITY OF SECOND-ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

  • Arthi, Ganesan;Balachandran, Krishnan
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1271-1290
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    • 2011
  • The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with statedependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory Finally examples are presented to illustrate the theory.

Modelling the Mode Behavior of Circular Vertical-Cavity Surface-Emitting Laser

  • Ho, Kwang-Chun
    • International Journal of Internet, Broadcasting and Communication
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    • v.4 no.2
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    • pp.22-27
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    • 2012
  • The design characteristics of circular vertical-cavity surface-emitting lasers are studied by using a newly developed equivalent network. Optical parameters, such as the stop-band or the reflectivity of periodic mirrors and the resonance wavelength, are explored for the design of these structures. To evaluate the differential quantum efficiency and the threshold current density, a transverse resonance condition of modal transmission-line theory is also utilized. This approach dramatically reduces the computational time as well as gives an explicit insight to explore the optical characteristics of circular vertical-cavity surface-emitting lasers (VCSELs).

Analysis of Fatigue Durability on Seam Weldment using Notch Stress Approach (노치응력접근법을 이용한 차량구조재 용접이음부의 피로내구성 해석)

  • 김민건;민태국
    • Journal of Welding and Joining
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    • v.22 no.2
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    • pp.28-32
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    • 2004
  • Fatigue life at seam weldment of thick plate was estimated using the finite element and FEM-FAT(an exclusive fatigue solver). Finite element meshing at toe and root of weldment was based oil Radaj's theory. Also, the results of FE analysis were compared with experimental results in the point of Miner's Rule. The results of FE and FEM-FAT analysis were in accord with experimental results within 60% confidence. This result reveals that above techniques is useful in assessment of seam weldment and to be an alternative method instead of an object experiment.

EXISTENCE OF PERIODIC SOLUTIONS WITH PRESCRIBED MINIMAL PERIOD FOR A FOURTH ORDER NONLINEAR DIFFERENCE SYSTEM

  • LIU, XIA;ZHOU, TAO;SHI, HAIPING
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.491-504
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    • 2018
  • In this article, we consider a fourth order nonlinear difference system. By making use of the critical point theory, we obtain some new existence theorems of at least one periodic solution with minimal period. Our main approach used in this article is the variational technique and the Saddle Point Theorem.

MORSE INEQUALITIES FOR MANIFOLDS WITH BOUNDARY

  • Zadeh, Mostafa Esfahani
    • Journal of the Korean Mathematical Society
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    • v.47 no.1
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    • pp.123-134
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    • 2010
  • The aim of this paper is to provide a proof for a version of the Morse inequalities for manifolds with boundary. Our main results are certainly known to the experts on Morse theory, nevertheless it seems necessary to write down a complete proof for it. Our proof is analytic and is based on the J. Roe account of Witten's approach to Morse Theory.

Conservation Laws and Symmetry of Differential Equations -stories about E. Noether's Theorem- (보존률과 미분방정식의 대칭성 -뇌터의 정리를 중심으로-)

  • Han, Chong-Kyu
    • Journal for History of Mathematics
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    • v.31 no.5
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    • pp.211-222
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    • 2018
  • This paper surveys the theory of symmetry group of differential equations. A proof of the simplest version of the Noether's theorem on conservation laws has been presented with examples in the classical mechanics. As a new approach to the conservation laws the theory of characteristic cohomology due to S. H. Wang and others has been presented.

An Optimality Theoretic Approach to the Feature Model for Speech Understanding

  • Kim, Kee-Ho
    • Speech Sciences
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    • v.2
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    • pp.109-124
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    • 1997
  • This paper shows how a distinctive feature model can effectively be implemented into speech understanding within the framework of the Optimality Theory(OT); i.e., to show how distinctive features can optimally be extracted from given speech signals, and how segments can be chosen as the optimal ones among plausible candidates. This paper will also show how the sequence of segments can successfully be matched with optimal words in a lexicon.

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Development of the Expert System for Selection of Equipment for Automated Warehouses Using Reliability Theory (신뢰성 이론을 이용한 자동창고 설비 선정 전문가 시스템 개발에 관한 연구)

  • Lee, Young-Hae;Jeong, Chang-Sik
    • Asia pacific journal of information systems
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    • v.8 no.3
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    • pp.135-145
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    • 1998
  • There exists popular approach using certainty factor (CF) for the development of effective reasoning mechanism under uncertainty in Expert System, However, there is a problem with CF. The CF values could be resulted in the opposite of given conditional probabilities. In this paper, a method for, reasoning under uncertainty using reliability theory to overcome the problem is proposed. And the proposed method is used in the development of Expert System for the selection of equipment for automated warehouses.

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Theory and Practice of User Studies (이용자연구의 이론과 실제)

  • Han, Bock Hee
    • Journal of the Korean Society for information Management
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    • v.1 no.1
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    • pp.100-111
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    • 1984
  • The aim of this paper is to explain the theoretical links between the demand for library service and important variables; also it comments on the basis for a theory of the motivations for information-seeking behaviour and suggests the value of an active approach to user studies in libraries and information centers.

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Structure Optimization of Neural Networks using Rough Set Theory (러프셋 이론을 이용한 신경망의 구조 최적화)

  • 정영준;이동욱;심귀보
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.03a
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    • pp.49-52
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    • 1998
  • Neural Network has good performance in pattern classification, control and many other fields by learning ability. However, there is effective rule or systematic approach to determine optimal structure. In this paper, we propose a new method to find optimal structure of feed-forward multi-layer neural network as a kind of pruning method. That eliminating redundant elements of neural network. To find redundant elements we analysis error and weight changing with Rough Set Theory, in condition of executing back-propagation leaning algorithm.

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