• Title/Summary/Keyword: Jumping

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CRITICAL POINT THEORY AND AN ASYMMETRIC BEAM EQUATION WITH TWO JUMPING NONLINEAR TERMS

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.17 no.3
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    • pp.299-314
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    • 2009
  • We investigate the multiple nontrivial solutions of the asymmetric beam equation $u_{tt}+u_{xxxx}=b_1[{(u + 2)}^+-2]+b_2[{(u + 3)}^+-3]$ with Dirichlet boundary condition and periodic condition on t. We reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions of the equation.

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TWO JUMPING NONLINEAR TERMS AND A NONLINEAR WAVE EQUATION

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.675-687
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    • 2009
  • We find the multiple nontrivial solutions of the equation of the form $u_{tt}-u_{xx}=b_1[(u+1)^{+}-1]+b_2[(u+2)^{+}-2]$ with Dirichlet boundary condition. Here we reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions.

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MULTIPLE SOLUTIONS FOR THE NONLINEAR PARABOLIC PROBLEM

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.251-259
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    • 2009
  • We investigate the multiple solutions for the nonlinear parabolic boundary value problem with jumping nonlinearity crossing two eigenvalues. We show the existence of at least four nontrivial periodic solutions for the parabolic boundary value problem. We restrict ourselves to the real Hilbert space and obtain this result by the geometry of the mapping.

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Provision for Earthquake with Tie up Device in X-ray Equipment (지진을 대비한 방사선기기의 고정방법)

  • Kim, Jung-Min;Miyamoto, Tadao
    • Journal of radiological science and technology
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    • v.25 no.1
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    • pp.39-48
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    • 2002
  • Earthquake are not frequent in korea but exist. The purpose of this study is to make a fixation(tie up) device against earthquake for radiologic department installation. It is considered that the device will prevent the X-ray equipment fall down, slip, Jumping therefor save the X-ray equipment itself and making possible to examine patients even when occuring earthquake, Discussion on how to make and how to set up was researched.

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Graft selection in ACL reconstruction

  • Lee Dong-Cheol
    • 대한정형외과스포츠의학회:학술대회논문집
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    • 2003.11a
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    • pp.44-57
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    • 2003
  • 1) Choice of graft selection : depends on surgeon's philosophy & experience, tissue availability(anatomical anomalies, prior surgery or injury) & patient activity level & desiers. patients - educated as to potential advantage & disadvantages of each choice available to them. No one graft has been shown to be overwhelmingly superior to another. 2) High demand individual (cutting, pivoting, jumping sports, skiing) - BPTB graft choice Lower demand or older individuals - hamstring reconstruction Allograft : older individuals(45 years old) sign of arthritis(compelling evidence of instability) individual who do not want their own tissue Prosthetic ligaments - long term results : disappointing

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Trends in Researches for Fourth Order Elliptic Equations with Dirichlet Boundary Condition

  • Park, Q-Heung;Yinghua Jin
    • Journal for History of Mathematics
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    • v.16 no.4
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    • pp.107-115
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    • 2003
  • The nonlinear fourth order elliptic equations with jumping nonlinearity was modeled by McKenna. We investigate the trends for the researches of the existence of solutions of a fourth order semilinear elliptic boundary value problem with Dirichlet boundary Condition, ${\Delta}^2u{+}c{\Delta}u=b_1[(u+1)^{-}1]{+}b_2u^+$ in ${\Omega}$, where ${\Omega}$ is a bounded open set in $R^N$ with smooth boundary ${\partial}{\Omega}$.

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Jumping Control of a Cat Robotic System by Model Transformation (모델변환에 의한 고양이 로봇 시스템의 점핑제어)

  • Suh, Jin-Ho;Yamakita, Masaki;Kim, Sang-Bong
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2427-2429
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    • 2002
  • 본 논문에서는, 지붕위로 뛰어오르기 위하여 벽의 반동을 이용하는 고양이의 운동상태를 흉내내어 수직의 방향으로 운동하는 고양이 로봇 시스템을 연구한다. 또한 이러한 로봇 시스템의 3-link 부분시스템의 운동은 slider-link에서 구속되어지고, 또한 singular자세를 쉽게 피할 수 있는 운동계획방법(motion planning method)을 제안한다. 제안되어진 연구결과는 수직동작에 대한 메카니즘에 유용한 방법이고 이론적 개념, 모델링, 그리고 제어를 논의한다. 마지막으로, 모의실험을 통한 결과로서 제안되어진 방법의 유용성을 설명한다.

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THE EXISTENCE OF THE SOLUTION OF ELLIPTIC SYSTEM APPLYING TWO CRITICAL POINT THEOREM

  • Nam, Hyewon
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.53-64
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    • 2018
  • This paper deals with the study of solutions for the elliptic system with jumping nonlineartity and growth nonlinearity and Dirichlet boundary condition. We apply the two critical point theorem when proving the existence of nontrivial solutions for the elliptic system. We define the energy functional associated to the elliptic system and prove that the functional has two critical values.

A Study on Optimal Designs of Server Port Connections for Smaller User Group

  • Lee, Sang-Bock;Kim, Hyun-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.13-18
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    • 2006
  • The purpose of this paper is to identify optimal designs of server port connections between two server system for 200-300 user group. Given 3 empirical models as user and port parallel server types under some conditions of 100 Mbps and optimal CPU temperature suggested by Lee and Kim(2005), our results are shown; port parallel model was optimal when traffic processing times measured, and 250 traffics was jumping point as a critical point in our cases.

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