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POSITIVE SOLUTIONS FOR A THREE-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN WITH A PARAMETER

  • YANG, YITAO;ZHANG, YUEJIN
    • Journal of applied mathematics & informatics
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    • 제34권3_4호
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    • pp.269-284
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    • 2016
  • In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕp(s) = |s|p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕp(s) = |s|p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

EIGENVALUE PROBLEMS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

  • Guo, Mingzhou;Sun, Hong-Rui
    • 대한수학회보
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    • 제46권5호
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    • pp.999-1011
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    • 2009
  • In this paper, we are concerned with the following eigenvalue problems of m-point boundary value problem for p-Laplacian dynamic equation on time scales $(\varphi_p(u^{\Delta}(t)))^\nabla+{\lambda}h(t)f(u(t))=0,\;t\in(0,T)$, $u(0)=0,\varphi_p(u^{\Delta}(T))=\sum\limits_{i=1}^{m-2}a_i\varphi_p(u^{\Delta}(\xi_i))$, where $\varphi_p(u)=|u|^{p-2}$u, p > 1 and $\lambda$ > 0 is a real parameter. Under certain assumptions, some new results on existence of one or two positive solution and nonexistence are obtained for $\lambda$ evaluated in different intervals. Our work develop and improve many known results in the literature even for the continual case. In doing so the usual restriction that $f_0=lim_{u{\rightarrow}0}+f(u)/\varphi_p(u)$ and $f_\infty = lim_{u{\rightarrow}{\infty}}f(u)/\varphi_p({u})$ exist is removed. As an applications, an example is given to illustrate the main results obtained.

차세대 전자정부에 있어서 UT 기반의 u-public transit 응용서비스 프로토타입 연구 (Research on prototype of UT-based u-public transit application service of u-Gov)

  • 정영철;배용근
    • 한국컴퓨터정보학회논문지
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    • 제17권7호
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    • pp.147-154
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    • 2012
  • 정보통신기술 발전으로 u-Gov의 진화방향은 커다란 영향을 미치게 된다. 이는 정부의 새로운 행정 가치를 추구하는 정부혁신의 핵심 수단으로 활용되고 있다. 따라서 본 논문에서는 e-Gov와 u-Gov의 차이점 분석을 통해서, u-Gov에 활용될 수 있는 u-public transit 응용서비스 프로토타입 시스템 구성을 제안하였다. 제안된 프로토타입이 구현될 때에 나타날 수 있는 과제로 e-Gov의 불안전한 요소를 제거하거나, u-public transit에 대한 대응체계를 위해 UT를 응용한 프로토타입의 정책적 함의도 고찰하였다.

풍지(風池)(GB20) 억간산(抑肝散) 약침이 국소 뇌손상으로 유발된 흰쥐의 인지장애에 미치는 영향 (Effects of Ukgansan Pharmacopuncture at GB20 on Cognitive Impariment Induced by Focal Brain Injury in Rats)

  • 이정훈;양태준;정상준;위통순
    • Journal of Acupuncture Research
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    • 제33권3호
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    • pp.101-116
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    • 2016
  • Objectives : This research was performed to investigate the effects of Ukgansan pharmacopuncture(U-PA) of focal brain ischemia induced by middle cerebral artery occlusion(MCAO) in rats. Methods : The subjects were divided into 5 groups : A control group, acupuncture group, pharmacopuncture group U-PA1($2.571mg/250g/40{\mu}{\ell}$), pharmacopuncture group U-PA2($6.428mg/250g/40{\mu}{\ell}$), and pharmacopuncture group U-PA3($12.855mg/250g/40{\mu}{\ell}$). The focal brain ischemia was induced by intraluminal filament insertion into the middle cerebral artery. After 3 days of MCAO, Ukgansan(UGS) pharmacopuncture treatment was performed on the GB20, and the day after being treated with pharmacopuncture, the Morris water maze test was carried out by the assigned group. The series of processes were treated 6 times. Thereafter Bax, Bcl-2, Bax/Bcl-2 ratio, mGluR5, density of neuronal cell, and ChAT were measured. Results : The results were as follows. 1. The intensity of Bax significantly decreased in the U-PA1, U-PA2, U-PA3 groups. 2. The Bax/Bcl-2 ratio significantly decreased in the U-PA3 group compared with the control group. 3. The neuroprotective effect on the hippocampal CA1 significantly increased in the U-PA1, U-PA2, U-PA3 groups compared with the control group. 4. The density of ChAT in the hippocampal CA1 significantly increased in the U-PA1, U-PA2, U-PA3 groups compared with the control group. Conclusion : These results suggest that UGS pharmacopuncture may have anti-apoptotic and neuroprotective effects on focal cerebral ischemia caused by intraluminal filament insertion into the middle cerebral artery in rats.

ELEMENTARY PROOF OF THE NONEXISTENCE OF NODAL SOLUTIONS FOR SOME QUASILINEAR ELLIPTIC EQUATIONS

  • Soo Hyun Bae;Dae Hyeon Pahk
    • 대한수학회논문집
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    • 제10권4호
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    • pp.925-929
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    • 1995
  • Consider the problem $-div($\mid$\bigtriangledown_u$\mid$^{p-2}\bigtriangledown_u) = $\mid$u$\mid$^{p^*-2}u + \lambda$\mid$u$\mid$^{q-2}u$ in B, u = 0 on $\partial B$; where $B \subset R^n$ is a ball, $\lambda < 0, 1 < p < n$ and $p^* = \frac{np}{n-p}$ is the critical Sobolev exponent. For given $\lambda > 0$, we show that there exists $k = k(\lambda) \in N$ such that any radial solutions to this problem have at most k noda curves when $p \leq q \leq p^* - 1$.

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Utility of Serum and Urine uPAR Levels for Diagnosis of Breast Cancer

  • Soydinc, Hilal Oguz;Duranyildiz, Derya;Guney, Nese;Derin, Duygu;Yasasever, Vildan
    • Asian Pacific Journal of Cancer Prevention
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    • 제13권6호
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    • pp.2887-2889
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    • 2012
  • Malignant tumors have a capacity to degrade the extracellular matrix by controlled proteolysis. One system involved in these processes is the urokinase-type plasminogen activator (uPA) system. uPAR levels are elevated in tumors from several types of cancer. Our study was planned to investigate serum and urine levels of uPAR in breast cancer patients (n=180) and healthy controls (n=60) by ELISA. Serum (p<0.001) and urine (p<0.001) uPAR values in the patients were both significantly elevated. High serum and urine levels of uPAR can be used as diagnostic tools in lymph node positive patients.

U-City의 통합운영센터에서 스마트그리드의 적용 (Application of Smart Grid in U-City Management Center)

  • 류성찬;윤준호;한정헌;김태완;박선규
    • 한국IT서비스학회:학술대회논문집
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    • 한국IT서비스학회 2010년도 춘계학술대회
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    • pp.133-138
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    • 2010
  • 본 연구에서는 유비쿼터스 도시의 통합운영센터가 가지고 있는 문제점들을 해결할 수 있고, 기존도시와의 IT서비스의 차별성을 위하여 스마트그리드를 운용하는 방안을 제안하였다. 이를 위하여 한국전력의 대리자, 해상풍력에너지 전력생산 및 판매, 그리고 정전대비 보완사항을 제시하였다. 이 연구로 유비쿼터스 도시에 대한 운영비 조달과 수익창출 및 정전에 의한 재난관리 예방이 기대되고, 유비쿼터스도시의 참조모델이 될 것으로 판단이 된다.

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상용 CAD 툴을 이용한 RFID 에뮬레이터 시스템 구현 (An Implementation of a Virtual RFID Emulator System using a Commercial CAD tool)

  • 임형무;배성우;정명섭;장병준;김준오;박준석;성영락;오하령
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2005년도 추계종합학술대회
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    • pp.1049-1054
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    • 2005
  • With the growth of RFID market in logistics industry, such as post office, airline, shipping etc., development of RFID readers and tags becomes crucial. Especially, $860{\sim}960MHz$ RFID is worth noticing because of its long identification range and low production cost. Therefore, performance tests and verification of reader and/or tag under development are very important. In this paper, a RFID emulator system is designed and implemented using a commercial CAD tool, a signal generator and a data acquisition device. With the RFID emulator system, many parameters such as spectrum masks, transmit power levels, data waveform and other RF characteristics can be analyzed. Furthermore it can be applied to the verification of real RFID Readers or Tags.

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GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx2 AND wx2 ∓ 1

  • Keskin, Refik
    • 대한수학회보
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    • 제51권4호
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    • pp.1041-1054
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    • 2014
  • Let $P{\geq}3$ be an integer and let ($U_n$) and ($V_n$) denote generalized Fibonacci and Lucas sequences defined by $U_0=0$, $U_1=1$; $V_0= 2$, $V_1=P$, and $U_{n+1}=PU_n-U_{n-1}$, $V_{n+1}=PV_n-V_{n-1}$ for $n{\geq}1$. In this study, when P is odd, we solve the equations $V_n=kx^2$ and $V_n=2kx^2$ with k | P and k > 1. Then, when k | P and k > 1, we solve some other equations such as $U_n=kx^2$, $U_n=2kx^2$, $U_n=3kx^2$, $V_n=kx^2{\mp}1$, $V_n=2kx^2{\mp}1$, and $U_n=kx^2{\mp}1$. Moreover, when P is odd, we solve the equations $V_n=wx^2+1$ and $V_n=wx^2-1$ for w = 2, 3, 6. After that, we solve some Diophantine equations.

PERFORMANCE EVALUATION OF U-Mo/Al DISPERSION FUEL BY CONSIDERING A FUEL-MATRIX INTERACTION

  • Ryu, Ho-Jin;Kim, Yeon-Soo;Park, Jong-Man;Chae, Hee-Taek;Kim, Chang-Kyu
    • Nuclear Engineering and Technology
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    • 제40권5호
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    • pp.409-418
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    • 2008
  • Because the interaction layers that form between U-Mo particles and the Al matrix degrade the thermal properties of U-Mo/Al dispersion fuel, an investigation was undertaken of the undesirable feedback effect between an interaction layer growth and a centerline temperature increase for dispersion fuel. The radial temperature distribution due to interaction layer growth during irradiation was calculated iteratively in relation to changes in the volume fractions, the thermal conductivities of the constituents, and the oxide thickness with the burnup. The interaction layer growth, which is estimated on the basis of the temperature calculations, showed a reasonable agreement with the post-irradiation examination results of the U-Mo/Al dispersion fuel rods irradiated at the HANARO reactor. The U-Mo particle size was found to be a dominant factor that determined the fuel temperature during irradiation. Dispersion fuel with larger U-Mo particles revealed lower levels of both the interaction layer formation and the fuel temperature increase. The results confirm that the use of large U-Mo particles appears to be an effective way of mitigating the thermal degradation of U-Mo/Al dispersion fuel.