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A REFINEMENT OF LYAPUNOV-TYPE INEQUALITY FOR A CLASS OF NONLINEAR SYSTEMS
김용인 한국수학교육학회 2011 純粹 및 應用數學 Vol.18 No.4
Some new Lyapunov-type inequalities for a class of nonlinear di®eren-tial systems, which are natural re¯nements and generalizations of the well-known Lyapunov inequality for linear second order di®erential equations, are given. The results of this paper cover some previous results on this topic.
김용인,류지호,민문기,박맹렬,박순창,염석란,한상균,박성욱,이성화 대한응급의학회 2018 Clinical and Experimental Emergency Medicine Vol.5 No.2
Objective To assess whether ultrasonographic examination compared to chest radiography (CXR) is effective for evaluating complications after central venous catheterization. Methods We performed a prospective observational study. Immediately after central venous catheter insertion, we asked the radiologic department to perform a portable CXR scan. A junior and senior medical resident each performed ultrasonographic evaluation of the position of the catheter tip and complications such as pneumothorax and pleural effusion (hemothorax). We estimated the time required for ultrasound (US) and CXR. Results Compared to CXR, US could equivalently identify the catheter tip in the internal jugular or subclavian veins (P=1.000). Compared with CXR, US examinations conducted by junior residents could equivalently evaluate pneumothorax (P=1.000), while US examinations conducted by senior residents could also equivalently evaluate pneumothorax (P=0.557) and pleural effusion (P=0.337). The required time for US was shorter than that for CXR (P<0.001). Conclusion Compared to CXR, US could equivalently and more quickly identify complications such as pneumothorax or pleural effusion.
EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS
김용인 한국수학교육학회 2011 純粹 및 應用數學 Vol.18 No.1
The existence of T-periodic solutions for a general class of p-Laplacian equations is investigated. By using coincidence degree theory, some existence and uniqueness results, which generalize some earlier works on this topic, are presented.
SUFFICIENT CONDITIONS FOR THE INTERSECTION PROPERTY IN GENERALIZED LI¶ENARD SYSTEMS
김용인 한국수학교육학회 2011 純粹 및 應用數學 Vol.18 No.3
Some new results on the intersection property of all nonzero solutions of a class of planar systems of Li¶enard type with vertical isoclines are obtained. The results of this paper generalize some previous results on this ¯eld.
EXISTENCE OF PERIODIC SOLUTIONS FOR PLANAR HAMILTONIAN SYSTEMS AT RESONANCE
김용인 대한수학회 2011 대한수학회지 Vol.48 No.6
The existence of periodic solutions for the planar Hamilton-ian systems with positively homogeneous Hamiltonian is discussed. The asymptotic expansion of the Poincare map is calculated up to higher or-der and some sufficient conditions for the existence of periodic solutions are given in the case when the first order term of the Poincare map is identically zero.
논문집 초록 : 학술발표일정 ; 3. 포스터발표 : 폐기물 매립지 차수층에서 중금속에 대한 흡착등온식의 적용성
김용인,김병찬,류지협,김만식 한국환경관리학회 2003 하계학술연구발표회 Vol.2003 No.-
쓰레기 매립지의 차수층 훼손으로 인한 오염물 유출은 흙과 지하수의 환경을 오염시키는 결과를 초래한다. 본 논문에서는 매립지의 차수재로 사용되는 석회계 고화재(PB)에 대한 중금속의 흡착실험결과를 분석하여 선형, Freundlich, Langmuir 등온식의 적용성을 상관계수를 이용하여 평가하였으며, 중금속 농도가 10ppm 이하로 낮을 경우에 대한 용질이동 수치해석을 수행하였다. 본 연구결과는 Freundlich 등온식이 실험에 사용된 아연, 크롬, 납에 대한 흡착특성을 잘 모사하는 것으로 나타났으며 Langmuir 등온식은 아연에만 적용 가능한 것으로 나타났다. 중금속 농도가 10ppm 이하로 낮은 경우에 대한 수치해석결과는 선형, Freundlich, Langmuir 등온식 모두 동일한 용질 이동특성을 나타냈다. Soil and ground water may be contaminated by pollutants from the waste landfill area. This paper aimed at investigating the application of adsorption isotherm - linear isotherm, Freundlich isotherm and Langmuir isotherm by using correlation parameter. And so, the results of adsorption batch test for heavy metal were analyzed for hardened barrier material(PB) located in the layer of waste landfill. Numerical analyses on contaminant transport were carried out in the case that the concentration of heavy metal was lower than 10ppm. The results of batch test showed that Freundlich isotherm among various isotherms represented the adsorption characteristics of zinc, chromium and lead as well and Langmuir isotherm only could apply for zinc. It was found from numerical analyses that three isotherms were all appeared the same results when the concentration of heavy metal was lower than 10ppm.