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ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS

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Acta Mathematica Scientia 2018年第1期38卷 220-236页

作者： kuo-Shou CHIU departamento de matemática facultad de ciencias básicas universidad metropolitana de ciencias de la educación Jose Pedro Alessandri 774 Santiago Chile

In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type （DEPCAG）. This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.

关键词： piecewise constant argument of generalized type hybrid equations equivalence asymptotic behavior Gronwall's inequality

The fabrication of ideal diamond disk(IDD)by casting diamond film on silicon wafer

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金刚石与磨料磨具工程 2008年第S1期28卷 130-133,142页

作者： Chen Ying-Tung sung James C. Kan Ming-Chi Chang Hsiao-kuo sung Michael Department of Mechatronic Energy and Aerospace EngineeringNational Defense University KINIK Company 64Chung-San Rd.Ying-KuoTaipei Hsien 239Taiwan National Taiwan University National Taipei University of Technology KINIK Company 64Chung-San Rd.Ying-Kuo National Cheng-Kung University Advanced Diamond Solutions Inc.351 King Street Suite 813San FranciscoCA 94158USA

With the relentless densification of interconnected circuitry dictated by Moore’ s Law,the CMP manufacture of such delicate wafers requires the significant reduction of polishing pressure of integrated circuits,not only globally,but also locally on every tip of the pad *** diamond disks used for dressing the polyurethane pads cannot produce asperities to achieve such uniformity.A new design of diamond disk was fabricated by casting diamond film on a silicon wafer that contains patterned etching pits. This silicon mold was subsequently removed by dissolution in a hydroxide *** diamond film followed the profile of the etching pits on silicon to form pyramids of identical in size and *** variation of their tip heights was in microns of single digit that was about one order of magnitude smaller than conventional diamond disks for CMP ***,the diamond film contained no metal that might contaminate the circuits on polished wafer during a CMP *** continuous diamond film could resist any corrosive attack by slurry of acid or ***,in-situ dressing during CMP is possible that may improve wafer uniformity and production *** ideal diamond disk(IDD) is designed for the future manufacture of advanced semiconductor chips with node sizes of 32 nm or smaller.

关键词： CMP pad conditioner diamond film CVD Moore’s Law 32 nm node

TAUBERIAN THEOREMS FOR WEAK ALMOST CONVERGENT FUNCTIONS

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Acta Mathematica Scientia 2011年第3期31卷 1203-1212页

作者： Meng-Kuang kuo Center for General Education Jen- Teh Junior College of Medicine Nursing and Management NO 79-9 Sha-Luen Hu Xi-Zhou Li Hou-Loung Town Miaoli County Taiwan China

The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences （see [5]）. In this paper, we establish the Ta... 详细信息

关键词： almost convergent functions weak almost convergent functions Tauberian theorems Cauchy criterions

A Three-Point Method for Separating Incident and Reflected Waves over A Sloping Bed

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China Ocean Engineering 2002年第4期17卷 499-511页

作者： CHANG Hsien-kuo Department of Civil Engineering National Chiao Tung UniversityHsinchu 300China

This study presents a three-point method for separating incident and reflected waves to explain normally incident waves' propagating over a sloping bed. linear wave shoaling is used to determine changes in wave amplitude and phase in response to variations of bathymetry. The wave reflection coefficient and incident amplitude are estimated from wave heights measured at three fixed wave gauges with unequal spacing. Sensitivity analysis demonstrates that the proposed method can predict the reflection and amplitude of waves over a sloping bed more accurately than the two-point method.

关键词： reflected wave wave shoaling sloping bed

Medical treatment for a fish bone-induced ileal micro-perforation:A case report

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World Journal of Gastroenterology 2012年第41期18卷 5994-5998页

作者： Chein-Chung kuo Tsu-Kang Jen Cheng-hsin Wen Chih-Ping Liu Hai-sung Hsiao Yao-Chi Liu Kuan-Ho Chen Department of Emergency Medicine Kang-Ning General HospitalTaipei City 114 Taiwan China Department of Family Medicine Kang-NingGeneral Hospital Taipei City 114 Taiwan China Department of Radiology Kang-Ning GeneralHospital Taipei City 114 Taiwan China Department of General Surgery Kang-Ning General Hospital Taipei City 114 Taiwan China

Ingested fish bone induced intestinal perforations are seldom diagnosed preoperatively due to incomplete patient history taking and difficulties in image evidence *** literature suggests early surgical intervention to prevent sepsis and complications resulting from fish bone *** report the case of a 44-year-old man suffered from acute abdomen induced by a fish bone *** diagnosis was supported by computed tomography(CT) imaging of fish bone lodged in distal ileum and a history of fish ingestion recalled by the *** treatment was elected to manage the patient's condition instead of surgical *** treatment resulted in a complete resolution of abdominal pain on hospital day number 4 without *** affecting clinical treatment decisions include the nature of microperforation,the patient's good overall health condition,and the early diagnosis before sepsis signs ***-perforation means the puncture of intestine wall without CT evidence of free air,purulent peritoneum or *** subsequently reviewed the literature to support our decision to pursue medical instead of surgical intervention.

关键词： Fish bone ingestion Micro-perforation Decision-making Medical treatment Small intestine

On generalized impulsive piecewise constant delay differential equations

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Science China Mathematics 2015年第9期58卷 1981-2002页

作者： CHIU kuo-Shou Departamento de Matemtica Facultad de Ciencias Bsicas Universidad Metropolitana de Ciencias de la Educación

A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are *** include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications.

关键词： impulsive differential equation piecewise constant delay of generalized type variation of parameters formula Gronwall integral i

ADDITIVE PERTURBATIONS OF LOCAL C-SEMIGROUPS

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Acta Mathematica Scientia 2015年第6期35卷 1566-1576页

作者： Chung-Cheng kuo Department of Mathematics Fu Jen University

In this paper, we apply the contraction mapping theorem to establish some bounded and unbounded additive perturbation theorems concerning local C-semigroups. Some growth conditions of perturbations of local C-semigrou... 详细信息

关键词： local C-semigroup generator abstract Cauchy problem perturbation

Ultrasonic vibrating system design and tool analysis

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中国有色金属学会会刊：英文版 2009年第B09期19卷 225-231页

作者： Kei-Lin kuo Department of Vehicle Engineering National Taip ei University of Technology

The applications of ultrasonic vibrations for material removal processes exist predominantly in the area of vertical processing of hard and brittle materials. This is because the power generated by vertical vibrating oscillators generates the greatest direct penetration, in order to conduct material removal on workpieces by grains. However, for milling processes, vertical vibrating power has to be transformed into lateral (horizontal) vibration to produce the required horizontal cutting force. The objective of this study is to make use of ultrasonic lateral transformation theory to optimize processing efficiency, through the use of the finite element method for design and analysis of the milling tool. In addition, changes can be made to the existing vibrating system to generate best performance under consistent conditions, namely, using the same piezoelectric ceramics.

关键词：超声振动系统分析工具设计有限元分析方法超声波振动材料去除垂直振动硬脆材料

A Class of Normal Weighted Composition Operators on the Fock Space of C^n

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Acta Mathematica Sinica,English Series 2015年第11期31卷 1789-1797页

作者： Lian kuo ZHAO School of Mathematics and Computer Science Shanxi Normal University

This paper characterizes a class of normal weighted composition operators and their spectrum on the Fock space of Cn.

关键词： Fock space weighted composition operator normal spectrum