• 제목/요약/키워드: uniqueness of solution

검색결과 230건 처리시간 0.022초

STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Diop, Mamadou Abdoul;Ezzinbi, Khalil;Lo, Modou
    • 대한수학회지
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    • 제56권1호
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    • pp.149-167
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    • 2019
  • In this work, we study the existence, uniqueness and stability in the ${\alpha}$-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a $H{\ddot{o}}lder$ type condition with respect to the ${\alpha}$-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

20세기 전반기 회화와 한국적 요소를 응용한 의상디자인 연구 -캐쥬얼 웨어를 중심으로- (A Study on Fashion Design Applied Early 20th Century Art and Korean Factor-focusing on Casual Wear-)

  • 전현경;송미령
    • 복식문화연구
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    • 제9권3호
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    • pp.511-522
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    • 2001
  • Various art trends of the 20th century that contributed to the creation and development of abstract art had showed the transition from the convention of mere representation of the object to the formative sensitivity emphasizing self-expression. Noticing that such trends had influenced the fashion industry to move toward a free and individualized style, this study attempts to express the formative way from the existing art to wear, especially, based on early 20th century paintings, 5 casual wears were made which applied korean materials and silhouettes that are functional, sample and show traditional korea beauty. The purpose of this study is to search for a solution to expand the world market by producing dresses utilizing our own tradition that can be distinguished in the global market and that derive inspiration from the formative of the sensitivity of the paintings during the first half of the 20th century. It also aims to let national economy as a high-added industry. The result of this study are as follows: First, the expression method and element of various styles of art such as Fauvism, Expressionism and Cubism, during the period of transition to abstract art, clearly presented the direction toward the artistic liberation and made possible a new formative artistic expression of dress in the early years of the 20th century. Their ideas inspired the dress designers of the time with a reformative and creative sense of fashion and have greatly contributed to the development of a new era of uniqueness and individuality. Second, the color and the simplicity of form of the early 20th century paintings are suitable fro utilizing a motive of functional dresses and express unique and concise modern beauty. Third, it was confirmed that utilizing our tradition in contemporary dress can be a significant method of creation in which the uniqueness and creativity of Korean dress can be expressed, distinguishing it on the global scene, as well as inspire the originality and pride of our culture. Fourth, a possibility has been discovered. It is the functionality and uniqueness of aesthetic expression technique of the contemporary arts that can contribute to the fashion of tomorrow, by searching a modern fashion which was affected by the past and also by taking a look at the trend of modern fashion as the same field as casula wear.

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2차원 자유표면파 문제에서의 국소 유한요소법의 응용 (An Application of the Localized Finite Element Method to Two-dimensional Free Surface Wave Problems)

  • 길현권;배광준
    • 대한조선학회지
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    • 제22권3호
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    • pp.9-18
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    • 1985
  • The numerical calculation for solving boundary-value problem related to potential flows with a free surface is carried out by application of the localized finite element method. Only forced motion of 2-D body in infinitely deep fluid is considered, although this schemes is equally applicable to any first order time-harmonic problems of similar nature. The infinite domain of the fluid is separated into the inner flow field and the outer flow field with common inter-surface boundary. The finite element method is applied to obtain the solution in the inner flow field and the Green functions are utilized to represent the solution in the outer flow field. At the inter-surface boundary, the continuity of the value of potential and the normal derivative of the potential(i.e. matching condition) is conserved. The present method has better computational efficiency than the previous LFEM and the integral equation method of Frank. This enhanced computational efficiency is presumably due to the fact that the present method gives a symmetric coefficient matrix and requires less computational time in calculating the influence coefficient matrix of Green function than the integral equation method. And the irregular frequency desen't exist because the uniqueness of the solution is assured by the such that the exact free surface condition is satisfied on the boundary of the localized finite element region(i.e. inner region). As an example of the above method, the hydrodynamic forces for the circular cylinder and the rectangular cylinders are calculated. In the computed results, the small number of singularity distribution segments($3{\sim}6$) give good result relative to Ursell's and Vugts'.

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INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass;Ojen K. Narain;Olayinka M. Onifade
    • Nonlinear Functional Analysis and Applications
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    • 제28권2호
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    • pp.497-520
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    • 2023
  • Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

Tradeoff between Energy-Efficiency and Spectral-Efficiency by Cooperative Rate Splitting

  • Yang, Chungang;Yue, Jian;Sheng, Min;Li, Jiandong
    • Journal of Communications and Networks
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    • 제16권2호
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    • pp.121-129
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    • 2014
  • The trend of an increasing demand for a high-quality user experience, coupled with a shortage of radio resources, has necessitated more advanced wireless techniques to cooperatively achieve the required quality-of-experience enhancement. In this study, we investigate the critical problem of rate splitting in heterogeneous cellular networks, where concurrent transmission, for instance, the coordinated multipoint transmission and reception of LTE-A systems, shows promise for improvement of network-wide capacity and the user experience. Unlike most current studies, which only deal with spectral efficiency enhancement, we implement an optimal rate splitting strategy to improve both spectral efficiency and energy efficiency by exploring and exploiting cooperation diversity. First, we introduce the motivation for our proposed algorithm, and then employ the typical cooperative bargaining game to formulate the problem. Next, we derive the best response function by analyzing the dual problem of the defined primal problem. The existence and uniqueness of the proposed cooperative bargaining equilibrium are proved, and more importantly, a distributed algorithm is designed to approach the optimal unique solution under mild conditions. Finally, numerical results show a performance improvement for our proposed distributed cooperative rate splitting algorithm.

관계성 측면에서 본 경복궁의 미학특성 분석 (An Analysis of Aesthetic Characteristics of Gyeongbokgung from a Viewpoint of Relationship)

  • 연태경;이연숙
    • 한국실내디자인학회논문집
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    • 제38호
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    • pp.38-47
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    • 2003
  • This study is one of studies which refer aesthetic characteristics and relationship about Korean traditional architecture. In this rapidly changing society, it is worthy to recognize our traditional aesthetics from which we may get a solution for improving our surrounding. The major purpose of this study was to present a holistic framework to understand aesthetics of Korean traditional architecture in a viewpoint of relationship. As a secondary purpose with this framework, Gyeongbokgung which is one of Korean traditional palaces in Chosen dynasty was analyzed and appropriate case example images were gained. Through this process, the framework could get better capability to persuade relativity of this study by showing relevant example. Through the purpose, the uniqueness of this study were like following; First, it referred a word 'relationship' clearly and exposed it to a systematic framework. Second, it referred space characteristics and aesthetics characteristics of Korean traditional architecture synthetically comparing with that other literatures referred the characteristics partially focused on their interests. Third, many literatures showed the characteristics partially by some case examples and photos but, it showed a complete case example and appropriate photos to endow persuasive power for understanding the framework.

한자음으로 일본어 사전을 검색하는 방법(독음입력법) (Japanese Dictionary Input System in Korean Traditional Reading Rule of Chinese Character)

  • 정철
    • 한국정보과학회 언어공학연구회:학술대회논문집(한글 및 한국어 정보처리)
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    • 한국정보과학회언어공학연구회 2005년도 제17회 한글 및 한국어 정보처리 학술대회
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    • pp.139-144
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    • 2005
  • When a Japanese learner in Korea tries to find Japanese dictionary, he must know the pronunciation of the target word. But it's not easy to know the pronunciation of target word from Japanese sentence. Because most of general Japanese sentence shows only HanJa(Chinese character) instead of Kana(Japanese alphabet). If the Japanese learner knows the Korean traditional pronunciation of the target word, he can input the word to electronic Japanese dictionary with the Korean pronunciation. For this solution, the dictionary service provider must convert the Japanese word to Korean pronunciation, in advance. After setting of the conversions as a additional searching process, we can find the target word through Korean pronunciation of the Japanese HanJa, This process is possible for the three reasons below, 1. Korean, Japanese and Chinese are using the nearly same HanJa. The difference is small. 2. Most Japanese learner in Korea, knows the Korean pronunciation of the HanJa. 3. The Korean pronunciation of the HanJa is nearly unique, a HanJa has a Korean pronunciation, generally.

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대한민국 법제에 있어서 농촌지역재난의 법리성 분석 (Analysis of Principle of Law of the Disaster of Rural Region in Korea Legislation)

  • Park, Sungje;Lee, YoungKune;Ryu, Sisaeng
    • 한국재난정보학회 논문집
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    • 제11권3호
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    • pp.413-420
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    • 2015
  • 본 연구에서는 농촌지역의 재난에 대한 우리나라 법제 현황을 분석하고 문제점을 파악하고자 하였다. 농촌지역은 지역의 특수성과 고유성이 도시와 비교하여 현저함에도 불구하고 선거전략의 일환으로 지역을 구분하는 등 제도적으로 고려받지 못한 점이 많다. 본 연구를 통하여 농촌지역의 재난에 보다 효과적이고 능동적으로 대처할 수 있는 문제를 농촌지역개발을 키워드로 분석하고, 법제도의 문제점과 그 해결책을 모색하였다.

이상 유동 이론에서의 평면 변형 벤딩 (Plane-strain bending based on ideal flow theory)

  • ;이원오;정관수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2004년도 춘계학술대회 논문집
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    • pp.233-236
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    • 2004
  • The major objective of this paper is to clarify the effect of constitutive laws on bulk forming design based on the ideal flow theory. The latter theory is in general applicable for perfectly/plastic materials. However, its kinematics equations constitute a closed-form system, which are valid for any incompressible materials, therefore enabling us to extend design solutions based on the perfectly/plastic constitutive law to more realistic laws with rate sensitive hardening behavior. In the present paper, several constitutive laws commonly accepted for the modeling of cold and hot metal forming processes are considered and the effect of these laws on one particular plane-strain design is demonstrated. The closed form solution obtained describes a non-trivial nonsteady ideal process. The design solutions based on the ideal flow theory are not unique. To achieve the uniqueness, the criterion that the plastic work required to deform the initial shape of a given class of shapes into a prescribed final shape attains its minimum is adopted. Comparison with a non-ideal process is also made.

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STELLAR POPULATIONS IN EXTERNAL GALAXIES

  • Whang, Yun-Oh;Lee, Sang-Gak
    • 천문학회지
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    • 제22권1호
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    • pp.1-24
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    • 1989
  • By applying population synthesis method, stellar populations in the nuclei of M31 and M32 are studied. We obtained five and four models for M31 and M32 respectively, for different main sequence turn-offs and keeping the astrophysical constraints as loose as possible. The best models for M31 and M32 are thought to have G0-5 and F5-8 main sequence trun-offs respectively. These models show that the main sequence stars outnumber the giants, which indicates the dwarf-dominance in external galactic nuclei. Even though there are some computational difficulties because of non-uniqueness in solution, two major points can be pointed out when compared to the previous papers. First, the ultraviolet deficiency expected from the conventional metal rich population models is not detected in our models, Instead ultraviolet radiation turns out to be somewhat higher than that of observation. Second one is the minor contribution from the Super Metal Rich (SMR) K giants to the integrated light of the program galaxies. That is, in our models, the SMR contribution is at best the same level as normal giants contrary to the SMR dominance of previous models. Since the loose astrophysical constraints are the major difference of our study from the previous ones, one should re-examine carefully for their validity further.

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