• Title/Summary/Keyword: local uniqueness

Search Result 86, Processing Time 0.033 seconds

EXISTENCE UNIQUENESS AND STABILITY OF NONLOCAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSES AND POISSON JUMPS

  • CHALISHAJAR, DIMPLEKUMAR;RAMKUMAR, K.;RAVIKUMAR, K.;COX, EOFF
    • Journal of Applied and Pure Mathematics
    • /
    • v.4 no.3_4
    • /
    • pp.107-122
    • /
    • 2022
  • This manuscript aims to investigate the existence, uniqueness, and stability of non-local random impulsive neutral stochastic differential time delay equations (NRINSDEs) with Poisson jumps. First, we prove the existence of mild solutions to this equation using the Banach fixed point theorem. Next, we demonstrate the stability via continuous dependence initial value. Our study extends the work of Wang, and Wu [16] where the time delay is addressed by the prescribed phase space 𝓑 (defined in Section 3). To illustrate the theory, we also provide an example of our methods. Using our results, one could investigate the controllability of random impulsive neutral stochastic differential equations with finite/infinite states. Moreover, one could extend this study to analyze the controllability of fractional-order of NRINSDEs with Poisson jumps as well.

A STUDY ON INVARIANT REGIONS, EXISTENCE AND UNIQUENESS OF THE GLOBAL SOLUTION FOR TRIDIAGONAL REACTION-DIFFUSION SYSTEMS

  • IQBAL M. BATIHA;NABILA BARROUK;ADEL OUANNAS;ABDULKARIM FARAH
    • Journal of applied mathematics & informatics
    • /
    • v.41 no.4
    • /
    • pp.893-906
    • /
    • 2023
  • In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 3 reaction-diffusion systems with the total mass of the components with time. We also suppose that the nonlinear reaction term has a critical growth with respect to the gradient. The technique that we used to prove the global existence is the method of the compact semigroup.

A Report on Utilizing Local Food as Tourism Resource of Northern Gyong-gi Province (경기 북부지역의 관광자원으로서 향토음식에 대한 고찰)

  • 남정혜;최태호
    • The Korean Journal of Food And Nutrition
    • /
    • v.14 no.5
    • /
    • pp.479-484
    • /
    • 2001
  • Gyong-gi province has been the political, social, economical center of Korea since the three Kingdom period, Koryo, Chosun dynasty. As a result, the area enjoys abundant local food culture. However, due to the truce line going through the province, it was divided into northern and southern region. Development of the northern Gyong-gi province has been restricted because of security and defence reasons. So, even though it has kept abundant local food heritage compared to other regions. local food products have not been fully developed. Furthermore, as bed towns of Seoul and new towns are constructed in this region, traditional and local culture has been vanished gradually and the regional uniqueness is disappearing. This report focuses on identifying unique local foods of northern Gyong-gj province where tourist site development is limited and finding out how to utilize these as international tourism resource in the 21$\^$th/ century, the era of reunified Korea. Now, we need to seek ways to overcome the current difficulties and utilize the heritage of food culture and develop It in a form that suits the taste of modern consumers.

  • PDF

A Study on Design Approach for the Localization -Focused on Theme Park (지역특성화를 위한 디자인적 접근방안 -테마공원을 중심으로-)

  • 박노석;정지원;이규백
    • Archives of design research
    • /
    • v.13 no.1
    • /
    • pp.39-47
    • /
    • 2000
  • Industrialization and Urbanization have given rise to ill effects in areas sudl as standardization and simplification. As a result, eadl area has developed abnormally losing its own uniqueness. During globalization and localization in country, the diverse economic cultural activities adopting the area,s uniqueness are the starting point for development and widening its identity. Excavating and developing local cultural industries are urgent considering the importance of economic profits not having environmental problems. Factors identifying an area's characteristics may be dassified as formation works of urban identity, landscape design. cultural industry, developing local areas, etc. This study was a concrete approadl to compose and analyze domestic and foreign cases factors. For practical analysis and application on the Ulsan,s characteristics from a design point of view, way of local development and cultural industry in Ulsan have been researdled.

  • PDF

Finger Vein Recognition Based on Multi-Orientation Weighted Symmetric Local Graph Structure

  • Dong, Song;Yang, Jucheng;Chen, Yarui;Wang, Chao;Zhang, Xiaoyuan;Park, Dong Sun
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.9 no.10
    • /
    • pp.4126-4142
    • /
    • 2015
  • Finger vein recognition is a biometric technology using finger veins to authenticate a person, and due to its high degree of uniqueness, liveness, and safety, it is widely used. The traditional Symmetric Local Graph Structure (SLGS) method only considers the relationship between the image pixels as a dominating set, and uses the relevant theories to tap image features. In order to better extract finger vein features, taking into account location information and direction information between the pixels of the image, this paper presents a novel finger vein feature extraction method, Multi-Orientation Weighted Symmetric Local Graph Structure (MOW-SLGS), which assigns weight to each edge according to the positional relationship between the edge and the target pixel. In addition, we use the Extreme Learning Machine (ELM) classifier to train and classify the vein feature extracted by the MOW-SLGS method. Experiments show that the proposed method has better performance than traditional methods.

A Study about Assessment on Operation Program of Local Festivals (향토지역축제 운영프로그램 평가에 관한 연구)

  • Lee, Hee-Koung;Ahn, Deug-Soo
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.103-112
    • /
    • 2012
  • This study aims at assessment of local festivals focused on analysis of operation program for local festivals held in Jeonbuk province. The subjects were 65 local festivals held in Jeonbuk in 2010 excluding festivals held in province, county, and town level, and those held with single purpose. Type of festivals were classified to type for residents' unity, tourism, industry, and special purpose type. The portion was industry type 36.9%, type for residents' unity 23.1% in the order. By theme, animal, plant, nature phenomenon, history, culture and tradition, special product, regional industry were classified - the portion was special product 36.9%, culture and tradition 24.6%, history 13.8%. Assessment of operation program was conducted with assessment indexes such as compliance with theme, uniqueness, diversity, effect of experience, size, educational effect, and entertainment. As a result, it appeared that because local festivals of Jeonbuk had high uniqueness, duplication of program between local festivals was very low and educational effect was comparatively high. On the other hand, because entertainment and effect of experience was very low, considerations of entertainment and effect of experience are necessary in planning of program.

Planning Directions of Community Facilities Integrating Generations based on Local Communities

  • Jae Hee CHUNG;Ji Min KIM;Su Jin LEE;Sung Ze YI
    • The Journal of Economics, Marketing and Management
    • /
    • v.12 no.1
    • /
    • pp.39-51
    • /
    • 2024
  • Purpose: This study aims to derive planning directions of community facilities integrating generations based on local communities to promote sustainable intergenerational exchange by analyzing the spatial configuration and programs of domestic and foreign generation-integrated community facilities based on local communities. Research design, data and methodology: Through theoretical consideration, the concept of intergenerational integration, types of intergenerational exchange, and spatial arrangement types were identified. Then, case study analysis of domestic and foreign community facilities with well-planned intergenerational exchange spaces and programs were conducted to identify intergenerational integration, and to derive community facility planning direction. Results: The results of this research are as follows. First, in terms of humanware, in order to revitalize continuous exchange between the 1st, 2nd, and 3rd generations, a systematic support system is needed to build mutual trust through voluntary participation by each generation. Second, it is important to provide a variety of shared spaces while maintaining the uniqueness of each facility from a hardware perspective, and must be planned in such a way that selective interaction takes place with privacy and interaction in mind. Third, in terms of software, programs that meet the characteristics of each user must be provided. Conclusions: It is expected that the results of this research can be used as basic data for planning community facilities that integrate generations based on local communities, contributing to the search for sustainable ways to revitalize intergenerational exchange in the future.

ON CLASSICAL SOLUTIONS AND THE CLASSICAL LIMIT OF THE VLASOV-DARWIN SYSTEM

  • Li, Xiuting;Sun, Jiamu
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.5
    • /
    • pp.1599-1619
    • /
    • 2018
  • In this paper we study the initial value problem of the non-relativistic Vlasov-Darwin system with generalized variables (VDG). We first prove local existence and uniqueness of a nonnegative classical solution to VDG in three space variables, and establish the blow-up criterion. Then we show that it converges to the well-known Vlasov-Poisson system when the light velocity c tends to infinity in a pointwise sense.

ON MINIMAL SURFACES WITH GAUSSIAN CURVATURE OF BIANCHI SURFACE TYPE

  • Min, Sung-Hong
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.34 no.4
    • /
    • pp.379-385
    • /
    • 2021
  • We consider the local uniqueness of a catenoid under the condition for the Gaussian curvature analogous to Bianchi surfaces. More precisely, if a nonplanar minimal surface in ℝ3 has the Gaussian curvature $K={\frac{1}{(U(u)+V(v))^2}}$ for any functions U(u) and V (v) with respect to a line of curvature coordinate system (u, v), then it is part of a catenoid. To do this, we use the relation between a conformal line of curvature coordinate system and a Chebyshev coordinate system.

NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES

  • Pak, Hee Chul;Chang, Sang-Hoon
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.23 no.4
    • /
    • pp.773-784
    • /
    • 2010
  • The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: $$\frac{\partial}{{\partial}t}u-{\Delta}u=F(u)$$ is investigated. In particular, it is proved the local existence and blow-up phenomena of the solutions in Besov spaces for nonlinear heat equations corresponding to two transcendental nonlinear functions $F(u){\equiv}{\mid}u{\mid}e^{u^2}$ and $F(u){\equiv}e^u$ of rapid growth.