• Title/Summary/Keyword: Positive Function

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MULTIPLICITY OF POSITIVE SOLUTIONS TO SCHRÖDINGER-TYPE POSITONE PROBLEMS

  • Ko, Eunkyung
    • East Asian mathematical journal
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    • v.38 no.1
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    • pp.13-20
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    • 2022
  • We establish multiplicity results for positive solutions to the Schrödinger-type singular positone problem: -∆u + V (x)u = λf(u) in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝN, N > 2, λ is a positive parameter, V ∈ L(Ω) and f : [0, ∞) → (0, ∞) is a continuous function. In particular, when f is sublinear at infinity we discuss the existence of at least three positive solutions for a certain range of λ. The proofs are mainly based on the sub- and supersolution method.

The Impacts of Positive Festival Memory on Traveler's Experience Sharing: An Online Friendship Moderation Model

  • Kim, Hyeon-Cheol;Zhu, Zong-Yi
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.4
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    • pp.176-184
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    • 2021
  • This study aims to examine 1) the influence of festival emotional and function values on travelers' positive festival memory, festival attachment, and experience sharing behavior, and (2) the moderation effect of online friendship among the path. In the present study, the proposed model was developed based on the MTS from 340 collected participants who have experienced the festival held in Guangdong Province in China. The SPSS and AMOS were used for statistical analysis. The results revealed that emotional and function festival values are positively related to the positive festival memory of travelers; positive festival memory significantly influences festival attachment and experience sharing behavior of travelers. Meanwhile, festival attachment also has a significantly positive effect on the experience-sharing behavior of travelers. Moreover, the presented differential experience sharing behavior of travelers follows the level of their online friendship. Travelers with high online friendships presented higher sharing behavior than travelers with low online friendships. Depending on the results of this study, we could provide some theoretical implications for future festival research and online communication research. These results could provide some practical implications for festival managers to develop more communication strategies.

GRADIENT PROJECTION METHODS FOR THE n-COUPLING PROBLEM

  • Kum, Sangho;Yun, Sangwoon
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1001-1016
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    • 2019
  • We are concerned with optimization methods for the $L^2$-Wasserstein least squares problem of Gaussian measures (alternatively the n-coupling problem). Based on its equivalent form on the convex cone of positive definite matrices of fixed size and the strict convexity of the variance function, we are able to present an implementable (accelerated) gradient method for finding the unique minimizer. Its global convergence rate analysis is provided according to the derived upper bound of Lipschitz constants of the gradient function.

APPROXIMATE IDENTITY OF CONVOLUTION BANACH ALGEBRAS

  • Han, Hyuk
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.4
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    • pp.497-504
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    • 2020
  • A weight ω on the positive half real line [0, ∞) is a positive continuous function such that ω(s + t) ≤ ω(s)ω(t), for all s, t ∈ [0, ∞), and ω(0) = 1. The weighted convolution Banach algebra L1(ω) is the algebra of all equivalence classes of Lebesgue measurable functions f such that ‖f‖ = ∫0∞|f(t)|ω(t)dt < ∞, under pointwise addition, scalar multiplication of functions, and the convolution product (f ⁎ g)(t) = ∫0t f(t - s)g(s)ds. We give a sufficient condition on a weight function ω(t) in order that L1(ω) has a bounded approximate identity.

ON THE ASYMPTOTIC CONVERGENCE OF ORTHONORMAL CARDINAL REFINABLE FUNCTIONS

  • Kim, Rae-Young
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.3
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    • pp.133-137
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    • 2008
  • We prove an extended version of asymptotic behavior of the orthonormal cardinal refinable functions from Blaschke products introduced by Contronei et al [2]. In fact, we show the orthonormal cardinal refinable function ${\varphi}_{k,q}$ converges in $L^p(\mathbb{R})$ ($2{\leq}p{\leq}{\infty}$) to the Shannon refinable function as ${\kappa}{\rightarrow}{\infty}$ uniforml on a class $\mathcal{Q}_{A,B}$ of real symmetric polynomials determined by positive constants $A{\leq}B$.

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The Effect of Family Function and Satisfaction with Life on Positive Attitude of College Students (가족기능과 삶의 만족도가 대학생의 긍정적 태도에 미치는 영향)

  • Park, Se-Jeong
    • The Journal of the Korea Contents Association
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    • v.20 no.5
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    • pp.389-397
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    • 2020
  • This study analyzed 308 college students to identify how family function and satisfaction with life is related to the positive attitude of college students. SPSS Win 18.0 program was used to perform ANOVA and Hierarchical Regression Analysis. As a result, first, older students had more positive attitude compare to the younger students. Secondly, among family functions, when the family cohesion was stronger, the diversification of perspective, self acception, and social adjustment was stronger, and it was identified that the diversification of perspective, self acception, and self control was higher when the family adaptability was greater. Thirdly, when the satisfaction level of life was higher, the positive attitude was high as well. Fourth, the higher the life satisfaction, the higher the positive attitude, except for self-control, all the sub-factors.

A Study on the Remnant Forms and Effects of Big Trees in an Urban Area (도시역 거수목의 잔존형태와 그 효용성에 관한 연구)

  • 김용수;임원현
    • Journal of the Korean Institute of Landscape Architecture
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    • v.24 no.3
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    • pp.14-28
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    • 1996
  • Purposes of this study were to provide the basic information for the management policy for more preserve and refreshing Gusumok-big and old tree. Fundamental directions for the protection and application of Gusumok were suggested by comparing and analyzing present conditions and remnant forms of Gusumok as preserved tree in Kyung-ju and its function and the role of Gusumok according to the civilization and diference between past and present. The main results of the study are as follows ; There are 121 Gusumok which designated as a preserved tree in Kyung-ju. It is distributed all over the Kyung-ju city uniformly and located in the enterance or the center of a village having high interests of most of residents. in the course of a civilzation, the percintage of a loss of an urban Gusumok is higher than that of a rural Gusumok and its function is also changed so much. A modern function of Gusumok can be divided into a positive and negative one. A positive function is the offer of amenity and the place of receation, formation of culture and ragulation of micro climate. A negative function is of psycholosical and functional reversed function. having a close relation with our life, Gusumok offers an amenity place to our life to make us feel soft and comfortable as well as developes the quality of our life. Gusumok has an important meaning in mordern society in that it contibutes to our village being better to live by having a historical meaning and creating a symbolic culture and history.

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The Relationship between The Psychosocial Characteristics, Family Function, and Activities of Daily Living in the Elderly Females (경로당 여성노인의 심리사회적 특성과 가족기능 및 일상생활수행능력간의 관계)

  • Yoo, Jang-Hak;Chu, Su-Kyung;Ban, Keum-Ok
    • Journal of Korean Public Health Nursing
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    • v.23 no.1
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    • pp.40-49
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    • 2009
  • Purpose: To investigate the relationships among stress, depression, family function, and activities of daily living in elderly females. Methods: Using a descriptive correlation for the study design, data was collected from 134 elderly females older than 60 years of age. Result: The level of depression among the subjects was 6.04($\pm5.30$) and level of stress was 1.62($\pm.70$). The performance capacity of the activities of daily living was 17.79($\pm0.87$), and the instrumental activities of daily living was 22.33($\pm2.66$). The family function was 2.82($\pm3.47$). Depression and stress showed a positive correlation(p<.001) and had a negative correlation with family function(p=.025), as the correlation with instrumental activities of daily living was negatively related(p=.008). Stress had a positive relationship with family function(p<.001). and was negatively related to instrumental activities of daily living (p=.041). Conclusion: For health promotion of elderly females, it is critical to make an effort to establish and constantly develop a program, as well as policy for the health of the elderly considering and understanding gender differences.