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APPROXIMATE SOLUTIONS OF SCHRÖDINGER EQUATION WITH A QUARTIC POTENTIAL

  • Jung, Soon-Mo;Kim, Byungbae
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.157-164
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    • 2021
  • Recently we investigated a type of Hyers-Ulam stability of the Schrödinger equation with the symmetric parabolic wall potential that efficiently describes the quantum harmonic oscillations. In this paper we study a type of Hyers-Ulam stability of the Schrödinger equation when the potential barrier is a quartic wall in the solid crystal models.

A FIXED POINT THEOREM ON SOME MULTI-VALUED MAPS IN MODULAR SPACES

  • Fouad, Ouzine;Radouane, Azennar;Driss, Mentagui
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.3
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    • pp.641-648
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    • 2022
  • Fixed point theory has been a flourishing area of mathematical research for decades, because of its many diverse applications. In this paper, we present a fixed point theorem for s - 𝜌-contractive type multi-valued mappings in modular spaces which will generalize some old results.

ON α-GERAGHTY CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES

  • Duangkamon Kitkuan;Anantachai Padcharoen;Jong Kyu Kim;Won Hee Lim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.1
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    • pp.295-309
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    • 2023
  • In this paper, we introduce the notion of α-Geraghty contractive type covariant and contravariant mappings in the bipolar metric spaces. In addition, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-Geraghty contractive type covariant and contravariant mappings in complete bipolar metric spaces. Finally, we show some examples to support our main results.

CONVERGENCE THEOREMS OF MIXED TYPE IMPLICIT ITERATION FOR NONLINEAR MAPPINGS IN CONVEX METRIC SPACES

  • Kyung Soo, Kim
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.903-920
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    • 2022
  • In this paper, we propose and study an implicit iteration process for a finite family of total asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in the intermediate sense in convex metric spaces and establish some strong convergence results. Also, we give some applications of our result in the setting of convex metric spaces. The results of this paper are generalizations, extensions and improvements of several corresponding results.

A Research Relative to the Subjective View on the Occupational Consciousness of the Dental Coordinator (Dental Coordinator의 직업의식에 관한 주관성 연구)

  • Han, Gyeong-Soon
    • Journal of Korean society of Dental Hygiene
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    • v.2 no.1
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    • pp.97-113
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    • 2002
  • This research is an attempt to establish a basic material in discovering the subjective types of the dental coordinators occupational consciousness, utilizing the Q-Method Theory, which is capable of measuring the subjective nature of human being by scientific and systematic method. The characteristics of each type were analyzed so as to have the dental coordinator to possess the desirable understanding of the occupational view together for them to have self-confidence as a lifetime specialty occupation. Upon completion of the study, it was found that there are three types of subjective views pertaining to the occupational consciousness on the dental coordinator. The result on the analysis of the characteristics is as follows : Type 1 is the Taking Serious View on the Patient Service, which priority is placed on kindness and looking after any difficulties of the patient, namely, it is the type that puts the importance on the high level medical examination and treatment based on good service. Because of the kind service to the patient, those under this category considered their job satisfaction have been improved. It goes without saying that they were developing the services, which satisfy themselves, and it was confirmed that they thought that they should make things smooth for any development of problems that may arise between the patient and the dentist. Type 2 is the Taking Serious View on Career and Organizational Strength. This is a type that aims on the systematic nature of the internal job, namely, organizational strength itself viewed from the stand point thai either self-confident or work merit is proportional to experience. This type is to actively treat the problem and endeavor to solve the issue when dissatisfaction is held by the dental hospital system, which is either followed according to the work responsibility or by an organization having an appropriate system on remuneration, Type 3 is the Placing of Importance on the Overall Circumstances. This is the type that places importance on the overall now of the dental hospital, and it is the type, that most greatly recognizes the importance of the role of the dental coordinator. The dental coordinator should provide the sense of reliability to both the dentist and to the staff of the medical examination and treatment and should be able to adjust smoothly the overall now of the medical treatment. The dental coordinator is expected to be a medical service specialist, who is capable to solve the problems of the staff of the medical treatment intuitively and to adjust the relation between the employees. With the above result, it was found that although there was no mutual exclusiveness between the respective types, there are particular characteristics among each type. Therefore, this research has discovered and analyzed the subjective view types relative to the occupational consciousness of the dental coordinator for the proper understanding on the characteristics of each type to enable the dental sanitary students and the graduates of the Dental Sanitary Department, who are aspiring to become dental coordinator, as the basic guide material to be actively utilized.

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A Study on the Planning Characteristics of Contemporary Japanese Middle School Architecture (현대 일본 중학교 건축의 계획특성에 관한 연구)

  • Lee, Jeong-Woo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.3
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    • pp.668-676
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    • 2016
  • This study reviewed the planning characteristics of contemporary Japanese middle school architecture on which related studies are insufficient, aiming to obtain new ideas for planning Korean middle school facilities. Fourteen case schools built after 1990s were selected and analyzed. They were divided into learning-living space and other major spaces. The planning characteristics of the case schools are summarized as follows 1) The case schools were classified into two categories, departmentalized classroom type (D type) and usual with variation type (UV type) by school system. These categories can also be the classification standard for basic architectural characteristics in learning and living space of case schools. 2) D type case schools have departmentalized classrooms, home base, media space and teacher's space for learning-living space. D type case schools are divided into 'attached-to-classroom type' and 'separate type' depending on the adjacency of the home base and departmentalized classroom. 3) UV type case schools have multipurpose space around the classroom for learning-living space and can be divided into two types, i.e., 'directly adjacent' and 'separate', depending on the connectivity to classroom of multipurpose room. 4) Specialized classrooms are designed to have the openness to the public and the own characteristics of school subjects strengthened and show the spatial differentiation with connected ancillary spaces. 5) Libraries are designed as complex zones grouped with computer labs, audio visual rooms and multipurpose halls not as a single room and as open plan not with a closed wall. 6) The gymnasium is the basic sports facility with a martial arts room and outdoor pool, which are for after-school activities as well as physical education class. 7) The terrace, balcony and outdoor stairs are frequently used architectural vocabularies as diverse outdoor spaces with a variety of functions.

Research on development plan of medium and long period of Vocational Education for Chungbuk (충청북도 직업교육 중·장기발전 방안)

  • Oh, SeongKyeun;Uh, SangHo;Eun, TaeWook;Kim, JinKyun;Kim, JinSoo
    • 대한공업교육학회지
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    • v.31 no.1
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    • pp.146-169
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    • 2006
  • 'VEC 2010' is a mid-long term scheme on the development of Vocational Education for Chung-buk which is to be accomplished by 2010. On the basis of this scheme, schools adopt 3-Type curriculum considering their conditions and covert themselves into specialized high school which is associated with local industry cluster. They also establish combined high schools which run various curriculums emphasizing basic vocational abilities so that they can meet the needs of demanders The activation plan of Chung-buk province vocational education is a dualized one which is for both ongoing education for entrance into a school of higher grade and the last education for employment, which is supposed to foster the human resources required by the knowledge-based society in the 21st century. The specific contents of 'VEC 2010' is as follows. First, VEC 2010 presents 2 kinds of mid-long term management system for industrial high schools: general industrial high school, specialized high school(single type, combined type). Second, VEC 2010 arranges and run the 3-Type of curriculum of Chung-buk province industrial high schools: employment-centered type, entering higher school-centered type, inaugurating enterprise-centered type. Third, VEC 2010 divides Chung-buk province industrial high schools into 4 districts and suggests mid-long term reorganization plan of system. Fourth, VEC 2010 suggests the substantial strategies of Chung-buk province vocational education: scholarship improvement in the vocational investigation course of the government-sponsored scholastic aptitude test, education for improving basic vocational abilities, substantial management of joint laboratory, administrative and financial support of development of specialized, licensed textbooks. reenforcement of career education.