• Title/Summary/Keyword: Time Scales

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ALMOST PERIODIC SOLUTION FOR A n-SPECIES COMPETITION MODEL WITH FEEDBACK CONTROLS ON TIME SCALES

  • Li, Yongkun;Han, Xiaofang
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.247-262
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    • 2013
  • In this paper, using the time scale calculus theory, we first discuss the permanence of a $n$-species competition system with feedback control on time scales. Based on the permanence result, by the Lyapunov functional method, we establish sufficient conditions for the existence and uniformly asymptotical stability of almost periodic solutions of the considered model. The results of this paper is completely new. An example is employed to show the feasibility of our main result.

Self. Actualization of College of Nursing Students Resulting from Psychiatric Nursing Practice (정신과 간호실습 과정과 자기실현에 관한 연구)

  • 이광자
    • Journal of Korean Academy of Nursing
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    • v.6 no.1
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    • pp.29-40
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    • 1976
  • This study attempted to measure personality changes in collegiate nursing students as a result of their psychiatric nursing practice. The study population consisted of 310 students in 8 colleges of nursing in Korea, 96 with psychiatric practice, 103 with other clinical practice and III without clinical practice experience. The objectives of the study were to identify: 1. The self-actualization scores of nursing students resulting from psychiatric nursing practice. 2. The self-actualization scores of nursing students resulting from other clinical nursing practice. 3. The difference between scores for students with clinical practice experience and those without experience. 4. The relevance between self-actualization and sibling order. 5. The relevance between self- actualization and religion. 6. The coefficiently scores for students before and after clinical practice. The instrument used was the Personal Orientation Inventory (POI), developed by Shostrom. It provides a measure of values and behavior which are thought to be of importance in the development of self- actualization. The main findings of the study were as follows: 1. There was a significant difference in the Time Competence, Self Regard, and Nature of Man scales resulting from psychiatric nursing practice. 2. There was a significant difference in the Inner Directed, Existentialist, Feeling Reactivity, Spontaneity, Nature of Man and Capacity for Intimate Contact scales resulting from other clinical nursing practice. 3. There was a significant difference in the Inner Directed, Feeling Reactivity, Spontaneity, Self- Regard and Capacity for Intimate Contact scales between students with clinical practice and those without practice. 4. There was a significant difference in the Self-Acceptance scale for both the eldest and the youngest siblings. 5. There was a significant difference in the Time Competence, Inner Directed, Existentialist, Self-Acceptance and Capacity for Intimate Contact scales for middle and youngest siblings, 6. There was a significant difference in the Existentialist scale between students with a religion and those without one. 7. There was a significant difference for students without a religion in the Time Competence, Inner Directed, Self-Regard, Nature of Man, and Capacity for Intimate Contact scales after clinical practice. 8. There was a significant difference for students, with a religion in the Inner Directed, Existentialist, Spontaneity, and Nature of Man scales after clinical practice. 9. There was a significant difference for students in the Self- Actualizing value, Spontaneity, Nature of Man and Synergy scales according to whether their parents had a religion or not. 10. Before and after practice, significantly different correlations were found between the Time Competence and Capacity for Intimate Contact scales : the Inner Directed and Existentialist scales ; the Self- Actualizing Value and the Feeling Reactivity, Spontaneity, Self-Regard and Nature of Man scales : the Feeling Reactivity and Acceptance of Aggression scales: the Spontaneity and the Self-Regard and Nature of Man scales; and between the Self-Regard and Nature of Man scales.

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ON CONVERGENCE THEOREMS FOR THE MCSHANE INTEGRAL ON TIME SCALES

  • You, Xuexiao;Zhao, Dafang
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.393-400
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    • 2012
  • In this paper, we study the process of McShane delta integrals on time scales and discuss the relation between McShane delta integral and Henstock delta integral. We also prove the mono- tone convergence theorem, Fatou's Lemma and the dominated con- vergence theorems for the McShane delta integral.

THE RIEMANN-STIELTJES DIAMOND-ALPHA INTEGRAL ON TIME SCALES

  • Zhao, Dafang;You, Xuexiao;Cheng, Jian
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.1
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    • pp.53-63
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    • 2015
  • In this paper, we define and study the Riemann-Stieltjes diamond-alpha integral on time scales. Many properties of this integral will be obtained. The Riemann-Stieltjes diamond-alpha integral contains the Riemann{Stieltjes integral and diamond-alpha integral as special cases.

OSCILLATION OF NONLINEAR EQUATIONS ON TIME SCALES

  • Li, Qiaoluan;Liu, Zhiyong;Dong, Wenlei;Liang, Haiyan;Zhang, Zhenguo
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.327-334
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    • 2009
  • By means of Riccati transformation techniques, we obtain some criteria which ensure that every solution of a nonlinear equation on time scales oscillates.

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STEFFENSEN'S INEQUALITY ON TIME SCALES FOR CONVEX FUNCTIONS

  • Iddrisu, Mohammed Muniru
    • Honam Mathematical Journal
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    • v.41 no.1
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    • pp.89-99
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    • 2019
  • The Steffensen's Inequality was discovered in 1918 by Johan Frederic Steffensen (1873-1961). This inequality is very popular in the research environment and attracted the attention of many people working in similar area. Various extensions and generalisations have been provided concerning the inequality. This paper presents some further refinements of the Steffensen's Inequality on Time scales using methods of convexity, differentiability and monotonicity.

TIME SCALES INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS

  • Baric, Josipa;Bibi, Rabia;Bohner, Martin;Pecaric, Josip
    • Journal of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.465-477
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    • 2013
  • In this paper, two different methods of proving Jensen's inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and some known results for isotonic linear functionals.