• 제목/요약/키워드: differential inequalities

검색결과 85건 처리시간 0.023초

Gender, Professional and Non-Professional Work, and the Changing Pattern of Employment-Related Inequality in Poor Self-Rated Health, 1995-2006 in South Korea

  • Kim, Il-Ho;Khang, Young-Ho;Cho, Sung-Il;Chun, Hee-Ran;Muntaner, Carles
    • Journal of Preventive Medicine and Public Health
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    • 제44권1호
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    • pp.22-31
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    • 2011
  • Objectives: We examined gender differential changes in employment-related health inequalities according to occupational position (professional/nonprofessional) in South Korea during the last decade. Methods: Data were taken from four rounds of Social Statistical Surveys of South Korea (1995, 1999, 2003, and 2006) from the Korean National Statistics Office. The total study population was 55435 male and 33913 female employees aged 25-64. Employment arrangements were divided into permanent, fixed-term, and daily employment. Results: After stratification according to occupational position (professional/nonprofessional) and gender, different patterns in employment - related health inequalities were observed. In the professional group, the gaps in absolute and relative employment inequalities for poor self-rated health were more likely to widen following Korea's 1997 economic downturn. In the nonprofessional group, during the study period, graded patterns of employment-related health inequalities were continuously observed in both genders. Absolute health inequalities by employment status, however, decreased among men but increased among women. In addition, a remarkable increase in relative health inequalities was found among female temporary and daily employees (p = 0.009, < 0.001, respectively), but only among male daily employees (p = 0.001). Relative employment-related health inequalities had clearly widened for female daily workers between 2003 and 2006 (p = 0.047). The 1997 Korean economic downturn, in particular, seemingly stimulated a widening gap in employment health inequalities. Conclusions: Our study revealed that whereas absolute health inequalities in relation to employment status increased in the professional group, relative employment-related health inequalities increased in the nonprofessional group, especially among women. In view of the high concentration of female nonstandard employees, further monitoring of inequality should consider gender specific patterns according to employee's occupational and employment status.

DESIGN PROBLEM SOLVED BY OPTIMAL CONTROL THEORY

  • Butt, Rizwan
    • Journal of applied mathematics & informatics
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    • 제4권1호
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    • pp.167-178
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    • 1997
  • In this paper we present an application to airfoil design of an optimum design method based on optimal control theory. The method used here transforms the design problem by way of a change of variable into an optimal control problem for a distributed system with Neumann boundary control. This results in a set of variational inequalities which is solved by adding a penalty term to the differential equation. This si inturn solved by a finite element method.

GLOBAL SOLUTIONS OF THE COOPERATIVE CROSS-DIFFUSION SYSTEMS

  • Shim, Seong-A
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제22권1호
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    • pp.75-90
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    • 2015
  • In this paper the existence of global solutions of the parabolic cross-diffusion systems with cooperative reactions is obtained under certain conditions. The uniform boundedness of $W_{1,2}$ norms of the local maximal solution is obtained by using interpolation inequalities and comparison results on differential inequalities.

A REFINEMENT OF LYAPUNOV-TYPE INEQUALITY FOR A CLASS OF NONLINEAR SYSTEMS

  • Kim, Yong-In
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권4호
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    • pp.329-336
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    • 2011
  • Some new Lyapunov-type inequalities for a class of nonlinear differential systems, which are natural refinements and generalizations of the well-known Lyapunov inequality for linear second order differential equations, are given. The results of this paper cover some previous results on this topic.

PERELMAN TYPE ENTROPY FORMULAE AND DIFFERENTIAL HARNACK ESTIMATES FOR WEIGHTED DOUBLY NONLINEAR DIFFUSION EQUATIONS UNDER CURVATURE DIMENSION CONDITION

  • Wang, Yu-Zhao
    • 대한수학회보
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    • 제58권6호
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    • pp.1539-1561
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    • 2021
  • We prove Perelman type 𝒲-entropy formulae and differential Harnack estimates for positive solutions to weighed doubly nonlinear diffusion equation on weighted Riemannian manifolds with CD(-K, m) condition for some K ≥ 0 and m ≥ n, which are also new for the non-weighted case. As applications, we derive some Harnack inequalities.

FUNCTIONS SUBORDINATE TO THE EXPONENTIAL FUNCTION

  • Priya G. Krishnan;Vaithiyanathan Ravichandran;Ponnaiah Saikrishnan
    • 대한수학회논문집
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    • 제38권1호
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    • pp.163-178
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    • 2023
  • We use the theory of differential subordination to explore various inequalities that are satisfied by an analytic function p defined on the unit disc so that the function p is subordinate to the function ez. These results are applied to find sufficient conditions for the normalised analytic functions f defined on the unit disc to satisfy the subordination zf'(z)/f(z) ≺ ez.

ON INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN-REID TYPE I

  • Zaghrout, A.A.S.;Aly, I.A.
    • Kyungpook Mathematical Journal
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    • 제27권2호
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    • pp.145-152
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    • 1987
  • In this paper we wish to establish some new integral in equalities of the Gronwall-Bellman-Reid type that have a wide range of applications in the differential and integral equations.

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