• 충청수학회지
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• 제9권1호
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• pp.165-174
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• 1996

Using the comparison principle and inequalities we obtain some results on boundedness and stabilities of solutions of the nonlinear functional differential equation $y^{\prime}=f(t,y)+g(t,y,Ty)$.

• 충청수학회지
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• 제26권4호
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• pp.831-842
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• 2013

In this paper, we investigate uniform Lipschitz and asymptotic stability for perturbed differential systems using integral inequalities.

• 충청수학회지
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• 제20권4호
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• pp.561-568
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• 2007

In this paper, we improve the results of [9] and give an application to boundedness of the solutions of nonlinear integro-differential equations.

• Kyungpook Mathematical Journal
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• 제45권3호
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• pp.349-356
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• 2005

In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear differential equations.

• 충청수학회지
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• 제24권2호
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• pp.393-400
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• 2011

In this paper we study h-stability for the linear impulsive equations using the notion of kinematical similarity and impulsive integral inequality.

• 지역사회간호학회지
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• 제31권1호
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• pp.13-23
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• 2020

Purpose: This study explored the contribution of social support resources to the explanation of socioeconomic inequalities in depressive symptoms of older Korean men and women. Methods: Data were derived from Living Profiles of Older People Survey (LPOPS), which comprises a nationally representative sample of non-institutionalized Korean older adults living in the community. The data were analyzed by using multiple logistic regression. The sample consisted of 4,046 men and 6,036 women aged ≥65 years. The Korean version of the Geriatric Depression Scale-Short form (SGDS-K) was employed as an outcome variable. Results: Compared to the older men and women who were in higher socioeconomic status, those in lower socioeconomic status had significantly higher risk of depressive symptoms after adjusting for other covariates. When social support resources were individually included in the base model, each factor contributed to inequalities in depressive symptoms. Social networks explained about 20% of the differential impact of education and 10% to 15% of the differential impact of household income for depressive symptoms in men. Among women, it mitigated 23.6% to 39.0% of education and household income inequalities for depressive symptoms. Social participation contributed to buffer depressive symptom inequalities of 24.0% to 46.3% among men and those of 11.7% to 45.3% among women. Conclusion: Our findings suggest community care nurses acknowledge the value of social support resources to alleviate socioeconomic inequality in depressive symptoms among older men and women.

• Journal of applied mathematics & informatics
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• 제26권5_6호
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• pp.877-888
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• 2008

This paper deals with some new nonlinear delay and weakly singular integral inequalities of Gronwall-Bellman type. These results generalize the inequalities discussed by Xiang and Kuang [19]. Several other inequalities proved by $Medve{\check{d}}$ [15] and Ou-Iang [17] follow as special cases of this paper. This work can be used in the analysis of various problems in the theory of certain classes of differential equations, integral equations and evolution equations. A modification of the Ou-Iang type inequality with delay is also treated in this paper.

• 한국정밀공학회지
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• 제15권5호
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• pp.120-127
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• 1998

Differential inequalities occurring in problems of obstacle contact problems are recast into variational inequalities and analyzed by finite element methods. A new a posteriori error estimator, which is essential in adaptive finite element method, is introduced to capture the errors in finite element approximations of these variational inequalities. In order to construct a posteriori error estimates, saddle point problems are introduced using Lagrange parameters and upper bounds are provided. The global upper bound is localized by a special mixed formulation, which leads to upper bounds of the element errors. A numerical experiment is performed on an obstacle contact problem to check the effectivity index both in a local and a global sense.

• East Asian mathematical journal
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• 제34권3호
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• pp.249-263
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• 2018

We aim to establish certain Gronwall type inequalities associated with Riemann-Liouville k- and Hadamard k-fractional derivatives. The results presented here are sure to be new and potentially useful, in particular, in analyzing dependence solutions of certain k-fractional differential equations of arbitrary real order with initial conditions. Some interesting special cases of our main results are also considered.

• 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.