• Journal of applied mathematics & informatics
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• 제33권1_2호
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• pp.45-60
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• 2015

This paper is concerned with the existence of mild solutions for partial neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using resolvent operators and Krasnoselski-Schaefer type fixed point theorem. An example is provided to illustrate the results.

• 충청수학회지
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• 제29권1호
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• pp.49-58
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• 2016

We study the existence of S-asymptotically ${\omega}$-periodic mild solutions of partial functional integrodifferential equation by the method of Caicedo et al. [2].

• 충청수학회지
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• 제33권3호
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• pp.351-363
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• 2020

We introduce a new concept of Stepanov weighted pseudo almost periodic functions of class r which have been established by recently in [20]. Furthermore, we study the uniqueness and existence of Stepanov weighted pseudo almost periodic mild solutions of partial neutral functional differential equations having the Stepanov pseudo almost periodic forcing terms on finite delay.

• 한국보건간호학회지
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• 제30권2호
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• pp.259-273
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• 2016

Purpose: The purpose of this study was to explore the barriers and solution of providing long-term care (LTC) services at home for the beneficiaries with mild dementia. Methods: The data were collected by interviewing three focus groups consisting of 10 home-visit nurses and analyzed through the analytic process by Morgan and Krueger. Results: The barriers of providing LTC services for clients were identified as follows: inadequateness of the current LTC model for elderly individuals with mild dementia and inappropriateness of the personal environment for home care. The solutions for these barriers were suggested as follows: building up a safe environment for home care and maintaining an appropriate standard utilization plan of LTC service. Conclusion: The current service model for the beneficiaries with mild dementia should be modified in order to provide comprehensive long-term care services based on their complex needs.

• 대한수학회지
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• 제54권3호
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• pp.909-943
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• 2017

This paper is devoted to studying abstract stochastic semilinear evolution equations with additive noise in Hilbert spaces. First, we prove the existence of unique local mild solutions and show their regularity. Second, we show the regular dependence of the solutions on initial data. Finally, some applications to stochastic partial differential equations are presented.

• 대한수학회지
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• 제48권3호
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• pp.585-597
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• 2011

We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach fixed point theorem.

• 대한수학회지
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• 제51권6호
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• pp.1123-1139
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• 2014

In this work, we investigate the existence of the extremal solutions for a class of fractional partial differential equations with order 1 < ${\alpha}$ < 2 by upper and lower solution method. Using the theory of Hausdorff measure of noncompactness, a series of results about the solutions to such differential equations is obtained.

• East Asian mathematical journal
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• 제19권1호
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• pp.91-102
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• 2003

In this paper we prove the existence of mild and strong solutions of nonlinear delay integrodifferential equations with nonlocal conditions. The results are obtained by using the Schauder fixed point theorem and resolvent operator.

• Journal of Applied and Pure Mathematics
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• 제4권1_2호
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• pp.71-77
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• 2022

This work considers the existence and uniqueness of fuzzy solutions for impulsive abstract partial neutral functional differential systems. To establish the existence and uniqueness, we apply the concept of impulse, semi group theory and suitable fixed point theorem.

• 한국해안해양공학회지
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• 제6권1호
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• pp.81-87
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• 1994

완경사 방정식을 에너지 보존식으로부터 직접 유도하였으며 에너지 보존식과 Green's first and second identities와의 관계를 분명히 밝혔다. 파랑-흐름 상호작용 시의 타원형 완경사 방정식이 Berkhoff (1972)에 의해서 유도된 흐름이 없는 경우와 같은 형태를 갖는다는 것이 제시되었으며, 또한 해석적인 해를 통해 물리적 특성이 조사되었다.