• Kyungpook Mathematical Journal
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• 제58권2호
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• pp.291-305
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• 2018

In this paper, we prove a general uniqueness theorem which is useful for proving the uniqueness of the relevant additive mapping, quadratic mapping, cubic mapping, quartic mapping, or the additive-quadratic-cubic-quartic mapping when we investigate the (generalized) Hyers-Ulam stability.

• Nonlinear Functional Analysis and Applications
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• 제26권5호
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• pp.1035-1044
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• 2021

Existence and uniqueness results for solutions of system of Riemann-Liouville (R-L) fractional differential equations with initial time difference are obtained. Monotone technique is developed to obtain existence and uniqueness of solutions of system of R-L fractional differential equations with initial time difference.

• 대한수학회지
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• 제47권3호
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• pp.467-482
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• 2010

We prove a uniqueness theorem for meromorphic functions sharing three weighted values which improves some existing results.

• 충청수학회지
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• 제10권1호
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• pp.87-95
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• 1997

In general, the positive solution to biological reaction-diffusion equations is not unique. In this paper, we state the sufficient and necessary conditions of the existence of positive solutions, and give and the proof for the uniqueness of positive solutions for a certain elliptic interacting system.

• 대한수학회논문집
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• 제17권4호
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• pp.593-606
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• 2002

We prove local existence and global uniqueness in one dimensional nonlinear hyperbolic inverse problems. The basic key for showing the local existence of inverse solution is the principle of contracted mapping. As an application, we consider a hyperbolic inverse problem with damping term.

• Kyungpook Mathematical Journal
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• 제46권3호
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• pp.437-444
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• 2006

In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

• 대한수학회보
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• 제52권2호
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• pp.345-350
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• 2015

In the paper we prove a uniqueness theorem which improves and generalizes a number of uniqueness theorems for meromorphic functions related to Nevanlinna's five value theorem.

• 대한수학회논문집
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• 제30권2호
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• pp.93-101
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• 2015

In this paper, we study the uniqueness of entire functions concerning differential polynomials and deficient value. The results extend and improve Theorem 2 in Yi [13].

• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.131-145
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• 2017

In this paper, we study the uniqueness and value sharing problems in class ${\mathcal{A}}$ of meromorphic functions. We obtain significant results which improve as well as generalize the result of C.C Yang and Xinhou Hua [10].

• 대한수학회보
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• 제44권4호
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• pp.607-622
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• 2007

We prove four theorems on the uniqueness of non linear differential polynomials sharing one value which improve a result of Yang and Hua, and supplements some results of Lahiri, Xu and Qiu and Banerjee.