• Communications of the Korean Mathematical Society
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• v.39 no.1
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• pp.105-116
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• 2024

In this paper, we prove a uniqueness theorem of non-constant meromorphic functions of hyper-order less than 1 sharing two values CM and two partial shared values IM with their shifts. Our result in this paper improves and extends the corresponding results from Chen-Lin [2], Charak-Korhonen-Kumar [1], Heittokangas-Korhonen-Laine-Rieppo-Zhang [9] and Li-Yi [12]. Some examples are provided to show that some assumptions of the main result of the paper are necessary.

• Journal of Applied and Pure Mathematics
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• v.4 no.5_6
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• pp.287-297
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• 2022

In this paper, we consider a risk-minimization hedging problem for a special European contingent claims. The existence and uniqueness of strategy are given constructively. Firstly, a non-standard European contingent is demonstrated as stochastic payment streams. Then the existence of the risk minimization strategy and also the uniqueness are proved under two kinds market information by using Galtchouk-Kunita-Watanabe decomposition and constructing a 0-achieving strategy risk-minimizing strategies in full information. And further, we have proven risk-minimizing strategies exists and is unique under restrict information by constructing a weakly mean-selffinancing strategy.

• Kyungpook Mathematical Journal
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• v.47 no.3
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• pp.439-448
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• 2007

In the paper, we use the theory of normal family to study the problem on entire function that share a finite non-zero value with their derivatives and prove a uniqueness theorem which improve the result of J.P. Wang and H.X. Yi.

• Bulletin of the Korean Mathematical Society
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• v.59 no.5
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• pp.1247-1253
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• 2022

This paper studies the uniqueness of two non-constant meromorphic functions when they share a finite set. Moreover, we will give an existence of unique range sets for meromorphic functions that are the zero sets of some polynomials that do not necessarily satisfy the Fujimoto's hypothesis ([6]).

• Journal of Fashion Business
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• v.16 no.5
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• pp.114-129
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• 2012

The purpose of this study is to analyze the effects of consumer's need for uniqueness, whether or not using ALPHA-NUMERIC Brand Name and types of fashion goods upon the consumer's attitude. The experimental design of this study is three-ways complex factors design of 2 (Consumer's Need for Uniqueness : High vs Law) ${\times}$ 2 (Whether or not to use ALPHA-NUMERIC Brand Name : Used brand vs Non-used brand) ${\times}$ 2 (Types of fashion goods: Rational fashion goods vs Emotional fashion goods) The conclusions are as follows. 1. The interaction effect upon a favorite level according to consumer's need for uniqueness, whether or not using ALPHA-NUMERIC brand name and types of fashion goods upon the consumer's attitude is proven significant. For the group where customer's need for uniqueness is low, when ALPHA-NUMERIC brand name is not used, the favorableness of rational fashion good, a parka is lower than that of emotional fashion good, one-piece dress. However, there is no significant difference in favorableness by types of fashion goods when ALPHA-NUMERIC brand name is used. At the group with high need for uniqueness, while there is no significant difference in favorableness when ALPHA-NUMERIC brand name is not used, the favorableness of parka is higher than that of one-piece dress when ALPHA-NUMERIC brand name is used. 2. The interaction effects upon purchase intention according to consumer's need for uniqueness, whether or not using ALPHA-NUMERIC brand name and types of fashion goods are proven significant. For the group where customer's need for uniqueness is low, there is no significant different in the favorableness whether or not ALPHA-NUMERIC brand name is used. On the other hand, the group with high need for uniqueness, if ALPHA-NUMERIC brand name is used, the intention to purchase parka is higher than the intention to purchase one-piece dress.

• Journal of applied mathematics & informatics
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• v.36 no.1_2
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• pp.39-50
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• 2018

In this paper, we deal with the uniqueness problem for the power of p-adic meromorphic functions. The results obtained in this paper are the p-adic analogues and supplements of the theorems given by Yang and Zhang [Non-existence of meromorphic solution of a Fermat type functional equation, Aequationes Math. 76(2008), 140-150], Chen, Chen and Li [Uniqueness of difference operators of meromorphic functions, J. Ineq. Appl. 2012(2012), Art 48], Zhang [Value distribution and shared sets of differences of meromorphic functions, J. Math. Anal. Appl. 367(2010), 401-408].

• The Pure and Applied Mathematics
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• v.26 no.4
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• pp.289-303
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• 2019

We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Mizoguchi-Takahashi contraction on a complete metric space endowed with a partial order. As an application of our result we study the existence and uniqueness of the solution to integral equation. The results we obtain generalize, extend and unify several very recent related results in the literature.

• Communications of the Korean Mathematical Society
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• v.33 no.3
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• pp.985-999
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• 2018

This paper is devoted to the existence and uniqueness of $L^p$ (p > 1) solutions for general time interval multidimensional backward stochastic differential equations (BSDEs for short), where the generator g satisfies a ($p{\wedge}2$)-order weak monotonicity condition in y and a Lipschitz continuity condition in z, both non-uniformly in t. The corresponding stability theorem and comparison theorem are also proved.

• Journal of the Korean Mathematical Society
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• v.58 no.5
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• pp.1261-1277
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• 2021

An inertial manifold is often constructed as a graph of a function from low Fourier modes to high ones and one used to consider backward bounded (in time) solutions for that purpose. We here show that the proof of the uniqueness of such solutions is crucial in the existence theory of inertial manifolds. Avoiding contraction principle, we mainly apply the Arzela-Ascoli theorem and Laplace transform to prove their existence and uniqueness respectively. A non-self adjoint example is included, which is related to a differential system arising after Kwak transform for Navier-Stokes equations.

• Korean Journal of Mathematics
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• v.30 no.2
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• pp.249-261
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• 2022

Let f be a non-constant meromorphic function in the open complex plane ℂ. In this paper we prove under certain essential conditions that R(f) and P[f], rational function and differential polynomial of f respectively, share a small function of f and obtain a conclusion related to Brück conjecture. We give some examples in support to our result.