• The Pure and Applied Mathematics
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• 제18권1호
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• pp.87-95
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• 2011

The existence of T-periodic solutions for a general class of p-Laplacian equations is investigated. By using coincidence degree theory, some existence and uniqueness results, which generalize some earlier works on this topic, are presented.

• Journal of Ocean Engineering and Technology
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• 제17권5호
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• pp.19-24
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• 2003

The question of wave source identification in a wave maker problem is the primary objective of the this paper. With the observed wave elevation, the existence of the wave maker velocity is discussed with the help of the mathematical theory of inverse problems. Utilizing the property of the Strum-Liouville system and compactness, the uniqueness and the ill-posedness(in the sense of stability) for the identification are proved.

• Communications of the Korean Mathematical Society
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• 제31권3호
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• pp.467-481
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• 2016

We study the uniqueness question of transcendental meromorphic functions that share three values CM in some angular domains instead of the whole complex plane. The results in this paper extend the corresponding results in Zheng [13, 14] and Yi [12]. Some examples are given to show that the results in this paper, in a sense, are the best possible.

• Journal of the Korean Mathematical Society
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• 제58권5호
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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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• 제30권2호
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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.

• 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.

• Journal of the Korean Mathematical Society
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• 제48권3호
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• pp.499-512
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• 2011

The purpose of this paper is twofold. The first is to establish a uniqueness theorem for entire function sharing two polynomials with its ${\kappa}$-th derivative, by using the theory of normal families. Meanwhile, the theorem generalizes some related results of Rubel and Yang and of Li and Yi. Several examples are provided to show the conditions are necessary. The second is to generalize the Br$\"{u}$-ck conjecture with the idea of sharing polynomial.

• Journal of the Korean Mathematical Society
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• 제53권5호
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• pp.1077-1100
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• 2016

We develop an invariant local theory of Lorentz surfaces in pseudo-Euclidean 4-space by use of a linear map of Weingarten type. We find a geometrically determined moving frame field at each point of the surface and obtain a system of geometric functions. We prove a fundamental existence and uniqueness theorem in terms of these functions. On any Lorentz surface with parallel normalized mean curvature vector field we introduce special geometric (canonical) parameters and prove that any such surface is determined up to a rigid motion by three invariant functions satisfying three natural partial differential equations. In this way we minimize the number of functions and the number of partial differential equations determining the surface, which solves the Lund-Regge problem for this class of surfaces.

• East Asian mathematical journal
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• 제39권5호
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• pp.515-522
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• 2023

In the case that the set of sorts is countable, we will prove that any sorted profinite group has the unique SEP-cover using the notion of prime model in model theory.

• Journal of Fashion Business
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• 제24권6호
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• pp.1-17
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• 2020

This study investigated the perceptions, attitudes, and behaviors of potential consumers toward using 3D printers to create their personal clothes. An online survey and a series of Welch's t-tests and ANOVA were conducted to investigate the differences in demographic characteristics, prior experiences in 3D printing, and levels of need for uniqueness among the sub-groups. A multiple linear regression analysis was performed to test the relationships among variables of the modified Unified Theory of Acceptance and Use of Technology (UTAUT). There were significant differences in gender and prior experiences regarding the UTAUT of personal 3D printing. The need for uniqueness has a positive effect on consumers' intention to use 3D printing technology for designing personal clothes and perception of the price of the 3D printer used to create individual clothes is important. Positive relationships were found between UTAUT variables as well as the use and purchase intentions. This study analyzed the potential for popularization of 3D printing technology to create fashion items and explore consumer willingness to embrace and use personal fashion designs. The results of this study are expected to assist consumers, designers, retailers and marketers, and experts in 3D printing technology by providing insight into consumer awareness and acceptance of personalized 3D-printed fashion and products.