• Journal of applied mathematics & informatics
• /
• 제40권5_6호
• /
• pp.995-1002
• /
• 2022

In this paper, we study the uniqueness of meromorphic functions sharing a unique range sets Ignoring multiplicities. This paper improves the result of Pulak sahoo and Anjan Sarkar [15].

• Journal of applied mathematics & informatics
• /
• 제32권1_2호
• /
• pp.75-82
• /
• 2014

In this paper, we consider the periodic boundary value problem with sign changing nonlinearity $$u^{{\prime}{\prime}{\prime}}+{\rho}^3u=f(t,u),\;t{\in}[0,2{\pi}]$$, subject to the boundary value conditions: $$u^{(i)}(0)=u^{(i)}(2{\pi}),\;i=0,1,2$$, where ${\rho}{\in}(o,{\frac{1}{\sqrt{3}}})$ is a positive constant and f(t, u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.

• Advances in concrete construction
• /
• 제11권3호
• /
• pp.255-260
• /
• 2021

Vibration of protein microtubules is investigated based upon Orthotropic Elastic Shell Model, considering the effect of thermal stresses. The complete analytical formulas of thermal vibration for microtubules are obtained. It is observed that the effects of thermal stresses on the vibrational frequency mode are more significant when the longitudinal and circumferential wave vectors are large enough. But when the length of wave vector reduces to 5 nm, these effects have no significant effects. The present results well agree with the lattice vibrations of microtubules. Moreover, the results show that the effects of thermal stresses due to small change in temperature are not so significant but with the increase in temperature its effects are obvious.

• 한국수학교육학회지시리즈D:수학교육연구
• /
• 제11권4호
• /
• pp.235-246
• /
• 2007

The background and the existing problems in teaching of mathematics application were analyzed. Based on the mathematics knowledge which from the simple application, complicate application, and synthetically application to the mathematics modeling, the ability level test questions of mathematics application was worded out to help the teaching and learning in mathematics application.

• Journal of applied mathematics & informatics
• /
• 제32권1_2호
• /
• pp.185-201
• /
• 2014

In this paper, we construct a numerical method to solve singularly perturbed one-dimensional parabolic convection-diffusion problems. We use Euler method with uniform step size for temporal discretization and exponential-spline scheme on spatial uniform mesh of Shishkin type for full discretization. We show that the resulting method is uniformly convergent with respect to diffusion parameter. An extensive amount of analysis has been carried out to prove the uniform convergence with respect to the singular perturbation parameter. The obtained numerical results show that the method is efficient, stable and reliable for solving convection-diffusion problem accurately even involving diffusion parameter.

• 한국정보디스플레이학회:학술대회논문집
• /
• 한국정보디스플레이학회 2006년도 6th International Meeting on Information Display
• /
• pp.1744-1749
• /
• 2006

Line-scan SLS of thin Si films permits the attainment of low-defect-density Si films with a directionally solidified microstructure. This paper deals with: (1) identifying and examining the structural defects that are found in the resultant material, (2) how the spatial variations in the type and density of the observed defects may potentially affect the overall uniformity of the resulting devices, and (3) some technical options that may be applied in order to potentially alleviate the situation.

• 한국정보디스플레이학회:학술대회논문집
• /
• 한국정보디스플레이학회 2006년도 6th International Meeting on Information Display
• /
• pp.1750-1755
• /
• 2006

Nonoptimal placement of short-channel-length TFTs in large-grained polycrystalline Si films with a periodic microstructure, as for instance obtained via 2-shot SLS, can potentially lead to degradation in the overall uniformity of the resultant devices. In this paper, we explain and demonstrate that by simply introducing a well-defined misorientation between the devices and the periodic microstructure, it is possible to significantly reduce (and potentially entirely eliminate) the device nonuniformity problem that can arise from such a cause.

• 한국정보디스플레이학회:학술대회논문집
• /
• 한국정보디스플레이학회 2007년도 7th International Meeting on Information Display 제7권1호
• /
• pp.7-7
• /
• 2007

Laser-irradiation-induced crystallization of as-deposited amorphous precursor films constitutes an integral step in fabricating LTPS TFTs. Consideration of various factors leads one to conclude that, for display manufacturers, choosing how to crystallize the films can be identified as being tactically and strategically significant. This paper will begin by reviewing the fundamental aspects of laser crystallization, and then present noteworthy advances and progress, which have recently been accomplished in the field. In particular, we will focus on communicating the evolving status associated with the sequential lateral solidification (SLS) method, which can be presently identified as the most strategically enabling crystallization method.

• Kyungpook Mathematical Journal
• /
• 제56권2호
• /
• pp.431-450
• /
• 2016

In this paper, the existence, uniqueness, stability via continuous dependence and Ulam stabilities of nonlinear integro-differential equations with random impulses are studied under sufficient condition. The results are obtained by using Leray-Schauder alternative fixed point theorem and Banach contraction principle.

• Journal of applied mathematics & informatics
• /
• 제22권1_2호
• /
• pp.387-401
• /
• 2006

This paper deals with the problem of a ratio-dependent prey- predator model with combined harvesting. The existence of steady states and their stability are studied using eigenvalue analysis. Boundedness of the exploited system is examined. We derive conditions for persistence and global stability of the system. The possibility of existence of bionomic equilibria has been considered. The problem of optimal harvest policy is then solved by using Pontryagin's maximal principle.