• 충청수학회지
• /
• 제24권3호
• /
• pp.561-568
• /
• 2011

We investigate the stability property and existence of almost periodic solutions of discrete Volterra equations with unbounded delay.

• 충청수학회지
• /
• 제23권4호
• /
• pp.635-644
• /
• 2010

We investigate the boundedness and asymptotic almost periodicity of solutions for discrete Volterra equations.

• Journal of applied mathematics & informatics
• /
• 제32권5_6호
• /
• pp.567-584
• /
• 2014

In this paper, we consider approximation of eigenelements of a two dimensional compact integral operator with a smooth kernel by discrete collocation and iterated discrete collocation methods. By choosing numerical quadrature appropriately, we obtain convergence rates for gap between the spectral subspaces, and also we obtain superconvergence rates for eigenvalues and iterated eigenvectors. We then apply Richardson extrapolation to obtain further improved error bounds for the eigenvalues. Numerical examples are presented to illustrate theoretical estimates.

• 충청수학회지
• /
• 제26권1호
• /
• pp.197-211
• /
• 2013

We study some stability properties in discrete Volterra equations by employing to change Yoshizawa's results in [13] for the nonlinear equations into results for the nonlinear discrete Volterra equations with unbounded delay.

• 대한수학회지
• /
• 제49권4호
• /
• pp.703-713
• /
• 2012

In this paper we study ${\omega}$-limit sets and attraction of non-autonomous discrete dynamical systems. We introduce some basic concepts such as ${\omega}$-limit set and attraction for non-autonomous discrete system. We study fundamental properties of ${\omega}$-limit sets and discuss the relationship between ${\omega}$-limit sets and attraction for non-autonomous discrete dynamical systems.

• Journal of applied mathematics & informatics
• /
• 제36권5_6호
• /
• pp.411-418
• /
• 2018

In this paper, we prove the discrete compactness property for Kim-Kwak finite element spaces of any order under a weak quasi-uniformity assumption.

• 대한수학회논문집
• /
• 제10권2호
• /
• pp.471-482
• /
• 1995

We give a simple unified proof of various characterizations of discrete classical orthogonal polynomials including two new ones.

• Journal of applied mathematics & informatics
• /
• 제28권3_4호
• /
• pp.553-568
• /
• 2010

By making use of minimax theory and pseudo $Z_p$ index theory, some results on the existence and multiplicity of periodic solutions with minimal period to nonconvex superquadratic discrete Hamiltonian systems are obtained.

• Journal of applied mathematics & informatics
• /
• 제40권5_6호
• /
• pp.949-958
• /
• 2022

The aim of this papaer is to prove the discrete compactness property for modified Raviart-Thomas element(MRT) of lowest order on quadrilateral meshes. Then MRT space can be used for eigenvalue problems, and is more efficient than the lowest order ABF space since it has less degrees of freedom.

• 충청수학회지
• /
• 제1권1호
• /
• pp.65-69
• /
• 1988

In this paper dynamical properties of recurrent discrete flows are stated. The pointwise periodic discrete flows on totally disconnected spaces are of characteristic 0.