• 대한수학회보
• /
• 제44권4호
• /
• pp.663-675
• /
• 2007

We investigate the representation of the solution of discrete linear Volterra difference systems by means of the resolvent matrix and fundamental matrix, respectively, and then study the boundedness of the solutions of discrete Volterra systems by improving the assumptions and the proofs of Medina#s results in [6].

• 대한수학회보
• /
• 제54권4호
• /
• pp.1387-1407
• /
• 2017

In this paper, we introduce a family resolvent cocycle and express the Chern Character of Dai-Zhang higher spectral flow as a pairing of a family resolvent cocycle and the odd Chern character of a unitary matrix, which generalize the odd index formula of Carey et al. to the family case.

• 대한수학회보
• /
• 제44권1호
• /
• pp.177-184
• /
• 2007

We study the asymptotic behavior of nonlinear Volterra difference system $$x(n+1)=f(n,x(n))+{\sum\limits^{n}_{s=n_{o}}\;g(n,s,x(s)),\;x(n_{o})=xo$$ by using the resolvent matrix R(n, m) of the corresponding linear Volterra system and the comparison principle.

• 대한수학회보
• /
• 제39권1호
• /
• pp.53-62
• /
• 2002

We discuss the $\hbar-stability$ of perturbed Volterra difference systems by means of the resolvent matrix and discrete inequalities.

• 충청수학회지
• /
• 제22권4호
• /
• pp.635-643
• /
• 2009

We investigate h-stability of solutions of perturbed Volterra difference systems.

• 충청수학회지
• /
• 제20권3호
• /
• pp.311-320
• /
• 2007

We obtain a discrete analogue of Nohel's result in [5] about asymptotic equivalence between perturbed Volterra system and unperturbed system.

• 충청수학회지
• /
• 제22권3호
• /
• pp.535-543
• /
• 2009

We investigate h-stability of solutions of nonlinear Volterra difference systems and linear Volterra difference systems.