• 충청수학회지
• /
• 제29권3호
• /
• pp.429-442
• /
• 2016

In this paper we show that the solutions to the perturbed differential system $$y^{\prime}=f(t,y)+{\int}_{to}^{t}g(s,y(s),Ty(s))ds$$ have uniformly Lipschitz stability and asymptotic behavior by imposing conditions on the perturbed part $\int_{to}^{t}g(s,y(s),Ty(s))ds$ and the fundamental matrix of the unperturbed system y' = f(t, y).

• 대한수학회논문집
• /
• 제20권2호
• /
• pp.351-358
• /
• 2005

We study asymptotic equivalence between nonlinear difference system $$\Delta\chi(n)=f(n,\chi(n))$$ and its variational system $${\Delta}v(n)=f_{\chi}(n,0)v(n)$$.

• Journal of applied mathematics & informatics
• /
• 제7권2호
• /
• pp.641-652
• /
• 2000

In this paper we will survey the recent results about oscillation and asymptotic behavior for the linear differential equation with a single delay x'9t)+p(t)x(t-r)=0, $t\geqt_1$.

• Journal of applied mathematics & informatics
• /
• 제33권5_6호
• /
• pp.687-697
• /
• 2015

This paper shows that the solutions to the perturbed nonlinear functional differential system

• Journal of applied mathematics & informatics
• /
• 제32권5_6호
• /
• pp.807-816
• /
• 2014

The asymptotic behavior of solutions of Lyapunov type matrix Volterra integro differential equation, in which the coefficient matrices are not stable, is studied by the method of reduction.

• 한국산업정보학회논문지
• /
• 제9권4호
• /
• pp.68-74
• /
• 2004

We investigate various $\phi(t)-stability$ of comparison differential equations and We obtain necessary and/or sufficient conditions for the asymptotic and uniform asymptotic stability of the differential equations x'=f( t, x)

• 대한수학회논문집
• /
• 제10권3호
• /
• pp.491-498
• /
• 1995

This paper is concerned with an asymptotic behavior of ideals relative to injective modules ove the commutative Noetherian ring A : under what conditions on A can we show that $$\bar{At^*}(a,E)=At^*(a,E)$?

• 대한수학회보
• /
• 제39권2호
• /
• pp.251-258
• /
• 2002

Let R be a commutative Noetherian ring and M an R-module. In this paper we will consider the asymptotic behaviour of ideals relative to an R-module E which is M-injective.

• Communications for Statistical Applications and Methods
• /
• 제4권2호
• /
• pp.445-452
• /
• 1997

In this paper, twicing technique for the improvement of asymptotic boundary bias in nonparametric regression is considered. Asymptotic mean squared errors of the nonparametric regression estimators are derived at the boundary region by twicing the Nadaraya-Waston and local linear smoothing. Asymptotic biases of the resulting estimators are of order$h^2$and$h^4$ respectively.

• Journal of applied mathematics & informatics
• /
• 제9권2호
• /
• pp.635-643
• /
• 2002

The asymptotic behaviour of the solutions of initial - boundary value problem for a class of nonlinear parabolic differential - functional equations is studied via the method of differential inequalities in order to obtain oscillation criterion for the solutions.