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Stable index pairs for dispersive dynamical systems
구윤회,박종서 대한수학회 2011 대한수학회보 Vol.48 No.1
We construct the index pairs of an isolated neighborhood for a dispersive dynamical system and investigate the existence of an index pair which is stable under small perturbations of the dispersive dynamical systems.
h-stability of the nonlinear perturbed differential systems via t_∞-similarity
구윤회,Seung Bum Yang 충청수학회 2011 충청수학회지 Vol.24 No.4
In this paper, we investigate h-stability of the nonlinear perturbed differential systems using the the notion of t_∞-similarity
Boundedness in the nonlinear perturbed differential systems via t∞–similarity
구윤회 한국수학교육학회 2016 純粹 및 應用數學 Vol.23 No.2
This paper shows that the solutions to the nonlinear perturbed differential system y'=f(t,y)+\int_{t_0}^tg(s,y(s),T_{1}y(s))ds+h(t,y(t),T_{2}y(t)), have the bounded property by imposing conditions on the perturbed part $\int_{t_0}^tg(s,y(s),T_{1}y(s))ds$, $h(t,y(t),T_{2}y(t))$, and on the fundamental matrix of the unperturbed system y'=f(t,y) using the notion of h-stability.
BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS
구윤회 한국수학교육학회 2015 純粹 및 應用數學 Vol.22 No.2
Alexseev's formula generalizes the variation of constants formula and permits the study of a nonlinear perturbation of a system with certain stability properties. In this paper, we investigate bounds for solutions of the functional nonlinear perturbed differential systems using the two notion of h-stability and t∞- similarity.
Discrete Volterra equations in weighted spaces
구윤회,임동만 충청수학회 2007 충청수학회지 Vol.20 No.3
We prove the Medina's results about the existence and uniqueness of solutions of discrete Volterra equations of convolution type in weighted spaces, by using the well-known Contraction Mapping Principle.
BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS
구윤회 한국수학교육학회 2013 純粹 및 應用數學 Vol.20 No.3
Alexseev's formula generalizes the variation of constants formula and permits the study of a nonlinear perturbation of a system with certain stability properties. In recent years M. Pinto introduced the notion of h-stability. S.K. Choi et al. investigated h-stability for the nonlinear diifferential systems using the notion of t_∞ -similarity. Applying these two notions, we study bounds for solutions of the perturbed diifferential systems.
On the continuity of the Zadeh extensions
구윤회,박종서 충청수학회 2007 충청수학회지 Vol.20 No.4
In this paper, we prove the continuity of the Zadeh extensions for continuous surjections and for semiflows.