Ψ- Dichotomy for Linear Dynamic Systems on Time Scales
Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.2, No. 9)Publication Date: 2013-09-30
Authors : B.V.Appa Rao; N.Murty; K.A.S.N.V Prasad;
Page : 2240-2248
Keywords : and phrases: Timescales; Fundamental matrix; Ψ ?dichotomy; dynamical systems.;
Abstract
The intent of this paper is to develop some explicit sufficient criteria for the existence and roughness of exponential Ψ-dichotomies of linear dynamic system of the form x?(t)=A(t)x(t) on time scales. It is more interesting and more challenging to establish necessary and sufficient criteria for the existence of exponential Ψ- Dichotomy for Linear Dynamic Systems on Time Scales
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