Relation Between a Class of Impulsive Differential Systems and Kurzweil Generalized Ordinary Differential Equations
MA Xue-min
Abstract
MA Xue-min
Abstract
The relation between impulsive differential systems at fixed times and Kurzweil generalized ordinary differetial equations are discussed.The local existence and uniqueness theorem of bounded variational solutions for impulsive differential equations at fixed times are established.Furthermore,a new method which can be applied to this class of impulsive systems is shown.
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The relation between impulsive differential systems at fixed times and Kurzweil generalized ordinary differetial equations are discussed.The local existence and uniqueness theorem of bounded variational solutions for impulsive differential equations at fixed times are established.Furthermore,a new method which can be applied to this class of impulsive systems is shown.
Key concepts: Mathematics, Ordinary differential equation, Class (philosophy), Uniqueness, Mathematical analysis, Differential equation, Bounded function, Differential algebraic equation