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系统科学与数学 2006
Solutions of Initial Value Problems for Second Order Impulsive Integro-Diffential Equations in BANACH Spaces
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Abstract:
Under rather weak conditions,the existence of solutions to initial value problem is studied for the second order impulsive integro-differential equations in Banach spaces.Some existence theorems of solutions are established,and the related results by Guo Dajun are essentially improved.At the same time,one sufficient condition for the existence of minimal and maximal solutions is obtained through the Kuratowski measure of noncompactness.