Comparison results for initial value problems of second-order impulsive integro-differential inclusions |
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| Authors: | Shihuang Hong Min Zhang |
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| Institution: | Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou, 310018, People’s Republic of China |
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| Abstract: | In this paper, we present new maximum and minimum principles for the initial value problem for a class of second-order nonlinear impulsive integro-differential inclusions with discontinuous multivalued functions on the right hand side in a real Banach space. This allows us to lead on to the development of the comparison principle and monotone iterative technique for a nonlinear second-order impulsive integro-differential inclusion. |
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| Keywords: | Multivalued operators Fixed points Cones Comparison principles Impulsive integro-differential inclusions Initial value problems |
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