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Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations

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Abstract

In this paper, we study integral boundary value problems for two classes of nonlinear non-instantaneous impulsive ordinary differential equations. More precisely, one is integer order impulsive model, the other is fractional order impulsive model. By using standard fixed point approach, a series of existence results are presented under different conditions.

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Acknowledgments

We thank to the referee for valuable comments and suggestions which improved our paper. The authors acknowledge Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), Unite Foundation of Guizhou Province ([2015]7640) and Outstanding Scientific and Technological Innovation Talent Award of Education Department of Guizhou Province ([2014]240).

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, People’s Republic of China

    Dan Yang & JinRong Wang

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  1. Dan Yang
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  2. JinRong Wang
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Correspondence to JinRong Wang.

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Yang, D., Wang, J. Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations. J. Appl. Math. Comput. 55, 59–78 (2017). https://doi.org/10.1007/s12190-016-1025-8

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  • DOI: https://doi.org/10.1007/s12190-016-1025-8

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