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Existence and Uniqueness of Solutions of Integer Order Differential Equations with Non-Instantaneous Impulses

WenJing Zheng, College of Science, University of Shanghai for Science and Technology, Shanghai, P. R. China
2020 Journal of Advances in Applied Mathematics  

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We study the existence and uniqueness of solutions for a class of integer order differential equations with non-instantaneous. Firstly, the differential boundary value problem is transformed into an equivalent integral equation problem, and then the existence results of the solution and the sufficient conditions for the existence of the solutions are obtained by using Schauder fixed point theory. The uniqueness theorem of the solution is established by using contraction mapping principle.
doi:10.22606/jaam.2020.52003 fatcat:dyyqxnnhdbgw7fmfwjishiwfgm
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WenJing Zheng, College of Science, University of Shanghai for Science and Technology, Shanghai, P. R. China. "Existence and Uniqueness of Solutions of Integer Order Differential Equations with Non-Instantaneous Impulses." Journal of Advances in Applied Mathematics 5.2 (2020)