Abstract
In this paper, the existence and uniqueness of periodic solution of first order impulsive differential equation is investigated on the Banach space PC(J) using the new method of iterative analysis which is introduced by Mengxing He and Anping Liu in the paper[9]. Base on the iterative sequence of the equation, we obtain the existence and uniqueness of periodic solution of first order impulsive differential equation and the norm estimation of the solution on the Banach space PC(J).
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He, L., Liu, A. (2011). Periodic Solution of First-Order Impulsive Differential Equation Based on Data Analysis. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23357-9_52
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DOI: https://doi.org/10.1007/978-3-642-23357-9_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23356-2
Online ISBN: 978-3-642-23357-9
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