Abstract
By using the continuation theorem due to Mawhin and Gaines, the sufficient conditions ensuring the existence of positive periodic solutions for a kind of first-order singular differential equation induced by impulses. Some recent results in the literature are improved.
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Acknowledgements
The authors thank the anonymous reviewers for their insightful suggestions which improved this work significantly. The research was supported by the National Natural Science Foundation of China (Grant Nos. 11661037,11471109), Hunan Provincial Natural Science Foundation of China (Grant No. 2016JJ6122), Jishou University Doctor Science Foundation (Grant No. jsdxxcfxbskyxm201504) and Hunan Provincial Innovation Foundation For Postgraduate.
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Kong, F., Luo, Z. Positive Periodic Solutions for a Kind of First-Order Singular Differential Equation Induced by Impulses. Qual. Theory Dyn. Syst. 17, 375–386 (2018). https://doi.org/10.1007/s12346-017-0239-y
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DOI: https://doi.org/10.1007/s12346-017-0239-y