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Positive Periodic Solutions for a First Order Singular Ordinary Differential Equation Generated by Impulses

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Abstract

We extend recent results on the existence of positive periodic solutions for singular ordinary differential equations. The nonlinearity and the impulses satisfy weaker conditions and we present new examples.

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Acknowledgements

This work has been partially supported by the Agencia Estatal de Innovación (AEI) of Spain, project MTM2016-75140-P, co-financed by European Community fund FEDER and Xunta de Galicia under grants GRC 2015-004 and R 2016/022.

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  1. Departamento de Estadística, Análisis Matemático y Optimización Facultad de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Juan J. Nieto & José M. Uzal

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  1. Juan J. Nieto
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  2. José M. Uzal
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Correspondence to Juan J. Nieto.

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Nieto, J.J., Uzal, J.M. Positive Periodic Solutions for a First Order Singular Ordinary Differential Equation Generated by Impulses. Qual. Theory Dyn. Syst. 17, 637–650 (2018). https://doi.org/10.1007/s12346-017-0266-8

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