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June 2020 Existence of periodic solutions for a class of neutral differential equations with impulses
Suzete M. Afonso, André L. Furtado
Rocky Mountain J. Math. 50(3): 763-777 (June 2020). DOI: 10.1216/rmj.2020.50.763

Abstract

By applying a Mawhin continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence of a periodic solution for a class of impulsive neutral differential equations. The procedure adopted in this work makes use of a nonimpulsive associated equation in order to overcome the difficulties resulting from the moments of impulse effects.

Citation

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Suzete M. Afonso. André L. Furtado. "Existence of periodic solutions for a class of neutral differential equations with impulses." Rocky Mountain J. Math. 50 (3) 763 - 777, June 2020. https://doi.org/10.1216/rmj.2020.50.763

Information

Received: 8 November 2019; Accepted: 25 November 2019; Published: June 2020
First available in Project Euclid: 29 July 2020

zbMATH: 07235578
MathSciNet: MR4132608
Digital Object Identifier: 10.1216/rmj.2020.50.763

Subjects:
Primary: 34A37, 34B15, 34K45, 47H11

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 3 • June 2020
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