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Existence of Periodic Solutions for First Order Differential Equations with Applications

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Mathematics Applied to Engineering, Modelling, and Social Issues

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 200))

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Abstract

In this chapter, by using a fixed point theorem in cones in a Banach space, we present different sufficient conditions for the existence of at least two positive periodic solutions of first order functional differential equations. The results, presented in this chapter, are then applied to the Nicholson’s Blowflies model and the generalized Michaelis-Menton type single species growth model.

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Acknowledgements

The author is thankful to the referees for their helpful suggestions and constructions in improving the chapter to the present form.

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Authors and Affiliations

  1. Department of Mathematics, Amity School of Engineering and Technology, Amity University Jharkhand, Ranchi, 834002, Jharkhand, India

    Smita Pati

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  1. Smita Pati
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Correspondence to Smita Pati .

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Editors and Affiliations

  1. Department of Mathematics, University College London, London, UK

    Frank T. Smith

  2. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  3. Department of Mathematics, Center for Mathematics of Uncertainty, Creighton University, Omaha, NE, USA

    John N. Mordeson

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Pati, S. (2019). Existence of Periodic Solutions for First Order Differential Equations with Applications. In: Smith, F.T., Dutta, H., Mordeson, J.N. (eds) Mathematics Applied to Engineering, Modelling, and Social Issues. Studies in Systems, Decision and Control, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-030-12232-4_11

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  • DOI: https://doi.org/10.1007/978-3-030-12232-4_11

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  • Online ISBN: 978-3-030-12232-4

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