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Preliminaries and Basic Knowledge on Time Scales

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Theory of Translation Closedness for Time Scales

Part of the book series: Developments in Mathematics ((DEVM,volume 62))

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Abstract

A time scale is an arbitrary nonempty closed subset of the real numbers. The theory of time scales calculus is a powerful tool not only to unify continuous and discrete analysis but also to model various natural phenomena that occur on hybrid time domains. In this chapter, some necessary preliminaries and basic knowledge on time scales will be introduced to lay a foundation for the later chapters.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University, Kunming, Yunnan, China

    Chao Wang

  2. Department of Mathematics, Texas A&M University—Kingsville, Kingsville, TX, USA

    Ravi P. Agarwal

  3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

  4. Department of Applied Mathematics, Bharathiar University, Coimbatore, Tamil Nadu, India

    Rathinasamy Sakthivel

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  1. Chao Wang
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  2. Ravi P. Agarwal
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  3. Donal O’Regan
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  4. Rathinasamy Sakthivel
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Wang, C., Agarwal, R.P., O’Regan, D., Sakthivel, R. (2020). Preliminaries and Basic Knowledge on Time Scales. In: Theory of Translation Closedness for Time Scales . Developments in Mathematics, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-030-38644-3_1

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