Abstract
Differential equations with periodically varying coefficients appear in a number of forms, some of which are known by specific names. In this chapter these forms are identified and the general conventions adopted in this book are outlined. Whilst some are expanded upon in later chapters, the essential properties of the equations are also summarised, particularly those of importance in practical applications.
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References for Chapter 2
McLachlan, N. W.: Theory and application of Mathieu functions. Clarendon: Oxford U. P. 1947. Reprinted by Dover, New York 1964
Magnus, W.; Winkler, S.: Hill’s equation. New York: Wiley 1966
Arscott, F. M.: Periodic differential equations. Oxford: Pergamon 1964
D’Angelo, H.: Linear time-varying systems: Analysis and synthesis. Boston: Allyn & Bacon 1970
Yakubovich, V. A.; Starzhinskii, V. M.: Linear differential equations with periodic coefficients, Vol. 1 and 2. New York: Wiley 1975. (Translation from Russian)
Keenan, R. K.: An investigation into some problems in periodically parametric systems. PhD Thesis, Monash University Melbourne 1966
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© 1983 Springer-Verlag Berlin, Heidelberg
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Richards, J.A. (1983). The Equations and Their Properties. In: Analysis of Periodically Time-Varying Systems. Communications and Control Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81873-8_2
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DOI: https://doi.org/10.1007/978-3-642-81873-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81875-2
Online ISBN: 978-3-642-81873-8
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