Abstract
In this chapter, we discuss the simplest possible differential difference equations; namely, linear equations with constant coefficients. For these equations, a rather complete theory can be developed using very elementary tools. The chapter serves as an introduction to the more general types of equations that will be encountered in later chapters. It also is intended to bring out the roles of the characteristic equation and the Laplace transform, and to emphasize some of the differences between retarded and neutral equations. Since ordinary differential equations and difference equations are special cases of the theory, we begin the discussion with the latter.
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© 1977 Springer-Verlag New York Inc.
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Hale, J.K. (1977). Linear differential difference equations. In: Theory of Functional Differential Equations. Applied Mathematical Sciences, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9892-2_2
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DOI: https://doi.org/10.1007/978-1-4612-9892-2_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9894-6
Online ISBN: 978-1-4612-9892-2
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