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Linear Difference Equations of Higher Order

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An Introduction to Difference Equations

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

In this chapter we examine linear difference equations of high order, namely, those involving a single dependent variable1. Those equations arise in almost every field of scientific inquiry, from population dynamics (the study of a single species) to economics (the study of a single commodity) to physics (the study of the motion of a single body). We will be acquainted with some of these applications in this chapter. We start this chapter by introducing some rudiments of difference calculus which are essential in the study of linear equations.

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References

  1. L. Edelstein-Keshet, Mathematical Models in Biology, Random House, New York, 1988.

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  2. S. Goldberg, Introduction to Difference Equations, Dover, New York, 1986.

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  3. P.A. Samuelson, “Interactions Between the Multiplier Analysis and the Principle of Acceleration,” Rev. Econom. Stat., 21 (1939), 75–78

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  4. P.A. Samuelson, Readings in Business Cycle Theory, Blakiston Co., Philadelphia, 1944.

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  5. C.E. Shannon and W. Weaver, The Mathematical Theory of Communication, University of Illinois, Urbana, 1949, pp. 7–8.

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Bibliography

  • R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 1992.

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  • V. Lakshmikantham and D. Trigiante, Theory of Difference Equations: Numerical Methods and Applications, Academic, New York, 1988.

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  • R. Mickens, Difference Equations, Van Nostrand, Reinhold, New York, 1990.

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  • K.S. Miller, Linear Difference Equations, W.A. Benjamin, New York, 1968.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Trinity University, 78212-7200, San Antonio, TX, USA

    Saber N. Elaydi

Authors
  1. Saber N. Elaydi
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© 1996 Springer Science+Business Media New York

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Elaydi, S.N. (1996). Linear Difference Equations of Higher Order. In: An Introduction to Difference Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-9168-6_2

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  • DOI: https://doi.org/10.1007/978-1-4757-9168-6_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-9170-9

  • Online ISBN: 978-1-4757-9168-6

  • eBook Packages: Springer Book Archive

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