Linear Difference Equations of Higher Order

  • Saber N. Elaydi
Part of the Undergraduate Texts in Mathematics book series (UTM)


In this chapter we examine linear difference equations of high order, namely, those involving a single dependent variable.1 Such 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 become acquainted with some of these applications in this chapter. We start this chapter by introducing some rudiments of difference calculus that are essential in the study of linear equations.


General Solution Difference Equation National Income Characteristic Root Fibonacci Sequence 


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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Saber N. Elaydi
    • 1
  1. 1.Department of MathematicsTrinity UniversitySan AntonioUSA

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