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Difference Equations and Applications

  • 1st Edition - January 1, 2025
  • Language: English
  • Paperback ISBN:
    9 7 8 - 0 - 4 4 3 - 3 1 4 9 2 - 6
  • eBook ISBN:
    9 7 8 - 0 - 4 4 3 - 3 1 4 9 3 - 3

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The textbook deliberately pr… Read more

Difference Equations and Applications

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Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The textbook deliberately presents difficult material in an accessible manner by utilizing friendly notations and multiple examples. The book begins with extensive coverage of the calculus of difference equations. It includes contemporary topics on l_p stability, exponential stability, and parameters that can be used to qualitatively study solutions to non-linear difference equations. The book begins by discussing the calculus of normal and linear difference equations, including variations of parameters and equations with constant coefficients, before moving on to the Z-Transform and its various functions, scalings, and applications. It covers systems, Lyapunov functions, and stability, a subject rarely covered in competitor titles, before concluding with a comprehensive section on new variations of parameters. Exercises are provided after each section, ranging from easy to a medium level of difficulty, and, when finished, students are set up to conduct meaningful research in discrete dynamical systems. 

In summary, the book appears to be a comprehensive resource that delves into the mathematical theory of difference equations while highlighting their practical applications in various dynamic systems. It is highly likely to be of interest to students, researchers, and professionals in fields where discrete modeling and analysis are essential.