Qualitative Theory Of Volterra Difference Equations

By (author) Raffoul, Youssef N.
Short description/annotation

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.

Description

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.  The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout.

This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.

Table of contents
Stability and Boundedness.- Functional Difference Equations.- Fixed Point Theory in Stability and Boundedness.- Periodic Solutions.- Population Dynamics.- Exponential and lp-Stability in Volterra Equations.
Review quote
“The book is well-written and the presentation is rigorous and very clear. This monograph is a great source for graduate students in mathematics and science and for all researchers interested in the qualitative theory of Volterra difference equations and functional difference equations.” (Rodica Luca, zbMATH 1402.39001, 2019)
Flap / cover copy

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.  The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout. 

This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.

Feature

Author is considered a leading researcher in the field of Volterra difference equations

Currently no other book of its kind on the market

Contains applications to real-world problems