Qualitative Theory of Volterra Difference Equations

ISBN-13: 9783319971896 / Angielski / Twarda / 2018 / 324 str.

Youssef N. Raffoul

Opis

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

Recenzje

"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)

Spis treści

Stability and Boundedness.- Functional Difference Equations.- Fixed Point Theory in Stability and Boundedness.- Periodic Solutions.- Population Dynamics.- Exponential and lp-Stability in Volterra Equations.

Blurb

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.