Qualitative Studies Of Scalars And Systems Of Difference Equations
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Qualitative Studies of Scalars and Systems of Difference Equations
Author: Elsayed M. Elsayed
language: en
Publisher: LAP Lambert Academic Publishing
Release Date: 2012
The authors interested in studying the qualitative behavior (such as: local stability - global stability - periodic nature - boundedness - semi cycles analysis - oscillation - how to find the analytical forms of the solutions, etc... ) for some nonlinear difference equations and systems of difference equations as well as provide and structure mathematical models in various fields of life.
Qualitative Theory of Volterra Difference Equations
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.
An Introduction to Difference Equations
Author: Saber Elaydi
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-03-29
A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style