Georgiev S.G. Foundations of Iso-Differential Calculus (vol. 4). Iso-Dynamic Equations

Nova Science Publishers, Inc., 2015. — 271 p.This book is intended for readers who have had a course in difference equations, isodifferential calculus and it can be used for a senior undergraduate course.
Chapter 1 deals with the linear first-order iso-difference equations, equilibrium points, eventually equilibrium points, periodic points and cycles.
In Chapter 2 are introduced the iso-difference calculus and the general theory of the linear homogeneous and nonhomogeneous iso-difference equations.
In Chapter 3 are studied the systems of linear iso-difference equations and the linear periodic systems.
Chapter 4 is devoted to the stability theory. They are considered the nonautonomous linear systems, Lyapunov’s direct method, stability by linear approximation.
In Chapter 5 is considered the oscillation theory. They are defined the iso-self-adjoint second-order iso-difference equations and they are given some of their properties. They are considered some classes nonlinear iso-difference equations.
In Chapter 6 is studied the asymptotic behavior of some classes iso-difference equations. Time scales iso-calculus is introduced in Chapter 7. They are given the main properties of the backward and forward jump iso-operators. They are considered the isodifferentiation and iso-integration. They are introduced the iso-Hilger’s complex plane and the iso-exponential function