1st Edition
Impulsive Differential Equations Periodic Solutions and Applications
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.
Preface
Notation
Preliminary Notes
Impulsive differential equations
Auxiliary assertions
Notes and comments for Chapter I
Linear Impulsive Periodic Equations
Linear homogeneous periodic equations
Linear non-homogeneous impulsive equations
Notes and comments for Chapter II
Method of the Small Parameter. Non-critical Case
Quasilinear equations with fixed moments of an impulsive effect
Non-linear equations with unfixed moments of an impulse effect
Non-linear autonomous equations
Notes and comments for Chapter III
Method of the Small Parameter. Critical Case
Quasilinear equations with fixed moments of an impulse effect
Quasilinear equations with unfixed moments of an impulse effect
Autonomous quasilinear equations
Notes and comments for Chapter IV
Non-linear Periodic Impulsive Equations
The monodromy operator and existence of periodic solutions
Method of upper and lower solutions
Periodic value problem for a second-order impulsive equation
Notes and comments for Chapter V
Approximate Analytical Methods for Finding Periodic Solutions
Monotone-iterative technique for finding periodic solutions
Numerical-analytical method for finding periodic solutions
Method of bilateral approximations for finding periodic solutions
Method of boundary functions
Notes and comments for Chapter VI
Refrences
Author index
Subject index
Biography
Bainov, Drumi | Simeonov, Pavel
