Impulsive Differential Equations

Periodic Solutions and Applications

; Pavel Simeonov

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. Les mer
Vår pris
928,-

(Paperback) Fri frakt!
Leveringstid: Sendes innen 21 dager
På grunn av Brexit-tilpasninger og tiltak for å begrense covid-19 kan det dessverre oppstå forsinket levering.

Paperback
Legg i
Paperback
Legg i
Vår pris: 928,-

(Paperback) Fri frakt!
Leveringstid: Sendes innen 21 dager
På grunn av Brexit-tilpasninger og tiltak for å begrense covid-19 kan det dessverre oppstå forsinket levering.

Om boka

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.

Fakta

Innholdsfortegnelse

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

Om forfatteren

Bainov, Drumi | Simeonov, Pavel