Generalized Ordinary Differential Equations: Not Absolutely Continuous Solutions

Publisher:

World Scientific

Publication Date:

2012

Number of Pages:

195

Format:

Hardcover

Series:

Series in Real Analysis 11

Price:

68.00

ISBN:

9789814324021

Category:

Monograph

We do not plan to review this book.

Introduction
Kapitza's Pendulum and a Related Problem
Elementary Methods: Averaging
Elementary Methods: Internal Resonance
Strong Riemann-Integration of Functions of a Pair of Coupled Variables
Generalized Ordinary Differential Equations: Strong Riemann-Solutions (Concepts)
Functions ψ₁, ψ₂
Strong Riemann-Solutions of Generalized Differential Equations: A Survey
Approximate Solutions: Boundedness
Approximate Solutions: A Lipschitz Condition
Approximate Solutions: Convergence
Solutions
Continuous Dependence
Strong Kurzweil Henstock-Integration of Functions of a Pair of Coupled Variables
Generalized Differential Equations: Strong Kurzweil Henstock-Solutions
Uniqueness
Differential Equations in Classical Form
On a Class of Differential Equations in Classical Form
Integration and Strong Integration
A Class of Strong Kurzweil Henstock-Integrable Functions
Integration by Parts
A Variant of Gronwall Inequality
Existence of Solutions of a Class of Generalized Ordinary Differential Equations
A Convergence Process as a Source of Discontinuities in the Theory of Differential Eequations
A Class of Strong Riemann-Integrable Functions
On Equality of Two Integrals
A Class of Generalized Ordinary Differential Equations with a Restricted Right Hand Side