Differential Equations

Authors: Viorel Barbu



Presents fundamental topics of ordinary differential equations in a compact volume

Provides numerous examples and exercises

Includes extra material on special topics in analysis and topology in an added appendix

This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner.

Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations.

Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.

Table of contents

Front Matter
Pages i-xi

Introduction
Pages 1-28

Existence and Uniqueness for the Cauchy Problem
Pages 29-77

Systems of Linear Differential Equations
Pages 79-121

Stability Theory
Pages 123-159

Prime Integrals and First-Order Partial Differential Equations
Pages 161-199

Back Matter
Pages 201-224

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