发帖
雷达卡
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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