Differential Equations / by Viorel Barbu.

Format:

Book

Author/Creator:

Barbu, Viorel., Author.

Series:

Springer Undergraduate Mathematics Series, 1615-2085

Language:

English

Subjects (All):

Differential equations.

System theory.

Differential equations, Partial.

Ordinary Differential Equations.

Systems Theory, Control.

Partial Differential Equations.

Local Subjects:

Ordinary Differential Equations.

Systems Theory, Control.

Partial Differential Equations.

Physical Description:

1 online resource (XI, 224 p. 16 illus.)

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2016.

Summary:

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.

Contents:

Introduction

Existence and uniqueness for the Cauchy problem

Systems of linear differential equations

Stability theory

Prime integrals and first-order partial differential equations.

Notes:

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-45261-4

OCLC:

1052421206