Ordinary Differential Equations And Boundary Value Problems - Volume I: Advanced Ordinary Differential Equations

Idioma: inglés

Editorial: World Scientific Publishing Co Pte Ltd, SG, 2018

9811221359 / 9789811221354

Serie: Libro 7 de 9 - Trends in Abstract and Applied Analysis

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Descripción del artículo del vendedor

The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book.The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well.Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems.Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs.

N° de ref. del artículo LU-9789811221354

Título
Ordinary Differential Equations And Boundary Value Problems - Volume I: Advanced Ordinary Differential Equations
Autor
Lingju Kong, John R Graef, Johnny Henderson, Xueyan Sherry Liu
Editorial
World Scientific Publishing Co Pte Ltd, SG
Año de publicación
2018
Estado
New
Encuadernación
Paperback
Idioma
inglés
ISBN 10
9811221359
ISBN 13
9789811221354
Serie
Libro 7 de 9: Trends in Abstract and Applied Analysis

Rarewaves.com UK

London, Reino Unido

Vendedor de 5 estrellas

Vendedor de AbeBooks desde 11 de junio de 2025

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Primer artículoEUR 75,99EUR 116,91
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