Account Information

bundle-connector

config

zone2

footer-menu

Academic Institutions

K-12

Public Libraries

Government and Special Libraries

Statewide Programs

Institutions

Databases

Primary Sources

Digital Humanities Tools

eLearning

Schools/K-12 Curriculum

Books

Large Print Books by Thorndike Press

Products

Find Your Rep

Product Support

Technical Support

Customer Support

Admin Tools

Accessibility Policy

Support

About Us

Blogs

Press Center

Events

News

Careers

Partnerships

Contact Us

Our Company

Would you like to go to the Gale {{RECOMMENDED_COUNTRY}} site instead?

It looks like you're visiting from {{DETECTED_COUNTRY}}.

main

secondary-account-menu

products

container

secondary-storefront-menu

Marketing materials, training documents, discovery services

cengage:card

FIND YOUR SALES REPRESENTATIVE

cengage:column

Get marketing materials, training documents, discovery services.

PRODUCT SUPPORT

CUSTOMER SUPPORT

Report technical issues, errors, check system status

TECHNICAL SUPPORT

Manage product preferences, generate usage reports, simplify administrative tasks.

ADMIN TOOLS

support

header-component

cengage:galethorndikeseo

header

%1 products have been added to your cart but %2 have been backordered and will be fulfilled when stock is available

Product on backorder

Current quantity limit is [maxProductQuantity], please, navigate to the cart page and change quantity of product

You will be able to resubmit promo in ${countdown} seconds. test

Please note that the taxes displayed on our website are estimated and subject to adjustment. The actual tax charges will be determined and settled during the final invoicing of your order

product-detail-component

footer-social-menu-component

secondary-primary-menu

Request a Trial

single-column

zone3

footer-legal-menu

Terms of use

Privacy

mega-menu

Browse by Institution Type

Browse by Product Type

gale-footer

footer-menu-component

FIND YOUR REP

support-order-2

footer-social-menu

Sign Up for Emails

CONNECT WITH GALE

Stay up-to-date with the latest Gale news, exclusive offers, and more.

facebook

linkedin

instagram

youtube

SOCIAL ICONS

International

North America

China

Japan

Latin America

Brazil

Region

Set your region:

zone1

footer-legal-menu-component

You may already have access to Gale content through your institution.

STUDENTS AND RESEARCHERS

support-order-1

Profile

Orders

Wish List

Fast Order Entry

My Account

footer

Stability of Vector Differential Delay Equations

FM: STABILITY OF VECTOR DIFFERENTIAL DELAY EQUATIONS

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

Differential equations with delay naturally arise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction of species, microbiology, learning models, epidemiology, physiology, and many others. This book systematically investigates the stability of linear as well as nonlinear vector differential equations with delay and equations with causal mappings. It presents explicit conditions for exponential, absolute and input-to-state stabilities. These stability conditions are mainly formulated in terms of the determinants and eigenvalues of auxiliary matrices dependent on a parameter; the suggested approach allows us to apply the well-known results of the theory of matrices. In addition, solution estimates for the considered equations are established which provide the bounds for regions of attraction of steady states.    The main methodology presented in the book is based on a combined usage of the recent norm estimates for matrix-valued functions and the following methods and results: the generalized Bohl-Perron principle and the integral version of the generalized Bohl-Perron principle; the freezing method; the positivity of fundamental solutions. A significant part of the book is devoted to  the Aizerman-Myshkis problem and  generalized Hill theory of periodic systems.    The book is intended not only for specialists in the theory of functional differential equations and control theory, but also for anyone with a sound mathematical background interested in their various applications.

POST SECONDARY FOUR YEAR

COLFR

COLSO

COLJR

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Other Frontmatter.
Frontiers in Mathematics.
Title Page.
Copyright Page.
Contents.
Preface.
1: Preliminaries.
2: Some Results of the Matrix Theory.
3: General Linear Systems.
4: Time-Invariant Linear Systems with Delay.
5: Properties of Characteristic Values.
6: Equations Close to Autonomous and Ordinary Dierential Ones.
7: Periodic Systems.
8: Linear Equations with Oscillating Coefficients.
9: Linear Equations with Slowly Varying Coefficients.
10: Nonlinear Vector Equations.
11: Scalar Nonlinear Equations.
12: Forced Oscillations in Vector Semi-Linear Equations.
13: Steady States of Differential Delay Equations.
14: Multiplicative Representations of Solutions.
The General Form of Causal Operators.
Infinite Block Matrices.
Bibliography.
Index.

Stability of Vector Differential Delay Equations.css-1p8rvzy{position:absolute;padding-left:8px;}

Stability of Vector Differential Delay Equations