Screen LibraryOscillation, nonoscillation, stability and asymptotic properties for second and higher order functional differential equations /
Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is...
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| Main Authors: | |
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| Group Author: | ; |
| Published: |
CRC Press,
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| Publisher Address: | Boca Raton : |
| Publication Dates: | [2020] |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Summary: |
Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on |
| Item Description: | "A Chapman & Hall book" -- Title Page. |
| Carrier Form: | xxiii, 589 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (pages 555-586) and index. |
| ISBN: |
9780367337544 (hardback) : 0367337541 (hardback) 9780429321689 (electronic book) 0429321686 (electronic book) 9781000048636 (electronic book) 1000048632 (electronic book) 9781000048551 (electronic book) 1000048551 (electronic book) |
| Index Number: | QA372 |
| CLC: | O175 |
| Call Number: | O175/B492 |
| Contents: | BiographyPrefaceIntroduction to Stability Methods. Stability: A priori Estimation Method. Stability: Reduction to a System of Equations. Stability: W-transform Method I. Stability: W-transform Method II. Exponential Stability for Equations with Positive and Negative Coeffcients. Connection Between Nonoscillation and Stability. Stabilization for Second Order Delay Models, Simple Delay Control.Stabilization by Delay Distributed Feedback Control. Wronskian of Neutral FDE and Sturm Separation Theorem. Vallee-Poussin Theorem for Delay and Neutral DE. Sturm Theorems and Distance between Adjacent Z |