Oscillation, nonoscillation, stability and asymptotic properties for second and higher order functional differential equations. (2020)

• Record Type: Book
• Further Information: Note: Alexander Domoshnitsky, Leonid Berezansky, Roman Koplatadze.
• Authors: Domoshnitsky, Alexander; Berezansky, Leonid; Koplatadze, Roman
• Contents: Biography; Preface; Introduction 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 Zeros; Unbounded Solutions and Instability of Second Order DDE; Upper and Lower Estimates of Distances Between Zeros and Floquet Theory for Second Order DDE. Distribution of Zeros and Unboundedness of Solutions to Partial DDE; Second Order Equations: Oscillation and Boundary Value Problems; Stability of Third Order DDE; Operator Differential Equations; Properties A and B of Equations with a Linear Minorant; On Kneser-Type Solutions; Monotonically Increasing Solutions; Specific Properties of FDE; A Useful Theorems from Analysis; B Functional-differential Equations; Bibliography; Index
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 515.35; Functional differential equations
• Languages: English
• ISBNs: 9781000048636; 9781000048551; 9780429321689
• Related ISBNs: 9780367337544
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.