Name: Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations (en Inglés)
SKU: 55638263
Price: 200.52 USD
Availability: InStock
Author: Leonid Berezansky; Alexander Domoshnitsky; Roman Koplatadze
ISBN: 9780367337544

portada Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations (en Inglés)

Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations (en Inglés)

Formato

Libro Físico

Editorial

Crc Pr Inc

Autor

Leonid Berezansky; Alexander Domoshnitsky; Roman Koplatadze

Idioma

Inglés

N° páginas

590

Encuadernación

Tapa Dura

ISBN13

9780367337544

N° edición

Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations (en Inglés)

Leonid Berezansky; Alexander Domoshnitsky; Roman Koplatadze (Autor) · Crc Pr Inc · Tapa Dura

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Reseña del libro "Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations (en Inglés)"

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 the authors' results in the last decade.Features: Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other. The first systematic description of stability methods based on the Bohl-Perron theorem. Simple and explicit exponential stability tests. In this book, various types of functional differential equations are considered: second and higher orders delay differential equations with measurable coefficients and delays, integro-differential equations, neutral equations, and operator equations. Oscillation/nonoscillation, existence of unbounded solutions, instability, special asymptotic behavior, positivity, exponential stability and stabilization of functional differential equations are studied. New methods for the study of exponential stability are proposed. Noted among them inlcude the W-transform (right regularization), a priory estimation of solutions, maximum principles, differential and integral inequalities, matrix inequality method, and reduction to a system of equations.The book can be used by applied mathematicians and as a basis for a course on stability of functional differential equations for graduate students.