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E-book

Title Nonoscillation theory of functional differential equations with applications / Ravi P. Agarwal [and others]
Published New York : Springer, ©2012

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Description 1 online resource (xv, 520 pages)
Contents Introduction to Oscillation Theory -- Scalar Delay Differential Equations on Semiaxes -- Scalar Delay Differential Equations on Semiaxis with Positive and Negative Coefficients -- Oscillation of Equations with Distributed Delays -- Scalar Advanced and Mixed Differential Equations on Semiaxes -- Neutral Differential Equations -- Second-Order Delay Differential Equations -- Second-Order Delay Differential Equations with Damping Terms -- Vector Delay Differential Equations -- Linearization Methods for Nonlinear Equations with a Distributed Delay -- Nonlinear Models-Modifications of Delay Logistic Equations -- First-Order Linear Delay Impulsive Differential Equations -- Second-Order Linear Delay Impulsive Differential Equations -- Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations -- Maximum Principles and Nonoscillation Intervals -- Systems of Functional Differential Equations on Finite Intervals -- Nonoscillation Intervals for n-th-Order Equations
Summary This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, ¡equations with variable types of delays and¡equations with variable deviations of the argument.¡Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional¡Differential Equations¡with Applications¡is addressed to a wide audience of¡researchers in mathematics and practitioners. ¡ ¡ ¡
Analysis Mathematics
Functional analysis
Differential equations, partial
Functions, special
Partial Differential Equations
Special Functions
wiskunde
functionaalanalyse
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references (pages 503-516) and index
Subject Functional differential equations -- Oscillation theory.
Mathematics -- methods
MATHEMATICS -- Differential Equations -- General.
Ecuaciones en derivadas parciales
Functional differential equations -- Oscillation theory
Form Electronic book
Author Agarwal, Ravi P.
ISBN 9781461434559
1461434556
1461434548
9781461434542