Oscillation Theory for Functional Differential Equations
Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. The book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations.
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Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. The book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations. Booknews Shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations, exploring in detail such topics as the existence of oscillatory solutions, estimates of the distance between zeros, asymptotic classification of nonoscillatory solutions, the oscillation of equations with nonlinear neutral terms, and boundary value problems for both singular and nonsingular functional differential equations of second order and equations of nth order. Intended for mathematicians and engineers, and upper-level undergraduate and graduate students. Annotation c. Book News, Inc., Portland, OR (booknews.com)
PrefaceCh. 1Preliminaries1Ch. 2Oscillations of First Order Delay Differential Equations14Ch. 3Oscillation of First Order Neutral Differential Equations95Ch. 4Oscillation and Nonoscillation of Second Order Differential Equations with Deviating Arguments202Ch. 5Oscillation of Higher Order Neutral Differential Equations288Ch. 6Oscillation of Systems of Neutral Differential Equations374Ch. 7Boundary Value Problems for Second Order Functional Differential Equations414References465Index481
\ BooknewsShows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations, exploring in detail such topics as the existence of oscillatory solutions, estimates of the distance between zeros, asymptotic classification of nonoscillatory solutions, the oscillation of equations with nonlinear neutral terms, and boundary value problems for both singular and nonsingular functional differential equations of second order and equations of nth order. Intended for mathematicians and engineers, and upper-level undergraduate and graduate students. Annotation c. Book News, Inc., Portland, OR (booknews.com)\ \
