Nonoscillation and Oscillation Theory for Functional Differential Equations pdf
Nonoscillation and Oscillation Theory for Functional Differential Equations pdf : 382
By Ravi P. Agarwal, Martin Bohner and Wan-Tong Li
Series: Pure and Applied Mathematics
Publisher: CRC Press, Year: 2004
Agarwal (mathematics, Florida Institute of Technology), Bohner (mathematics, U. of Missouri-Rolla) and Li (mathematics, Lanzhou U.) examine the qualitative theory of differential equations with or without delays. After an introductory chapter, the authors focus on first order delay and neutral differential equations, second order ordinary and delay differential equations, higher order delay differential equations, systems of nonlinear differential equations, and oscillation of dynamic equations on time scales. Although intended for graduate students and researchers in mathematics, physics engineering, and biology, mathematicians working in advanced time scale theory will also find this a useful reference.
There are eight chapters in this book. After the preliminaries in Chapter 1, we present oscillatory and nonoscillatory properties of first order delay differential equations and first order neutral delay differential equations in Chapters 2 and 3, respectively. Classification schemes and existence of positive solutions of neutral delay differential equations with variable coefficients are also considered. In Chapter 4, oscillation and nonoscillation of second order nonlinear differential equations without delays is investigated. Chapter 5 is devoted to classification schemes and existence of positive solutions of second order delay differential equations with or without neutral terms. Nonoscillation and oscillation of higher order delay differential equations is considered in Chapter 6. Chapter 7 features oscillation and
nonoscillation for two-dimensional systems of nonlinear differential equations. Finally, in Chapter 8, we give some first results on the oscillation of dynamic equations
on time scales.