Nonoscillation Theory of Functional Differential Equations with Applications 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. . 1. Introduction to Oscillation Theory 2. Scalar Delay Differential Equations on Semiaxes 3. Scalar Delay Differential Equations on Semiaxis with Positive and Negative Coefficients 4. Oscillation of Equations with a Distributed Delay 5. Scalar Advanced and Mixed Differential Equations on Semiaxes 6. Neutral Differential Equations 7. Second Order Delay Differential Equations 8. Second Order Delay Differential Equations with Damping Terms 9. Vector Delay Differential Equations 10. Linearized Methods for Nonlinear Equations with a Distributed Delay 11. Nonlinear Models Modifications of Delay Logistic Equations 12. First Order Linear Delay Impulsive Differential Equation 13. Second Order Linear Delay Impulsive Differential Equations 14. Linearized Oscillation Theory for Nonlinear Delay Impulsive Equations 15. Maximum Principles and Nonoscillation Intervals for First Order Volterra Functional Differential Equations 16. Systems of Functional Differential Equations on Finite Intervals 17. Nonoscillation Interval for n th Order Functional Differential Equations Appendix A Appendix B.