Nonoscillation Theory of Functional Differential Equations with Applications

• 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. ​

From the reviews: "We strongly recommend the monograph for applied mathematicians, researchers in different field of engineering and graduate students planning their further study in the field of functional differential equations. ... The book is well organized, easy to read; senior undergraduate students will be able to follow the proofs and explanations. The monograph could be one of the basic handbooks consulted for studying and understanding functional differential equations and their oscillation theory." (Haydar Akca, Zentralblatt MATH, Vol. 1253, 2013) "The book under review complements the theory of delay equations by mainly focusing on nonoscillation, and its relation with stability, boundary value problems, and some other close subjects. It is completely self-contained. ... This book is a useful and good reference for researchers in qualitative theory of ordinary differential equations ... . It can also be useful as a textbook or to initiate research in the subject." (Basak Karpuz, Mathematical Reviews, January, 2013)