This book addresses differential and difference equations, rooted in applied fields like celestial mechanics and fluid dynamics. With the rise of computers, it revisits these applications in a mature way. The authors provide a resource that balances accessibility and textbook usability, filling a gap in existing literature.
The book offers a comprehensive theory of functional differential equations, building on previous lecture notes while incorporating significant recent advancements. It includes new chapters on linear differential difference equations, dissipative systems, perturbed systems, and periodic solutions of autonomous equations. Additionally, it emphasizes neutral equations and introduces global and generic theory. Key revisions enhance the discussions on solution properties, stability, and behavior near periodic orbits, alongside an appendix on characteristic polynomial zeros.
State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications