Most mathematicians, engineers, and many other scientists are
well-acquainted with theory and application of ordinary
differential equations. This book seeks to present Volterra
integral and functional differential equations in that same
framwork, allowing the readers to parlay their knowledge of
ordinary differential equations into theory and application of the
more general problems. Thus, the presentation starts slowly with
very familiar concepts and shows how these are generalized in a
natural way to problems involving a memory. Liapunov's direct
method is gently introduced and applied to many particular examples
in ordinary differential equations, Volterra integro-differential
equations, and functional differential equations.
By Chapter 7 the momentum has built until we are looking at
problems on the frontier. Chapter 7 is entirely new, dealing with
fundamental problems of the resolvent, Floquet theory, and total
stability. Chapter 8 presents a solid foundation for the theory of
functional differential equations. Many recent results on stability
and periodic solutions of functional differential equations are
given and unsolved problems are stated.
Key Features:
- Smooth transition from ordinary differential equations to
integral and functional differential equations.
- Unification of the theories, methods, and applications of
ordinary and functional differential equations.
- Large collection of examples of Liapunov functions.
- Description of the history of stability theory leading up to
unsolved problems.
- Applications of the resolvent to stability and periodic
problems.
1. Smooth transition from ordinary differential equations to
integral and functional differential equations.
2. Unification of the theories, methods, and applications of
ordinary and functional differential equations.
3. Large collection of examples of Liapunov functions.
4. Description of the history of stability theory leading up to
unsolved problems.
5. Applications of the resolvent to stability and periodic
problems.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
