Volterra Integral and Differential Equations is popular PDF and ePub book, written by Ted A. Burton in 2005-04-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Volterra Integral and Differential Equations can be Read Online from any device for your convenience.
Volterra Integral and Differential Equations Book PDF Summary
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. 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
Detail Book of Volterra Integral and Differential Equations PDF
- Author : Ted A. Burton
- Release : 01 April 2005
- Publisher : Elsevier
- ISBN : 9780080459554
- Genre : Mathematics
- Total Page : 369 pages
- Language : English
- PDF File Size : 21,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Volterra Integral and Differential Equations by Ted A. Burton, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.