Oscillation Theory for Neutral Differential Equations with Delay
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Product details:
- Edition number 1
- Publisher CRC Press
- Date of Publication 1 January 1991
- ISBN 9780750301428
- Binding Hardback
- No. of pages288 pages
- Size 234x156 mm
- Weight 612 g
- Language English 0
Categories
Short description:
This authoritative book fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, it provides a stimulus to research the oscillatory and asymptotic properties of these equations. The book examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology.
MoreLong description:
With neutral differential equations, any lack of smoothness in initial conditions is not damped and so they have proven to be difficult to solve. Until now, there has been little information to help with this problem.
Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations. It examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology.
This book is an important tool not only for mathematicians, but also for specialists in many fields including physicists, engineers, and biologists. It may be used as a graduate-level textbook or as a reference book for a wide range of subjects, from radiophysics to electrical and control engineering to biological science.
Table of Contents:
First order neutral ordinary differential equations. Second order neutral ordinary differential equations. Nth order neutral ordinary differential equations. Systems of ordinary differential equations of neutral type. Neutral partial differential equations.
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