 |
|
|
Item Details
| Title:
|
FUNCTIONAL DIFFERENTIAL EQUATIONS
APPLICATION OF I-SMOOTH CALCULUS |
| By: |
A. V. Kim |
| Format: |
Paperback |
| List price:
|
£117.00 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
9048152119 |
| ISBN 13: |
9789048152117 |
| Publisher: |
SPRINGER |
| Pub. date: |
5 December, 2010 |
| Edition: |
Softcover reprint of the original 1st ed. 1999 |
| Series: |
Mathematics and Its Applications 479 |
| Pages: |
168 |
| Synopsis: |
Beginning with the works of N.N.Krasovskii [81, 82, 83], which clari- fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system theory have been developed with almost the same completeness as the corresponding field of ODE (ordinary differential equations) the- ory. The term functional differential equations (FDE) is used as a syn- onym for systems with delays 1. The systematic presentation of these re- sults and further references can be found in a number of excellent books [2, 15, 22, 32, 34, 38, 41, 45, 50, 52, 77, 78, 81, 93, 102, 128]. In this monograph we present basic facts of i-smooth calculus ~ a new differential calculus of nonlinear functionals, based on the notion of the invariant derivative, and some of its applications to the qualitative theory of functional differential equations. Utilization of the new calculus is the main distinction of this book from other books devoted to FDE theory. Two other distinguishing features of the volume are the following: - the central concept that we use is the separation of finite dimensional and infinite dimensional components in the structures of FDE and functionals; - we use the conditional representation of functional differential equa- tions, which is convenient for application of methods and constructions of i~smooth calculus to FDE theory. |
| Illustrations: |
XV, 168 p. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|