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Introduction to the Theory and Applications of Functional Differential Equations
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Introduction to the Theory and Applications of Functional Differential Equations ([EBook]) / by V. Kolmanovskii, A. Myshkis.
Author
Kolmanovskii, Vladimir Borisovich
Added Personal Name
Myshkis, Anatolii Dmitrievich
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : Springer Netherlands , 1999.
Physical Details
XVI, 648 pages : online resource.
Series
Mathematics and its applications
; 463
ISBN
9789401719650
Contents note
I. Modelling by Functional Differential Equations -- 1. Theoretical preliminaries -- 2. Models -- II. Theoretical Background of Functional Differential Equations -- 3. General theory -- III. Stability -- 4. Stability of retarded differential equations -- 5. Stability of RDEs with autonomous linear part -- 6. Liapunov functionals for concrete FDEs -- 7. Riccati type stability conditions of some linear systems with delay -- 8. Stability of neutral type functional differential equations -- 9. Application of the direct Liapunov method -- 10. Stability of stochastic functional differential equations -- IV. Boundary Value Problems and Periodic Solutions of Differential Equations -- 11. Boundary value problems for functional differential equations -- 12. Fredholm alternative for periodic solutions of linear FDEs -- 13. Generalized periodic solutions of Functional Differential Equations -- V. Control and Estimation in Hereditary Systems -- 14. Problems of control for deterministic FDEs -- 15. Optimal control of stochastic delay systems -- 16. State estimates of stochastic systems with delay.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-017-1965-0
Links to Related Works
Subject References:
Analysis (Mathematics)
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Applied mathematics
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Difference equations
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Engineering mathematics
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Functional differential equations
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Functional equations
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Mathematical analysis
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Mathematical Modeling and Industrial Mathematics
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System theory
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Authors:
author
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Kolmanovskii, Vladimir Borisovich
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Myshkis, Anatolii Dmitrievich
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications
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Classification:
515
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