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Introduction to the Theory and Applications of Functional Differential Equations de V. Kolmanovskii

Introduction to the Theory and Applications of Functional Differential Equations: Mathematics and Its Applications, cartea 463

Autor V. Kolmanovskii, A. Myshkis
en Limba Engleză Hardback – 31 ian 1999

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Specificații

ISBN-13: 9780792355045
ISBN-10: 0792355040
Pagini: 648
Ilustrații: XVI, 648 p.
Dimensiuni: 155 x 235 x 37 mm
Greutate: 1.1 kg
Ediția:1999
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and Its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

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.