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040311s2003 ne ob 000 0 eng d |
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|a 9783110942033
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|z (OCoLC)1162506160
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|a UAMI
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|a Samoĭlenko, A. M.
|q (Anatoliĭ Mikhaĭlovich)
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|a Countable systems of differential equations /
|c A.M. Samoilenko and Yu. V. Teplinskii.
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|a Utrecht ;
|a Boston :
|b VSP,
|c 2003.
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300 |
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|a 1 online resource (viii, 287 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Includes bibliographical references.
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|a PREFACE -- 1. GENERAL CONCEPTS OF THE THEORY OF INFINITE SYSTEMS OF DIFFERENTIAL EQUATIONS -- 1.1. Theorems on Existence and Uniqueness of Solutions -- 1.2. Truncation Method -- 1.3. Solutions of the Linear System -- 1.4. Matrizant of a Linear System -- 1.5. Normal Autonomous Systems -- 1.6. Periodic Solutions -- 2. INVARIANT TORI -- 2.7. Green Function -- 2.8. Existence of a Smooth Invariant Torus -- 2.9. Cl-Differentiability of the Invariant Torus -- 2.10. The Case of Infinitely Many Angular Variables
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|a 2.11. Theorem on Convergence of the Sequence of Invariant Tori2.12. Invariant Tori of Nonlinear Systems -- 2.13. Exponential Attraction of Motions in a Neighborhood of the Invariant Torus of a System of Equations to Its Motions on the Torus -- 3. REDUCIBILITY OF LINEAR SYSTEMS -- 3.14. Erugin and Floquet�Lyapunov Theorems -- 3.15. Periodic Systems -- 3.16. Systems with Almost Periodic Coefficients -- 3.17. Quasiperiodic Systems with Unbounded Right-Hand Side -- 3.18. Decomposition of Countable Systems -- 4. IMPULSIVE SYSTEMS
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|a 4.19. Some Results of the Theory of Linear Systems4.20. Integral Sets and Invariant Tori -- 4.21. Periodic Solutions for Impulsive Systems with Small Parameter -- 4.22. Approximate Solution of the Periodic Problem of Control -- REFERENCES
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546 |
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|a English.
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Differential equations.
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650 |
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|a Linear systems.
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650 |
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|a Invariant manifolds.
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650 |
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|a Équations différentielles.
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|a Systèmes linéaires.
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|a Variétés invariantes.
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650 |
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|a MATHEMATICS
|x Differential Equations
|x General.
|2 bisacsh
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650 |
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|a Differential equations.
|2 fast
|0 (OCoLC)fst00893446
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650 |
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|a Invariant manifolds.
|2 fast
|0 (OCoLC)fst00977978
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|a Linear systems.
|2 fast
|0 (OCoLC)fst00999098
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|a Teplinskii, Yu. V.
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776 |
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|i Print version:
|a Samoĭlenko, A.M. (Anatoliĭ Mikhaĭlovich).
|t Countable systems of differential equations.
|d Utrecht ; Boston : VSP, 2003
|w (DLC) 2004297404
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856 |
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|u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=556855
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