Countable systems of differential equations /
Samoĭlenko, A. M.
Countable systems of differential equations / A.M. Samoilenko and Yu. V. Teplinskii. - Utrecht ; Boston : VSP, 2003. - 1 online resource (viii, 287 pages)
Includes bibliographical references.
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 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 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
English.
9783110942033 (electronic bk.) 3110942038 (electronic bk.) (hd. bd.)
Differential equations.
Linear systems.
Invariant manifolds.
Équations différentielles.
Systèmes linéaires.
Variétés invariantes.
MATHEMATICS--Differential Equations--General.
Differential equations.
Invariant manifolds.
Linear systems.
Electronic books.
Electronic books.
QA372 / .S1615 2003eb
515/.35
Countable systems of differential equations / A.M. Samoilenko and Yu. V. Teplinskii. - Utrecht ; Boston : VSP, 2003. - 1 online resource (viii, 287 pages)
Includes bibliographical references.
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 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 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
English.
9783110942033 (electronic bk.) 3110942038 (electronic bk.) (hd. bd.)
Differential equations.
Linear systems.
Invariant manifolds.
Équations différentielles.
Systèmes linéaires.
Variétés invariantes.
MATHEMATICS--Differential Equations--General.
Differential equations.
Invariant manifolds.
Linear systems.
Electronic books.
Electronic books.
QA372 / .S1615 2003eb
515/.35