Countable Systems of Differential Equations

Author: Anatolii M. Samoilenko   Yu. V. Teplinskii  

Publisher: De Gruyter‎

Publication year: 2003

E-ISBN: 9783110942033

P-ISBN(Paperback): 9789067643931

Subject: O175 differential equations, integral equations

Language: ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Chapter

PREFACE

pp.:  1 – 7

1.2. Truncation Method

pp.:  9 – 19

1.5. Normal Autonomous Systems

pp.:  28 – 35

1.6. Periodic Solutions

pp.:  35 – 40

2. INVARIANT TORI

pp.:  40 – 57

2.7. Green Function

pp.:  57 – 57

2.8. Existence of a Smooth Invariant Torus

pp.:  57 – 76

2.9. Cl-Differentiability of the Invariant Torus

pp.:  76 – 83

2.10. The Case of Infinitely Many Angular Variables

pp.:  83 – 107

2.11. Theorem on Convergence of the Sequence of Invariant Tori

pp.:  107 – 123

2.12. Invariant Tori of Nonlinear Systems

pp.:  123 – 127

2.13. Exponential Attraction of Motions in a Neighborhood of the Invariant Torus of a System of Equations to Its Motions on the Torus

pp.:  127 – 141

3. REDUCIBILITY OF LINEAR SYSTEMS

pp.:  141 – 159

3.15. Periodic Systems

pp.:  159 – 163

3.14. Erugin and Floquet–Lyapunov Theorems

pp.:  159 – 159

3.16. Systems with Almost Periodic Coefficients

pp.:  163 – 171

3.17. Quasiperiodic Systems with Unbounded Right-Hand Side

pp.:  171 – 183

3.18. Decomposition of Countable Systems

pp.:  183 – 197

4. IMPULSIVE SYSTEMS

pp.:  197 – 205

4.20. Integral Sets and Invariant Tori

pp.:  205 – 215

4.19. Some Results of the Theory of Linear Systems

pp.:  205 – 205

4.21. Periodic Solutions for Impulsive Systems with Small Parameter

pp.:  215 – 239

4.22. Approximate Solution of the Periodic Problem of Control

pp.:  239 – 260

REFERENCES

pp.:  260 – 279

LastPages

pp.:  279 – 297

The users who browse this book also browse


No browse record.