سمپوزیوم بین‌المللی معادلات دیفرانسیل غیرخطی و مکانیک غیرخطی ۲۰۱۲
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics 2012

1. Cover image

2. Title page

3. Table of Contents

4. Copyright

5. Contributors

6. Preface

7. Chapter 1: The Method of Integral Manifolds in the Theory of Nonlinear Oscillations

8. Chapter 2: Sur un Théorème de Seifert sur les Trajectoires Fermées de Certains Champs de Vecteurs

9. Chapter 3: Generic Properties of Differential Equations

10. Chapter 4: The Density Theorem for Structurally Stable Systems on a Two Dimensional Manifold

11. Chapter 5: Beurteilung Nichtlinearer Systeme auf der Grundlage der Strukturstabilität

12. Chapter 6: Periodic Solutions of Hyperbolic Partial Differential Equations

13. Chapter 7: Coupling in Certain Classes of Weakly Nonlinear Vibrating Systems

14. Chapter 8: Perturbation Theory for Almost Periodic Solutions for Undamped Nonlinear Differential Equations

15. Chapter 9: Asymptotic System of a Perturbed System

16. Chapter 10: On Some New Long Periodic Solutions of The Plane Restricted Three Body Problem

17. Chapter 11: Continuous Groups and Autosynartetic Solutions

18. Chapter 12: Autosynartetic Families of Solutions

19. Chapter 13: Periodic Functions Generated as Solutions of Nonlinear Differential-Difference Equations

20. Chapter 14: Uniformly Valid Asymptotic Approximations for Certain Non-Linear Differential Equations

21. Chapter 15: New Directions of Research in the Theory of Differential Equations

22. Chapter 16: Some Aspects of Quasilinearization

23. Chapter 17: On the Differential Equations of Electrical Circuits and the Global Nature of the Solutions

24. Chapter 18: Differential — Difference Equations

25. Chapter 19: Transport Theory, Invariant Imbedding, and Two-Point Boundary Value Problems

26. Chapter 20: Numerical Study of Periodic Solutions of the van der Pol Equation

27. Chapter 21: Finite Elastic Deformation of a Plane Strain Wedgeshaped Radial Crack in a Compressible Cylinder

28. Chapter 22: Wave Propagation in Non-Simple Media

29. Chapter 23: Some Nonlinear Systems of Differential Equations Equivalent to Linear Systems

30. Chapter 24: A Class of Characteristic-Value Problems

31. Chapter 25: Association of Partial Differential Equations with Ordinary Ones and Its Applications

32. Chapter 26: Stochastic Approximation and Its Application to Problems of Prediction and Control Synthesis

33. Chapter 27: Boundedness and Stability

34. Chapter 28: Discrete Time Optimal Control Systems

35. Chapter 29: The Principle of Optimal Evolution

36. Chapter 30: A Geometric Interpretation of Pontryagin’s Maximum Principle

37. Chapter 31: On the Accessibility Problem in Control Theory

38. Chapter 32: Time Optimal Control of Linear Systems with Bounded Controls

39. Chapter 33: Controllable Stability and Equivalent Nonlinear Programming Problem

40. Chapter 34: Periodic Solutions of Singular Perturbation Problems

41. Chapter 35: Ultimately Periodic Behavior in a Class of Non-Linear Servomechanisms

42. Chapter 36: Determining the Switching Criterion for Time-Optimal Control

43. Chapter 37: On the Pontryagin Maximum Principle

44. Chapter 38: The Nonlinear Effect, Arising from White Noise and the Flicker Effect, in Nuclear Resonance Spectrometers of the “Marginal Oscillator” Type

45. Chapter 39: L’Extension de la Méthode de Nyquist aux Boucles Non-Linéaires. Application à L’Étude de la Stabilité des Réacteurs Nucléaires

46. Chapter 40: A Contribution to Liapunov’s Second Method: Nonlinear Autonomous Systems

47. Chapter 41: An Analysis of the Bistability of the Parametron

48. Chapter 42: Liapunov Functions and Comparison Theorems

49. Chapter 43: Structures Transverse to a Vector Field

50. Chapter 44: Systems of Differential Equations without Linear Terms

51. Chapter 45: Prolongations and Generalized Liapunov Functions

52. Chapter 46: Stability under Perturbations in Generalized Dynamical Systems

53. Chapter 47: A Functional-Differential System of Neutral Type Arising in a Two-Body Problem of Classical Electrodynamics

54. Chapter 48: Asymptotic Solutions of a Linear Ordinary Differential Equation of nth Order about a Simple Turning Point

55. Chapter 49: A Boundary Value Problem for a Singularly Perturbed System of Nonlinear Differential Equations

56. Author Index

57. Subject Index