Differential equations: Theory and applications

Differential Equations: Theory and Applications

Volumn , Issue , 2010, Pages 1-626

  Betounes, David ^a  

^a VALDOSTA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892208835     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4419-1163-6     Document Type: Book

References (58)

1. R. Abraham and J. Marsden, Foundations of Mechanics, 2nd Ed., Addison-Wesley, Reading, MA, 1978.
2. M. Adler and P. Van Moerbecke, Algebraic Completely Integrable Systems: A Systematic Approach, Academic Press, New York, 1988.
3. B. Aebischer, M. Borer, M. Kälin, Ch. Leuenberger, and H. Reimann, Symplectic Geometry, Birkhäuser, Boston, 1992.
4. H. Amann, Ordinary Differential Equations: An Introduction to Nonlinear Analysis, Walter de Gruyter, Berlin, 1990.
5. V. I. Arnold, Ordinary Differential Equations, MIT Press, Boston, 1978.
6. V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, New York, 1978.
7. Olivier Babelon, Denis Bernard, and Michel Talon, Introduction to Classical Integrable Systems, Cambridge Univ. Press, Cambridge, 2003.
8. R. Bellman, Stability Theory of Differential Equations, McGraw-Hill, New York, 1953.
9. D. Betounes, Partial Differential Equations for Computational Science with Maple and Vector Analysis, Springer-Verlag, New York, 1998.
10. R. L. Bryant, S. S. Chern, R. B. Gardner, H. L. Goldschmidt, and P. A. Griffiths, Exterior Differential Systems, Springer-Verlag, New York, 1991.
11. T. A. Burton, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, New York, 1985.
12. J. L. Casti, Dynamical Systems and Their Applications: Linear Theory, Academic Press, New York, 1977.
13. P. Collet and J-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Birkhäuser, Boston, 1983.
14. W. A. Coppel. Stability Theory of Differential Equations, D. C. Heath, Boston, 1965.
15. Jane Cronin, Differential Equations: Introduction and Qualitative Theory, 2nd Ed., Dekker, New York, 1994.
16. Jane Cronin, Differential Equations: Introduction and Qualitative Theory, 3nd Ed., Chapman & Hall, Boca Raton, 2008.
17. J. Dieudonné, Treatise on Analysis, Vol. IV, Academic Press, New York, 1974.
18. R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Benjamin-Cummings, Menlo Park, 1986.
19. James Dugundji, Topology, Allyn and Bacon, Boston, 1970.
20. M. Fiedler, Special Matrices and their Applications in Numerical Mathematics, Kluwer, Dordrecht, 1986.
21. H. Goldstein, Classical Mechanics, Addison-Wesley, Reading, 1959.
22. M. Golubitsky and D. G. Schaeffer, Singularities and Groups in Bifurcation Theory, Springer-Verlag, New York, 1985.
23. P. Hartman, Ordinary Differential Equations, Birkhäuser, Boston, 1982.
24. I. N. Herstein, Topics in Algebra, Wiley, 2nd Ed., New York, 1975.
25. Helmut Hofer and Eduard Zehnder, Symplectic Invariants and Hamiltonian Dynamics, Birkhäuser, Boston, 1994.
26. Po-Fang Hsieh and Yasutaka Sibuya, Basic Theory of Ordinary Differential Equations, Springer-Verlag, New York, 1999.
27. M. C. Irwin, Smooth Dynamical Systems, Academic Press, New York, 1980.
28. Frank Jones, Lebesgue Integration on Euclidean Space, Jones and Bartlett, Boston, 1993.
29. H. Koçak, Differential and Difference Equations through Computer Experiments, 2nd Ed., Springer-Verlag, New York, 1989.
30. Y. Kosmann-Schwarzbach, B. Grammaticos, and K. Tamizhmani, Eds., Integrability of Nonlinear Systems, Springer-Verlag, New York, 1997.
31. S. Kuksin, V. Lazutkin, and J. Pöschel, Eds., Seminar on Dynamical Systems, Birkhäuser, Boston, 1994.
32. Y. A. Kuznetsnov, Elements of Applied Bifurcation Theory, Springer-Verlag, New York, 1995.
33. V. Lazutkin, KAM Theory and Semiclassical Approximations to Eigenfunctions, Springer-Verlag, New York, 1993.
34. P. Libermann and C. Marle, Symplectic Geometry and Analytical Mechanics, D. Reidel, Boston, 1987.
35. J. Marion and S. Thorton, Classical Dynamics of Particles and Systems, 4th Ed., Harcourt Brace, Orlando, 1995.
36. Nelson Markley, Principles of Differential Equations, John Wiley & Sons, New Jersey, 2004.
37. J. E. Marsden and M. J. Hoffman, Elementary Classical Analysis, 2nd Ed., W. H. Freeman, New York, 1993.
38. Mario Martelli, Discrete Dynamical Systems and Chaos, Longman House, Essex, 1992.
39. D. R. Merkin, Introduction to the Theory of Stability, Springer-Verlag, New York, 1997.
40. J. Moser, Stable and Random Motion in Dynamical Systems, Princeton University Press, Princeton, 1973.
41. J. Palis and W. De Melo, Geometric Theory of Dynamical Systems: An Introduction, Springer-Verlag, New York, 1982.
42. B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ, 1980.
43. William Parry, Topics in Ergodic Theory, Cambridge University Press, Cambridge, 1981.
44. L. Perko, Differential Equations and Dynamical Systems, Springer-Verlag, New York, 1991.
45. L. Perko, Differential Equations and Dynamical Systems, 3rd Ed., Springer-Verlag, New York, 2001.
46. K. E. Petersen, Ergodic Theory, Cambridge University Press, Cambridge, 1983.
47. H. Poincaré, Sur le probléme des trois corps et les équations de la dynamique, Acta Math. 13 (1890) p. 1-271.
48. H. Poincaré, Les Méthodes Nouvelles de la Méchanique Céleste, Vol. I, II, III, Dover Publications, New York, 1957 (unabridged republication of the volumes originally published in 1892, 1893, and 1899).
49. L. S. Pontryagin, Ordinary Differential Equations, Addison-Wesley, Reading, MA, 1962.
50. Clark Robinson, Dynamical Systems: Stability, Symbolic Dynamics, and Chaos, CRC Press, Boca Raton, 1995.
51. N. Rouche and J. Mawhin, Ordinary Differential Equations: Stability and Periodic Solutions, Pitman, Boston, 1980.
52. Walter Rudin, Principles of Mathematical Analysis, 3rd Ed., McGraw-Hill, New York, 1976.
53. W. Slebodzinski, Exterior Forms and their Applications, Polish Scientific Publishers, Warszawa, 1970.
54. W. Thirring, A Course in Mathematical Physics 1: Classical Dynamical Systems, Springer-Verlag, New York, 1978.
55. F. Verhulst, Nonlinear Differential Equations and Dynamical Systems, Springer-Verlag, New York, 1990.
56. Wolfgang Walter, Ordinary Differential Equations, Springer-Verlag, New York, 1998.
57. E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, Cambridge, 1965.
58. A. Wintner, The Analytical Foundations of Celestial Mechanics, Princeton, Princeton University Press, 1947.