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10.b.  Ordinary differential equations  
       Theory of ordinary differential equations, Geometric and qualitative theory of ODE. 
       (See also Dynamical systems)


Hsieh, Po-Fang(1-WMI); Sibuya, Yasutaka(1-MN-SM) Basic theory of ordinary differential equations. (English. English summary) Universitext. Springer-Verlag, New York, 1999. xii+468 pp. \$59.95. ISBN 0-387-98699-5

Arnol'd, V. I. Geometrical methods in the theory of ordinary differential equations. Translated from the Russian by Joseph Szücs. Translation edited by Mark Levi. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science], 250. Springer-Verlag, New York-Berlin, 1983. xi+334 pp. \$36.00. ISBN 0-387-90681-9

Arnol'd, Vladimir I.(RS-AOS) Ordinary differential equations. Translated from the third Russian edition by Roger Cooke. Springer Textbook. Springer-Verlag, Berlin, 1992. 334 pp. \$49.00. ISBN 3-540-54813-0

Chicone, Carmen(1-MO) Ordinary differential equations with applications. (English. English summary) Texts in Applied Mathematics, 34. Springer-Verlag, New York, 1999. xvi+561 pp. \$59.95. ISBN 0-387-98535-2

Walter, Wolfgang(D-KLRH-1) Ordinary differential equations. (English. English summary) Translated from the sixth German (1996) edition by Russell Thompson. Graduate Texts in Mathematics, 182. Readings in Mathematics. Springer-Verlag, New York, 1998. xii+380 pp. \$49.95. ISBN 0-387-98459-3

Introductory Texts

      • Boyce, William E. and DiPrima, Richard C. Elementary Differential Equations and Boundary Value Problems, New York, NY: John Wiley, 1969, 1992. Fifth Edition.
  • Braun, Martin. Differential Equations and Their Applications: An Introduction to Applied Mathematics, New York, NY: Springer-Verlag, 1975, 1983. Third Edition.

Burghes, David N. and Borrie, M.S. Modelling with Differential Equations New York, NY: Halsted Press, 1981.

  • Coddington, Earl A. An Introduction to Ordinary Differential Equations Mineola, NY: Dover, 1989.
    • Edwards, C.H., Jr. and Penney, David E. Elementary Differential Equations with Applications, Englewood Cliffs, NJ: Prentice Hall, 1985, 1989. Second Edition.

Hochstadt, Harry. Differential Equations Mineola, NY: Dover, 1975.

    • Hubbard, John H. and West, Beverly H. Differential Equations: A Dynamical Systems Approach, New York, NY: Springer-Verlag, 1991.

Miller, Richard K. Ordinary Differential Equations New York, NY: Academic Press, 1982.

    • Redheffer, Ray and Port, Dan. Differential Equations: Theory and Applications Boston, MA: Jones and Bartlett, 1991.

Roberts, Charles E., Jr. Ordinary Differential Equations: A Computational Approach Englewood Cliffs, NJ: Prentice Hall, 1979.

    • Simmons, George F. and Robertson, John S. Differential Equations with Applications and Historical Notes, New York, NY: McGraw-Hill, 1972, 1991. Second Edition.
    • Zill, Dennis G. A First Course in Differential Equations with Applications, Boston, MA: PWS-Kent, 1980, 1989. Fourth Edition.


Ordinary Differential Equations

    • Arnold, V.I. Geometrical Methods in the Theory of Ordinary Differential Equations, New York, NY: Springer-Verlag, 1983, 1988. Second Edition.
  • Arnold, V.I. Ordinary Differential Equations Cambridge, MA: MIT Press, 1973, 1978.

Bellman, Richard E. Stability Theory of Differential Equations Mineola, NY: Dover, 1969.

      • Birkhoff, Garrett and Rota, Gian-Carlo. Ordinary Differential Equations, New York, NY: John Wiley, 1969, 1989. Fourth Edition.
    • Brauer, Fred and Nohel, John A. The Qualitative Theory of Ordinary Differential Equations: An Introduction Mineola, NY: Dover, 1989.

Carrier, George F. and Pearson, Carl E. Ordinary Differential Equations Philadelphia, PA: Society for Industrial and Applied Mathematics, 1991.

Cesari, Lamberto. Asymptotic Behavior and Stability Problems in Ordinary Differential Equations New York, NY: Springer-Verlag, 1963.

      • Coddington, Earl A. and Levinson, Norman. Theory of Ordinary Differential Equations Melbourne, FL: Robert E. Krieger, 1984.

Driver, Rodney D. Ordinary and Delay Differential Equations New York, NY: Springer-Verlag, 1977.

  • Hale, Jack K. Ordinary Differential Equations Melbourne, FL: Robert E. Krieger, 1980.

Hale, Jack K., ed. Studies in Ordinary Differential Equations Washington, DC: Mathematical Association of America, 1977.

  • Hartman, Philip. Ordinary Differential Equations, New York, NY: Birkhauser, 1973, 1982. Second Edition.

Hille, Einar. Ordinary Differential Equations in the Complex Domain New York, NY: John Wiley, 1976.

      • Hirsch, Morris W. and Smale, Stephen. Differential Equations, Dynamical Systems, and Linear Algebra New York, NY: Academic Press, 1974.

Hurewicz, Witold. Lectures on Ordinary Differential Equations Mineola, NY: Dover, 1990.

  • Ince, Edward L. Ordinary Differential Equations Mineola, NY: Dover, 1956.

Jordan, D. and Smith, P. Nonlinear Ordinary Differential Equations, New York, NY: Clarendon Press, 1987. Second Edition.

Lakin, William D. and Sanchez, David A. Topics in Ordinary Differential Equations Mineola, NY: Dover, 1982.

  • Lefschetz, Solomon. Differential Equations: Geometric Theory Mineola, NY: Dover, 1977.

Nemytskii, V.V. and Stepanov, V.V. Qualitative Theory of Differential Equations Mineola, NY: Dover, 1989.

Pontrjagin, Lev S. Ordinary Differential Equations Reading, MA: Addison-Wesley, 1962.

Reid, William T. Sturmian Theory for Ordinary Differential Equations New York, NY: Springer-Verlag, 1980.

  • Sanchez, David A. Ordinary Differential Equations and Stability Theory: An Introduction Mineola, NY: Dover, 1979.

Struble, Raimond A. Nonlinear Differential Equations Melbourne, FL: Robert E. Krieger, 1983.

    • Waltman, Paul. A Second Course in Elementary Differential Equations New York, NY: Academic Press, 1986.

Wasow, Wolfgang. Asymptotic Expansions for Ordinary Differential Equations Mineola, NY: Dover, 1987.

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