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Книги по обыкновенным дифференциальным уравнениям

Книги на русском языке

• Арнольд В. И. Обыкновенные дифференциальные уравнения. М.: Наука, 1971.
• Арнольд В. И., Козлов В. В., Нейштадт А. И. Математические аспекты классической и небесной механики. М.: Эдиториал УРСС, 2002.
• Беркович Л. М. Факторизация и преобразования дифференциальных уравнений. М.: НИЦ «Регулярная и хаотическая динамика», 2002.
• Зайцев В. Ф., Полянин А. Д. Справочник по обыкновенным дифференциальным уравнениям. М.: Физматлит, 2001.
• Зайцев В. Ф., Полянин А. Д. Справочник по нелинейным обыкновенным дифференциальным уравнениям. М.: Факториал, 1997.
• Егоров А. И. Обыкновенные дифференциальные уравнения с приложениями. М.: Физматлит, 2003.
• Камке Э. Справочник по обыкновенным дифференциальным уравнениям, 5-е изд. М.: Наука, 1976.
• Матвеев Н. М. Методы интегрирования обыкновенных дифференциальных уравнений. М.: Высшая школа, 1967.
• Петровский И. Г. Лекции по теории обыкновенных дифференциальных уравнений. М.: Наука, 1970.
• Понтрягин Л. С. Обыкновенные дифференциальные уравнения. М.: Наука, 1974.
• Степанов В. В. Курс дифференциальных уравнений. М.: Гостехиздат, 1958.
• Тихонов А. Н., Васильева А. Б., Свешников А. Г. Дифференциальные уравнения. М.: Наука, 1998.
• Эльсгольц Л. Э. Дифференциальные уравнения и вариационное исчисление. М.: Эдиториал УРСС, 2002.

  Книги на английском языке

• Akulenko, L. D. and Nesterov, S. V., High Precision Methods in Eigenvalue Problems and their Applications, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Arnold, V. I. and Levi, M., Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, Berlin, 1997.
• Arnold, V. I., Kozlov, V. V., and Neishtadt, A. I., Mathematical Aspects of Classical and Celestial Mechanics, Dynamical System III, Springer-Verlag, Berlin, 1993.
• Arscott, F., Periodic Differential Equations, Macmillan (Pergamon), New York, 1964.
• Atkinson, F.V., Multiparameter Spectral Theory for Sturm–Liouville Operators, Longman, Harlow, 1993.
• Barnes, B. and Fulford, G. R., Mathematical Modelling with Case Studies: A Differential Equation Approach Using Maple, CRC Press, Boca Raton, 2002.
• Birkhoff, G. and Rota, G. C., Ordinary Differential Equations, John Wiley & Sons, New York, 1978.
• Boyce, W. E. and DiPrima, R. C., Elementary Differential Equations, 7th Edition, Wiley, New York, 2000.
• Boyce, W. E. and DiPrima, R. C., Elementary Differential Equations and Boundary Value Problems, 8th Edition, Wiley, New York, 2004.
• Cap, F. F., Mathematical Methods in Physics and Engineering with Mathematica, Chapman & Hall/CRC Press, Boca Raton, 2003.
• Chicone, C., Ordinary Differential Equations with Applications, Springer-Verlag, Berlin, 1999.
• Chowdhury, A. R., Painlevé Analysis and Its Applications, Chapman & Hall/CRC Press, Boca Raton, 2000.
• Cole, G. D., Perturbation Methods in Applied Mathematics, Blaisdell Publishing Company, Waltham, MA, 1968.
• Collatz, L., Albrecht, J., and Velte, W., Numerical Treatment of Eigenvalue Problems, Springer Verlag, Berlin, 1987.
• Dreyer, T. P., Modelling with Ordinary Differential Equations, CRC Press, Boca Raton, 1993.
• El'sgol'ts, L. E., Differential Equations, Gordon & Breach Inc., New York, 1961.
• Emanuel, G., Solution of Ordinary Differential Equations by Continuous Groups, Chapman & Hall/CRC Press, Boca Raton, 2000.
• Fedoryuk, M. V., Asymptotic Analysis. Linear Ordinary Differential Equations, Springer-Verlag, Berlin, 1993.
• Gould, S. H., Variational Methods for Eigenvalue Problems: An Introduction to the Methods of Rayleigh, Ritz, Weinstein, and Aronszajn, Dover Publ., New York, 1995.
• Grimshaw, R., Nonlinear Ordinary Differential Equations, CRC Press, Boca Raton, 1991.
• Gromak, V. I., Painlevé Differential Equations in the Complex Plane, Walter de Gruyter, Berlin, 2002.
• Hartman, P., Ordinary Differential Equations, John Wiley & Sons, New York, 1964.
• Hinton, D. and Schaefer, P. W. (Editors), Spectral Theory & Computational Methods of Sturm–Liouville Problems, Marcel Dekker, New York, 1997.
• Ince, E. L., Ordinary Differential Equations, Dover Publ., New York, 1964.
• Its, A. R. and Novokshenov, V. Yu., The Isomonodromic Deformation Method in the Theory of Painlevé Equations, Springer-Verlag, Berlin, 1986.
• Jones, D. S. and Sleeman, B. D., Differential Equations and Mathematical Biology, Chapman & Hall/CRC Press, 2003.
• Kamke, E., Differentialgleichungen: Losungsmethoden und Losungen, I, Gewohnliche Differentialgleichungen, B. G. Teubner, Leipzig, 1977.
• Kevorkian, J. and Cole, J. D., Perturbation Methods in Applied Mathematics, Springer-Verlag, New York, 1981.
• Kevorkian, J. and Cole, J. D., Multiple Scale and Singular Perturbation Methods, Springer-Verlag, New York, 1996.
• Klimov, D. M. and Zhuravlev, V. Ph., Group-Theoretic Methods in Mechanics and Applied Mathematics, Chapman & Hall/CRC Press, Boca Raton, 2002.
• Lagerstrom, P. A., Matched Asymptotic Expansions. Ideas and Techniques, Springer-Verlag, New York, 1988.
• Lambert, J. D., Computational Methods in Ordinary Differential Equations, Cambridge University Press, New York, 1973.
• Lee, H.J. and Schiesser, W.E., Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Levitan, B. M. and Sargsjan, I. S., Sturm–Liouville and Dirac Operators, Kluwer, Dordrecht, 1990.
• Liao, S., Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Marchenko, V. A., Sturm–Liouville Operators and Applications, Birkhäuser Verlag, Basel–Boston, 1986.
• Mennicken, R. and Moller, M., Non-Self-Adjoin Boundary Eigenvalue Problems, North-Holland, Amsterdam, 2003.
• Moussiaux, A., CONVODE: un Programme REDUCE pour la Résolution des Équations Differentielles, Didier Hatier, Bruxelles, 1996.
• Murdock, J. A., Perturbations. Theory and Methods, John Wiley & Sons, New York, 1991.
• Murphy, G. M., Ordinary Differential Equations and Their Solutions, D. Van Nostrand, New York, 1960.
• Nayfeh, A. H., Perturbation Methods, John Wiley & Sons, New York, 1973.
• Nayfeh, A. H., Introduction to Perturbation Techniques, John Wiley & Sons, New York, 1981.
• Olver, F. W. J., Asymptotics and Special Functions, Second Edition, AK Peters Ltd, 1997.
• Polyanin, A. D. and Zaitsev, V. F., Handbook of Exact Solutions for Ordinary Differential Equations, Second Edition, Chapman & Hall/CRC Press, Boca Raton, 2003.
• Pryce, J. D., Numerical Solution of Sturm–Liouville Problems, Clarendon Press, Oxford, 1994.
• Reid, W. T., Riccati Differential Equations, Academic Press, New York, 1972.
• Sachdev, P. L., Nonlinear Ordinary Differential Equations and Their Applications, Marcel Dekker, New York, 1991.
• Sagan, H., Boundary and Eigenvalue Problems in Mathematical Physics, Dover Publ., New York, 1989.
• Schiesser, W. E., Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs, CRC Press, Boca Raton, 1993.
• Shampine, L. F., Gladwell, I., and Thompson, S., Solving ODEs with MATLAB, Cambridge University Press, New York, 2003.
• Wasov, W., Asymptotic Expansions for Ordinary Differential Equations, John Wiley & Sons, New York, 1965.
• Zaitsev, V. F. and Polyanin, A. D., Discrete-Group Methods for Integrating Equations of Nonlinear Mechanics, CRC Press/Begell House, Boca Raton, 1994.
• Zwillinger, D., Handbook of Differential Equations, 3rd ed., Academic Press, Boston, 1997.