Ordinary Differential Equations: Books - EqWorld (original) (raw)

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Agarwal, R. P., O'Regan, D., and Wong, P. J. Y., Positive Solutions of Differential, Difference and Integral Equations, Springer-Verlag, New York, 1998.
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 Manzhirov, A. V., Handbook of Mathematics for Engineers and Scientists (Chapters 5, T5, and T6), Chapman & Hall/CRC Press, Boca Raton, 2006.
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.

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