* 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.
* 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.
* Arrowsmith, D.K. and Place, C.M. An Introduction to Dynamical Systems New York, NY: Cambridge University Press, 1990.
Bhatia, Nam Parshad. Stability Theory of Dynamical Systems New York, NY: Springer-Verlag, 1970.
Burton, T.A. Stability and Periodic Solutions of Ordinary and Functional Differential Equations New York, NY: Academic Press, 1985.
Chow, S. and Hale, Jack K. Methods of Bifurcation Theory New York, NY: Springer-Verlag, 1982.
*** Guckenheimer, John and Holmes, Philip. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields New York, NY: Springer-Verlag, 1983.
Hale, Jack K.; Magalhaes, Luis T.; and Oliva, Waldyr M. An Introduction to Infinite Dimensional Dynamical Systems---Geometric Theory New York, NY: Springer-Verlag, 1984.
Hao, Bai-Lin. Chaos Teaneck, NJ: World Scientific, 1984.
Hazewinkel, M.; Jurkovich, R.; and Paelinck, J.H.P., eds. Bifurcation Analysis: Principles, Applications, and Synthesis Norwell, MA: D. Reidel, 1985.
* Iooss, Gerard and Joseph, Daniel D. Elementary Stability and Bifurcation Theory, New York, NY: Springer-Verlag, 1990. Second Edition.
LaSalle, Joseph P. The Stability of Dynamical Systems Philadelphia, PA: Society for Industrial and Applied Mathematics, 1976.
LaSalle, Joseph P. and Lefschetz, Solomon. Stability by Liapunov's Direct Method New York, NY: Academic Press, 1961.
Liapunov, A. Stability of Motion New York, NY: Academic Press, 1966.
* Marsden, Jerrold E. The Hopf Bifurcation and Its Applications New York, NY: Springer-Verlag, 1976.
Percival, Ian and Richards, Derek. Introduction to Dynamics New York, NY: Cambridge University Press, 1982.
Rouche, N.; Habets, P.; and Laloy, M. Stability Theory by Liapunov's Direct Method New York, NY: Springer-Verlag, 1977.
** Ruelle, David. Elements of Differentiable Dynamics and Bifurcation Theory New York, NY: Academic Press, 1989.
* Sparrow, Colin. The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors New York, NY: Springer-Verlag, 1982.
Verhulst, F. Nonlinear Differential Equations and Dynamical Systems, New York, NY: Springer-Verlag, 1985, 1990. Second Edition.
** Wiggins, Stephen. Introduction to Applied Nonlinear Dynamical Systems and Chaos New York, NY: Springer-Verlag, 1990.
Baker, Bevan B. and Copson, E.T. The Mathematical Theory of Huygens' Principle New York, NY: Chelsea, 1987.
* Bergman, Stefan. Kernel Functions and Elliptic Differential Equations in Mathematical Physics New York, NY: Academic Press, 1953.
Bleistein, Norman. Mathematical Methods for Wave Phenomena New York, NY: Academic Press, 1984.
** Carrier, George F. and Pearson, Carl E. Partial Differential Equations: Theory and Technique, New York, NY: Academic Press, 1988. Second Edition.
Farlow, Stanley J. Partial Differential Equations for Scientists and Engineers New York, NY: John Wiley, 1982.
Friedman, Avner. Partial Differential Equations New York, NY: Holt, Rinehart and Winston, 1969.
** Garabedian, Paul R. Partial Differential Equations, New York, NY: Chelsea, 1986. Second Edition.
* Gustafson, Karl E. Introduction to Partial Differential Equations and Hilbert Space Methods, New York, NY: John Wiley, 1980, 1987. Second Edition.
* Haberman, Richard. Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, Englewood Cliffs, NJ: Prentice Hall, 1983, 1987. Second Edition.
Hellwig, Gunter. Partial Differential Equations New York, NY: Blaisdell, 1964.
* Hormander, Lars. The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, New York, NY: Springer-Verlag, 1983, 1990. Second Edition.
John, Fritz. Partial Differential Equations, New York, NY: Springer-Verlag, 1971, 1982. Fourth Edition.
Littman, Walter, ed. Studies in Partial Differential Equations Washington, DC: Mathematical Association of America, 1982.
Pinsky, Mark A. Introduction to Partial Differential Equations with Applications, New York, NY: McGraw-Hill, 1984, 1991. Second Edition.
* Protter, Murray H. and Weinberger, Hans F. Maximum Principles in Differential Equations Englewood Cliffs, NJ: Prentice Hall, 1967.
Smoller, J. Shock Waves and Reaction Diffusion Equations New York, NY: Springer-Verlag, 1983.
Tikhonov, Andrei N. Partial Differential Equations of Mathematical Physics San Francisco, CA: Holden-Day, 1967.
Treves, Fran cois. Basic Linear Partial Differential Equations New York, NY: Academic Press, 1975.
** Weinberger, Hans F. A First Course in Partial Differential Equations with Complex Variables and Transform Methods Lexington, MA: Xerox College, 1965.
* Whitham, G. Linear and Nonlinear Waves New York, NY: John Wiley, 1974.
** Widder, David V. The Heat Equation New York, NY: Academic Press, 1975.
Williams, W.E. Partial Differential Equations New York, NY: Clarendon Press, 1980.
Zachmanoglou, E.C. and Thoe, Dale W. Introduction to Partial Differential Equations with Applications Mineola, NY: Dover, 1986.
* Zauderer, Erich. Partial Differential Equations of Applied Mathematics, New York, NY: John Wiley, 1983, 1989. Second Edition.
Crank, John. Free and Moving Boundary Problems New York, NY: Clarendon Press, 1984.
Greenberg, Michael D. Application of Green's Functions in Science and Engineering Englewood Cliffs, NJ: Prentice Hall, 1971.
Hanna, J. Ray and Rowland, J.H. Fourier Series and Integrals of Boundary Value Problems, New York, NY: John Wiley, 1982, 1990. Second Edition.
* Powers, David L. Boundary Value Problems, New York, NY: Academic Press, 1979, 1987. Third Edition.
Roach, G.F. Green's Functions, New York, NY: Cambridge University Press, 1982. Second Edition.
** Stakgold, Ivar. Green's Functions and Boundary Value Problems New York, NY: John Wiley, 1979.
Hochstadt, Harry. Integral Equations New York, NY: John Wiley, 1973.
Ladde, G.S. Oscillation Theory of Differential Equations with Deviating Arguments New York, NY: Marcel Dekker, 1987.
Martin, Robert H., Jr. Nonlinear Operators and Differential Equations in Banach Spaces Melbourne, FL: Robert E. Krieger, 1987.
* Mickens, Ronald E. An Introduction to Nonlinear Oscillations New York, NY: Cambridge University Press, 1981.
Miller, Richard K. Nonlinear Volterra Integral Equations Reading, MA: W.A. Benjamin, 1971.
Smith, Donald R. Singular-perturbation Theory: An Introduction with Applications New York, NY: Cambridge University Press, 1985.
Tikhonov, Andrei N. and Samarskii, A.A. Equations of Mathematical Physics Mineola, NY: Dover, 1990.
Titchmarsh, Edward C. Eigenfunction Expansions Associated with Second-Order Differential Equations New York, NY: Clarendon Press, 1962.
* Tricomi, Francesco G. Integral Equations Mineola, NY: Dover, 1985.
Volterra, Vito. Theory of Functionals and of Integral and Integro-Differential Equations Mineola, NY: Dover, 1959.
* Yosida, Kosaku. Lectures on Differential and Integral Equations New York, NY: Interscience, 1960.