• Lectures in Ordinary Differential Equations

    Video lectures for the course 2MA401 Ordinary Differential Equations

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    References that are related to the material: 

    [1] V. I. Arnold, Ordinary Differential Equations, Ordinary Differential Equations, Springer, 1992.
    [2] F. Brauer, C Castillo-Chavez, Mathematical Models in Population Biologi and Epidemiology, 2nd Edition, Springer, 2012.
    [3] F. Diacu, An Introduction to Differential Equations, Freeman, 2000
    [4] F. Dumortier, J. Llibre, J. C. Artes, Qualitative Theory of Planar Differential Systems, Springer, 2006.
    [5] F. Eriksson, Flerdimensionell Analys, Studentlitteratur, Lund, Sweden, 1977.
    [6] A. F. Filippov, Differential Equations with Discontinuous Right-hand Sides, Kluwer, 1988
    [7] D. W. Jordan, P. Smith, Nonlinear Ordinary Differential Equations, Oxford, Second Edition, 1990.
    [8] R. Grimshaw, Nonlinear Ordinary Differential Equations, CRC Press, 1993
    [9] J. Guckenheimer and P. Holmes, Nonlinear Analysis, Dynamical Systems, and Bifurcations of Vector Fields, Springer, 1983.
    [10] J. K. Hale, Ordinary Differential Equations, Krieger, 1980.
    [11] M. W. Hirsch, S. Smale, and R. L. Devaney, Differential Equations, Dynamical Systems, and an Introduction to Chaos, Academic Press, Oxford, 2013.
    [12] E. Kreyszig, Introductory Functional Analysis and Applications, Wiley, 1978.
    [13] J. R. Munkres, Topology, Second Edition, Prentice Hall, 2000.
    [14] L. Perko, Differential Equations and Dynamical systems, 3rd Edition, Springer, 2007
    [15] W. Rudin, Functional Analysis, McGraw-Hill, 1991.
    [16] W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, 1987.
    [17] H. Smith, An Introduction to Delay Differential Equations with Applications to the Life Sciences, Springer, 2010.
    [18] B. Srinaman, Handbook of the Mathematics of the Arts and the Sciences, Springer, 2020, https://link.springer.com/referencework/10.1007/978-3-319-70658-0.
    [19] G. Strang, Linear Algebra and its Applications, 4th Edition, Brooks/Cole, 2006.
    [20] S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Second Edition, 2000.

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