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    Lectures in Ordinary Differential Equations

    Video lectures for the course 2MA401 Ordinary Differential Equations

    You are allowed to use these resources for your own use and for your studies. You may refer to the material in your own work or your own teaching provided you give appropriate sources or links. Commercial use, changes in the material or making the material accessible at other platforms, media or channels without written permission is prohibited. 

    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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