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Stability Theory

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500 Examples and Problems of Applied Differential Equations

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Abstract

The main aim of our previous chapters was to find analytic or numeric solutions of differential equations. However, most of the systems which appear in real-world applications cannot be solved analytically and their numerical solutions often fail to provide exactly the required qualitative information. Fortunately, for many such systems, certain properties of the solutions can be established directly. In this chapter, mainly we shall study the stability of the solutions by linearizing the nonlinear differential systems [3].

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Author information

Authors and Affiliations

  1. Department of Mathematics, Texas A&M University–Kingsville, Kingsville, TX, USA

    Ravi P. Agarwal & Simona Hodis

  2. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. Ravi P. Agarwal
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  2. Simona Hodis
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  3. Donal O’Regan
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Correspondence to Ravi P. Agarwal .

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Agarwal, R.P., Hodis, S., O’Regan, D. (2019). Stability Theory. In: 500 Examples and Problems of Applied Differential Equations. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-26384-3_7

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