Note on the stability for linear systems of differential equations

  • Authors

    • Qusuay Hatim ALqifiary
    2013-12-28
    https://doi.org/10.14419/ijamr.v3i1.1547

  • Abstract

    In this paper, by applying the fixed point alternative method,  we give a necessary and sufficient condition in order that the first order linear system of differential equations $ \dot z(t) + A(t)z(t) + B(t) = 0 $ has the Hyers-Ulam-Rassias stability and  find Hyers-Ulam stability constant under those conditions. In addition to that we apply this result to a second order differential equation $ \ddot y(t) + f(t)\dot y(t) + g(t)y(t) + h(t) = 0 $.

    Keywords: Fixed point method; Hyers-Ulam-Rassias stability; System of dierential equations.

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  • How to Cite

    ALqifiary, Q. H. (2013). Note on the stability for linear systems of differential equations. International Journal of Applied Mathematical Research, 3(1), 15-22. https://doi.org/10.14419/ijamr.v3i1.1547

    Received date: 2013-11-21

    Accepted date: 2013-12-21

    Published date: 2013-12-28