Problem of instability in the first approximation |
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Authors: | V E Slyusarchuk |
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Institution: | (1) Novopolotsk Polytechnic Institute, USSR |
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Abstract: | Let E be a Banach space, A be a continuous linear operator such that (A) ; Re >0 Ø, and F(t, x) be a continuous function on 0, )×E satisfying the condition F(t, x) q x (q= const). An example of a system dx/dt=Ax + F(t, x) is given which has an exponentially stable zero solution for certain F(t, x) with arbitrarily small q.Translated from Matematicheskie Zametki, Vol. 23, No. 5, pp. 721–723, May, 1978. |
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