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A Note on the Bounded Solutions to x′′+c(t, x, x′)+q(t)b(x) = f (t) |
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PP: 393-399 |
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Author(s) |
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Cemil Tunç,
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Abstract |
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| Kroopnick (2010) discussed the bounded solutions of certain non-autonomous differential equations of the second order by
using the integral test. In this paper, instead of the integral test, we study the results of Kroopnick [9] by using the Liapunov’s function
approach. We compare the established results with that of Kroopnick [9]. We also give some additional results on the equi-bounded
solutions and uniformly-bounded solutions, and an example is given for the illustrations. |
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