Oscillation criteria of certain third-order differential equation with piecewise constant argument (Q1952871)
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scientific article; zbMATH DE number 6169926
| Language | Label | Description | Also known as |
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| English | Oscillation criteria of certain third-order differential equation with piecewise constant argument |
scientific article; zbMATH DE number 6169926 |
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Oscillation criteria of certain third-order differential equation with piecewise constant argument (English)
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3 June 2013
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Summary: We study the oscillation and asymptotic behavior of third-order nonlinear delay differential equation with piecewise constant argument of the form \[ (r_2(t)(r_1(t)x'(t))')' + p(t)x'(t) + f(t, x([t])) = 0. \] We establish several sufficient conditions which insure that any solution of this equation oscillates or converges to zero. Some examples are given to illustrate the importance of our results.
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