Some stability and boundedness conditions for non-autonomous differential equations with deviating arguments
نویسنده
چکیده
In this article, the author studies the stability and boundedness of solutions for the non-autonomous third order differential equation with a deviating argument, r: x(t) + a(t)x(t) + b(t)g1(x (t− r)) + g2(x (t)) + h(x(t− r)) = p(t, x(t), x(t − r), x(t), x(t− r), x(t)), where r > 0 is a constant. Sufficient conditions are obtained; a stability result in the literature is improved and extended to the preceding equation for the case p(t, x(t), x(t− r), x(t), x(t−r), x(t)) = 0, and a new boundedness result is also established for the case p(t, x(t), x(t − r), x(t), x(t− r), x(t)) 6= 0.
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