Asymptotic behavior of certain integrodifferential equations (Q1677664)

Summary: This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: \(\left(a \left(t\right) x' \left(t\right)\right)' = e(t) + \int_c^t (t - s)^{\alpha - 1} k(t, s) f(s, x(s)) d s\), \(c > 1\), \(0 < \alpha < 1 \). From the obtained results, we derive a technique which can be applied to some related integrodifferential as well as integral equations.