Oscillation of first order delay differential equations with nonhomogeneous impulse

In this work, We have discussed the behaviour of solutions of a class of first order functional differential equations with impulsive effect of the form: \begin{equation*} \begin{cases} z(s)-q(s)z(s-\sigma)'+p(s)f(z(s-\tau))=0 \\ \Delta z(\sigma_k)=\beta_kz(\sigma_k)+d_k. \end{cases} \end{equation*} The results are illustrated with examples under suitable fixed moments of impulsive effect. Joint work with Rashmi R. Sahu. \newline {\bf Keywords:} Oscillation, nonoscillation, neutral, impulsive differential equation, Schauder's fixed point theorem. \newline {\bf Mathematics Subject Classification (2010):} 34K, 34C10, 34K11.