On the Asymptotic Behavior of Solutions of Neutral Mixed Type Differential Equations

Abstract

In this study, the asymptotic behavior for solutions of neutral mixed type differential equation has been investigated, where some necessary and sufficient conditions are obtained to guarantee the convergence of all solutions of x′(t)+a(t)x′(τ(t))+∑i=1kbi(t)x(σi(t))+∑j=1lcj(t)x(rj(t))=0to zero. An example is given to illustrate our main results. © 2018, Springer Nature Switzerland AG.