Oscillation of neutral differential equations with distributed deviating arguments
The authors consider the neutral differential equation with distributed deviating arguments \[ [x(t)-R(t)x(t-\rho)]'+\int_{\tau_1}^{\tau_2}[P(t,\zeta)x(t-\zeta)- Q(t,\zeta)x(t-\zeta+\sigma)]d\zeta=0\quad\text{ for }t\geq t_0,\tag{1} \] where \(R\in C([t_0,\infty),\mathbb R_0^{+})\) and \(P,Q\in C([t_0,\infty)\times[\tau_1,\tau_2],\mathbb R_0^{+})\). The main results of the paper are three sufficient conditions for equation (1) to be oscillatory, accompanied by some corollaries and examples.
scientific article; zbMATH DE number 6157081