Oscillation in first order neutral differential equations with ''integrally small'' coefficients
The authors obtain some new sufficient conditions for the oscillation of the solutions of the equation (1) below without the restrictive hypothesis \(\int^{+\infty}_ 0 [P(s)- Q(s- \tau-\delta)] ds= +\infty\). \[ {d\over dt} [x(t)- R(t) x(t- r)]+ P(t) x(t- \tau)- Q(t) x(t-\delta)= 0,\tag{1} \] where \(P,Q,R\in C([t_ 0; +\infty),\mathbb{R}^ +)\), \(r> 0\) and \(\tau,\delta\geq 0\).
scientific article; zbMATH DE number 703333