Some applications of functional-differential inequalities (Q1093784)

The functional-differential system \[ x(t)=\sum^{m}_{i=1}\{P_ i(t)x(t-\tau_{1i}(t))+Q_ i(t)y(t-\tau_{2i}(t))\}+R(t)y(t) \] \[ y'(t)=\sum^{m}_{i=1}\{A_ i(t)x(t-\tau_{3i}(t))+B_ i(t)y(t- \tau_{4i}(t))\}+C(t)y(t) \] is studied from the point of view of ``point completeness'' and of certain estimates, by the method of the functional-differential inequalities. The matrices \(P_ i( ),Q_ i( ),R( ),A_ i( ),B_ i( ),C( )\) and the mapping \(\tau_{ki}()\) satisfy appropriate continuity assumptions.