STABILITY IN DIFFERENTIAL EQUATIONS WITH CONTINUOUS AND PIECEWISE CONSTANT ARGUMENTS

Consider the delay differential equation with continuous and piecewise constant argumentswhere [·] denotes the greatest integer function. We obtain sufficient conditions for thezero solution of (1) to be (asymptotically) stable.1991 Mathematics Subject Classification: 39A12.

A COMPARISON THEOREM FOR THE OSCILLATION OF DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENT

In this paper, we obtain the comparison theorem for the oscillation of differential equations with continuous distributed advanced argument.