On the distance between consecutive zeros of solutions of first order delay differential equations

The Distribution of Zeros of Solutions of Advanced Dynamic Equations on Time Scales

“…For some papers dealing with the subject, we refer in particular to [3,7,8,[10][11][12] and the references cited therein. We note that these equations occur naturally in applications to problems in numerical analysis, automation, economics, biology, etc (see e.g., [1,2,4,5]).…”

Upper Bounds for the Distance between Adjacent Zeros of First-Order Linear Differential Equations with Several Delays

“…where υ > 0, q ∈ C([t 0 , ∞), [0, ∞)), has attracted the interest of many mathematicians; for example, [4][5][6][7][11][12][13][14][20][21][22][24][25][26][27][28][29][30]. The purpose of most of these works was to obtain new estimations for the upper bound (UB) between successive zeros of all solutions.…”

“…x(t) ; for example, see [13,14,22,25,27,28]. Furthermore, the authors [13,14,26] obtained new criteria of iterative types for UB of all solutions of Equation ( 2).…”