• Citations Per Year
Learn More
with integer delays ki and ji, ki > ji P 0 is considered. It is assumed that bi : Z 1 n0 k ! 1⁄20;1Þ;n0 2 Z; k 1⁄4 maxfk1; k2; . . . ; ksg;Zp :1⁄4 fp; pþ 1; . . .g;p 2 Z; Ps i1⁄41biðnÞ > 0; s 2 Z1 is a fixed integer and n 2 Zn0 . Criteria of asymptotic convergence of solutions are expressed in terms of inequalities for the functions bi, i = 1, . . . ,s.(More)
A system of s discrete equations . All righ eec.vutb DyðnÞ 1⁄4 bðnÞ1⁄2yðn jÞ yðn kÞ is considered where k and j are integers, k > j P 0, bðnÞ is a real s s square matrix defined for n P n0 k; n0 2 Z with non-negative elements bijðnÞ; i; j 1⁄4 1; . . . ; s such that Ps j1⁄41bijðnÞ > 0, y 1⁄4 ðy1; y2; . . . ; ysÞ T : fn0 k;n0 kþ 1; . . .g ! R and DyðnÞ 1⁄4(More)
The asymptotic behavior of the solutions of the first-order differential equation ẏ t ∑n i 1 βi t y t − δi − y t − τi containing delays is studied with βi : t0 − τ,∞ → 0,∞ , τ max{τ1, . . . , τn}, ∑n i 1 βi t > 0, τi > δi > 0. The attention is focused on an analysis of the asymptotical convergence of solutions. A criterion for the asymptotical convergence(More)
  • 1