Sentence examples for with unbounded delay from inspiring English sources
Consider the discrete Volterra equation with unbounded delay (2.7).
Differential inequalities with unbounded delay are investigated in [12].
Some recent results on the asymptotic stability of Volterra equations with unbounded delay include [17, 18].
The work on first-order abstract neutral functional differential equations with unbounded delay was initiated in [12, 13].
Sakthivel et al. [11, 12] studied the approximate controllability of nonlinear impulsive differential systems and stochastic systems with unbounded delay.
Some other recent papers which employ Volterra equations with unbounded delay to model stable population dynamics include [22, 23].
(Coupled stochastic oscillators with unbounded delays).
The initial function space of differential systems with unbounded delays is not completed.
Similar impulsive perturbations were considered in [14] by studying the asymptotic constancy of an impulsive neutral differential equation of Euler form with unbounded delays, textstylebegin{cases} [x t -C t)x(alpha t)]'+frac{P(t)}{t}x(beta t)=0, quad tgeq t_{0}>0, tneq t_{k}, x(t_{k}^)=b_{k}x(t_{k})+(1-b_{k})int_{beta t_{k}}^{t_{k}}frac{P(s/beta )}{s}x(s),ds, quad kinmathbb{Z}_.
The IEEE 802.15.4 protocol is considered to be unsuitable for industrial networks because its medium access control method is contention-based CSMA/CA, which exhibits unstable performance with an unbounded delay distribution under heavy traffic.
As a special case, multispecies Lotka-Volterra-type systems with bounded delay and unbounded delay are studied.
