In this article, we consider an optimal control problem in which the controlled state dynamics is governed by a stochastic evolution equation in Hilbert spaces and the cost functional has a quadratic growth. The existence and uniqueness of the optimal control are obtained by the means of an ...
It is obvious form Figure 1, Figure 2 and Figure 3 that the model converges to an equilibrium point, which means that the model in (10) or equivalently the model in (16) is robust as well as globally asymptotically stable. Figure 1. An illustration of the state trajectories of the real...
3.1. Exploratory Data Analysis in Limestone Deposit The dataset consists of 4553 samples with homotopic sampling patterns. This configuration means that the data are available through all sample points and all variables have been assayed on equal sets of sample locations [36]....
This means that the hot and dry climate favored the rate of COVID-19 transmission in Delhi. Further, it is found that the trends of association of the variables with the COVID-19 cases and deaths were similar in both periods, although the extent of association was different. This ...
means that X − Y is positive semi-definite (respectively, positive definite). I is the identity matrix with appropriate dimensions. Moreover, let (Ω, F, {F t } t 0 , P) be a com- plete probability space with a filtration {F t } t 0 satisfying the usual conditions (...
This means that the expected number of home delivery products will increase. As the delivery server serves door-to-door delivery of the carried out product, the number of home delivery products in the system reduces. If we assume p 2 = 0 , then the number of home delivery products remains...
In the mathematical point of view, persistence of a system means that a strictly positive solution does not have omega limit points on the boundary of the non-negative cone. Definition 2. A population is said to be uniformly persistent if there exists δ > 0, independent of x(0) where x...