In this paper, we concerned with the existence of positive solutions for the following PBVPs of impulsive dynamic equations on time scales left { begin{array}l} x^{bigtriangleup}(t)+p(t)x sigma(t))=f t,x sigma(t))),quad tin J:= [ 0,T ] _{mathbb{T}}, tneq t_{k}, x(t_{k}^ -x(t_{k}^ -x_{k}(x(t_{k}^)),quad k=1,2,ldots,m, x(0)=x(sI_{k(T)), end{array} right.
After the second moving average iteration, the KZ(13,2) filters have effectively removed all significant variations in this short term time scale, while leaving longer time scales unaffected [ 21].
The time scale for the left truncated survival model was age (months), which was additionally stratified by calendar time in two year groups.
Pesticide is applied at a given spatial scale, leaving habitat unsuitable for some time before dissipating and allowing the habitat to revert to a suitable state.
In [18], Han and Kang considered the existence of multiple positive solutions for the following third-order p-Laplacian dynamic equation on time scales: begin{aligned} left { begin{array}l} (Phi_{p} u^{DeltaDelta}(t)) )^{nabla}+f (t,u(t) )=0,quad tin[a,b], alpha u (rho(a) )-beta u^{Delta}(rho(a) )=0, gamma u(b)+delta u^{Delta}(b)=0, u^{DeltaDelta} (rho(a) )=0.
As noted in the caption of Figure S4 of the Supplementary Material, leaving prior time scale information out of the model approximation may in some cases result in misleadingly high posterior probabilities.
where is a time scale,, where is right dense and is left dense.
Our results show that the time scale proposed for a dust particle to leave the ring is much shorter than predicted before even in the presence of a coorbital moonlet.
To automatically adjust for age, we used left truncation and age as time scale.
Plants sensitive or tolerant to salinity differ in the rate at which salt reaches toxic levels in leaves, and the time scale may be days or weeks depending on the species and the salinity level (Munns and Tester 2008).
