From condition (B), there exists (u_{0}in E) such that (gamma u_{0},Qu_{0} geq1). Next, by using condition (C), the following assertions hold for all (u,vin E): begin{aligned} gamma u,v geq1 quad &Rightarrowquad xi bigl u(t),v t) bigr geq0 &Rightarrowquad xi bigl(Qu(t),Qv t) bigr geq0 &Rightarrowquad gamma(Qu,Qv geq1 end{aligned} and hence Q is a γ-admissible mapping.
Next, by using (iii), we get the following assertions holding for all (x,yin X) begin{aligned} alpha x,y ge1 quad &impliesquad zetabigl(x t),y(t bigr)>0quad text{for all } tin [0,1] &implies quad zetabigl(Tx t),Ty(t bigr)>0quad text{for all } tin[0,1] &implies quad alpha(Tx,Ty ge1; end{aligned} hence T is α-admissible.
Next, by using the above results, we introduce the following definition of the mild solution for problem (1).
Next, by using the operator defined by (1.19), we define the following subclasses,, and of the class : (1.24).
Next, by using a switched observer to reconstruct the states of the system, an output feedback controller is also presented.
Next, by using the SAFE method and the Boltzmann superposition principle, a linear algebraic system of equations is obtained in the complex wavenumber-frequency domain.
The SMoPN is designed to meet the requirements for nuclear energy expansion in the next decades, by using the plutonium and thorium nitride fuel to increase the efficiency and performance of fuel.
"We discussed how quadcopters can take tele-medicine in Bhutan to the next level by using the unmanned devices to deliver vital medicine," Mr Tobgay later said in a message posted on social media.
In the next step, by using DEA, the efficiency value of each treatment is computed.
Tabor et al. proved the next lemma by using Theorem 3.3.
We select the next CH by using the same process till the last CH in the itinerary.
