To compensate, the new idea of setting up minimizing sequences twice is used.
Inspired by Zhu and Huang [26], we derive the optimal pairs by utilizing the new technique of setting up minimizing sequences twice.
Then the new approach of setting up minimizing sequences twice is used to derive the optimal pairs without Lipschitz assumptions on nonlinear functions and nonlocal items.
Overall, cinacalcet was well tolerated and side effects could be minimized by twice daily administration.
In this section, the idea of constructing the minimizing sequences twice will be used to solve the following Lagrange optimal control problem ((P_{1})): inf_{ y, u in mathcal{A}_{d}} mathcal{J} y, u), where the cost function (mathcal{J} y, u)=int_{0}^{c} L t, y(t), u(t)),mathrm{d}t), and the cost integrand (L: [0,c]times Xtimes Y rightarrow mathbb{R}cup {+infty }) satisfies the condition (HL).
By constructing approximating minimizing sequences of functions twice, we also obtained the optimal controls of impulsive fractional differential equations.
Constructing approximating minimizing sequences of functions twice plays a key role in the proof of looking for optimal controls, which enable us to deal with the multiple solution problem of feasible pairs.
Due to the lack of uniqueness of feasible pairs, we mainly apply the idea of constructing approximating minimizing sequences of functions twice and derive the existence of optimal controls.
The software automatically checked whether a certain email address was already registered, thereby minimizing the possibility of someone registering and completing the survey twice.
Because leaf-tying larvae were only weighed twice (to minimize disruption of their silken feeding shelters), we calculated individual RGR as [ln (final mass) – ln initial mass)]/(number of days in interval) over two intervals (units are g g−1 d−1, which simplifies to d−1).
Three sequencing reactions had been carried for each fragment and injected twice to minimize sequencing artifacts.
