The existence of a unique optimal control, the optimality conditions of first order, and the synthesis of the optimal feedback law a re investigated.

证明了最优控制的存在唯一性，给出了一阶最优性条件，讨论了最优反馈的合成。

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Taking a proper asymptotic sequence and perturbation technique, the control equations, the continuity, equilibrium and compatibility conditions of the first order and second order are derived.

采用小参数摄动法，导出了系统的一阶和二阶控制方程，边界条件，连续条件，平衡条件及相容条件。

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Some sufficient conditions are obtained for the oscillation of first order neutral differential-difference equations with positive and negative periodic coefficients.

本文获得了一阶正负周期系数的中立型微分差分方程振动的充分条件。

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But in truth they did not have much of a contest to savour as the Irish top order capitulated against the Indian left-arm seamers who relished bowling first in the overcast conditions.

BBC: Ruthless India outclass Ireland

The order said they should be given first aid treatment or treatment "depending upon their conditions".

BBC: Delhi rape: Court says all hospitals 'must treat' victims

The First-tier Tribunal (Immigration and Asylum Chamber) Fees Order 2011 also sets out conditions under which an appellant may be exempt from paying or have the fee refunded.

BBC: Government to set fees for immigration appeals