查询词典 unstable solution

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

The polymeric sol is obtained by process of preparing a calcium salt solution, containing calcium ethoxide dissolved in organic acid, and a phosphate solution, containing triethyl phosphite or triethyl phosphate dissolved in the organic acid, mixing the calcium salt solution with the phosphate solution to produce a mixed solution, and aging the mixed solution.

本发明的磷酸钙化合物的聚合物溶胶是通过如下步骤制备的：制备含有溶解在有机酸中的乙醇钙的钙盐溶液和含有溶解在该有机酸中的亚磷酸三乙酯或磷酸三乙酯的磷酸盐溶液；及将该钙盐溶液和该磷酸盐溶液混和制得混合溶液，并老化该混合溶液。

An alkaline solution containing mercaptides is regenerated in an improved process wherein the alkaline solution to be regenerated containing a suitable oxidation catalyst is contacted with an oxygen-containing solvent which is immiscible with said alkaline solution in a reaction zone comprising a plurality of fibers positioned longitudinally within a conduit, whereby the two liquids are in contact while concurrently flowing through said reaction zone during which the mercaptides contained in the alkaline solution are oxidized to disulfides and are simultaneously extracted from the alkaline solution into the solvent solution.

包含 mercaptides 的碱解决在一个改良的程序被再产生在何处碱的解决被再产生包含一个适当的氧化催化剂与被说反应的碱的解决组成一个纤维的多数地域纵观地放置在一个导管里面的对一个包含氧的溶剂感到不能相混合的一起连络，那里当协同地流动过说的反应地域的时候，这二种液体保持接触在哪一个期间包含在碱的解决 mercaptides 被使氧化到 disulfides 而且同时地从碱的解决到有偿付能力的解决被吸取。

The oil shale ash is disintegrated into fine powder less than 150 eye to be calcined at a certain temperature, then sulfuric acid solution is added for performing acid dipping, after solid-liquid separation and solid residue removal, aluminum sulfate solution is obtained and is then filtered after sodium hydroxide solution is added in, further metallic ions as Ca2 , Mg2 , Fe3 , Fe2 and the like are filtered from the solution, thereby sodium aluminate solution is obtained, gas of carbon dioxide is communicated into the sodium aluminate solution to obtain aluminum hydroxide sediment, and after drying and calcining aluminum hydroxide powder is obtained.

将油页岩灰渣粉碎至＜150目的细粉，在一定温度下煅烧，加入硫酸溶液进行酸浸，固液分离，去除固体残渣，得硫酸铝滤液，加氢氧化钠溶液后过滤，滤除溶液中的Ca 2 、Mg 2 、Fe 3 、Fe 2 等金属离子，得偏铝酸钠溶液，向偏铝酸钠溶液通入二氧化碳气体，得到氢氧化铝沉淀，经烘干、煅烧得到氢氧化铝粉末。

In the process of analytical solution, the divergent item can be give up according to the physical meaning of the solution. But there is no chance to give up the divergent item in the step-by-step integration method. This is why the numerical solution is unstable.

在比较了含有此发散项的该通解的数值结果与平均常加速度法的计算结果后，发现它们是一致的，从而找到了逐步积分法不稳定的原因，即逐步积分法不能避开方程解集中的不稳定子集（从而导致了一种发散性的不稳定）。

To obtain a complete picture about shock formation in non-viscous flow, in the succeeding chapter we investigate the isothermal shocks in adiabatic flows. We find that in this case the shock solution still exists, but the structure and the properties of the solution are greatly different from above even qualitatively. In some region of the parameter space there only exists unstable shock solution and in some region of the parameter space there may exist two stable shock solutions.

为得到完整的无粘流体中激波形成的图象，在接下来的第四章，我们研究绝热流体中等温作为激波条件时的情况，发现此时激波解仍存在，但解的结构和性质甚至在定性上都与前两章有了显著的不同：某些参数空间只存在非稳定的激波解，某些参数空间则会同时出现两个稳定的激波解。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

The invention discloses an InP quantum point preparing method, comprising the steps of:(1) mixing InCl3 with trioctylphosphine oxide, and preserving heat at 90-110DEG C to prepare a solution whose In content is 0.1-0.3mol/L;(2) raising temperature to 130-180DEG C, and charging argon gas;(3) injecting PSi(CH333 into InCl3-TOPO compound in the molar ratio of 1 to 1-1 to 2;(4) when the solution color turns into transparent red or orange, raising temperature to 260-270DEG C and preserving heat;(5) lowering temperature to 90-110DEG C and injecting dodecyl amine, decyl amine or mercaptan;(6) dissolving reacting mixture in nonpolar solvent to form transparent colloidal solution, then adding in polar solution until the colloidal solution is muddy, and centrifugally separating and obtaining deposits and supernatant; and (7) centrifugally separating the supernatant, where the above steps (1)-(5) are performed.

本发明公开了一种InP量子点的制备方法，其步骤为：①将InCl 3 与三辛基氧膦混合，在90～110℃保温制得In含量为0.1～0.3mol/L的溶液；②升温到130～180℃，通入氩气；③将PSi(CH 3 3 3 注射入InCl 3 -TOPO复合物中，其摩尔比为1∶1～1∶2；④待溶液颜色变为透明的红色或橙红色，将升温260～270℃保温；⑤降温到90～110℃，注入十二胺、癸胺或硫醇；⑥将反应混合物溶于非极性溶剂，形成透明的胶体溶液，然后加入极性溶剂，直至胶体溶液出现混浊状，然后离心分离获得沉积物和上层清液；⑦取上层清液进行离心分离。上述步骤①～⑤在保护气氛下进行。

Local lesion assay indicated that when mixed with TMV-infected leaf juice dilution within 3 minutes, 5 disinfectants showed 100% inactivation ratio, including 30% chloride of lime 1:9 solution, 98% trisodium phosphate 1:9 solution, 7% sodium hypochlorite 1:150 solution, anonymity disinfectant used in USA 1:125 solution, and 75% alcohol solution.

摘 要：为了指导烟草漂浮育苗中剪叶工具消毒剂的使用，采用半叶法测定了9种药剂对烟草病叶汁液中TMV的钝化效果，采用叶面喷雾法测定了药剂对烟草的药害浓度与药害症状。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。