查询词典 nontrivial solution

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 chapter four,at first,we investigate classification theory of the positive homogeneous p-Laplacian equation ,the main method is Prufer's transformation,and then we discuss the nontrivial solution for associated nonhomogeneous equation by making use of Leray-Schauder degree.

接着研究了非齐次方程的可解性。在第四章中，我们首先是建立了正齐次p-Laplacian 方程的分类理论，主要利用Prufer 变换。再应用Leray-Schauder 度理论证明非齐次方程的可解性。

It s difficult to discuss the existence of nontrivial solution for an elliptic equation involving critical exponent.

利用集中紧引理和Hardy不等式克服这个困难，运用山路引理证明了一类非线性椭圆方程非平凡解的存在性

Based on a chosen normalized boundary equation, a new normalized boundary equation can be established such that the irregularity of the kernel of integral equations is overcame. Finally, natural frequency is obtained by the existence condition of nontrivial solution of the discrete algebraic equations derived from the integral equations.

边界方程有多种选择，在选定一种边界方程的基础上，可以通过建立一个新的边界方程来表示问题的边界，以克服积分核的奇异性；最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。

Under the conditions of Ambrosetti-Rabinowitz type superlinear and odd duality, we show that the systems have at least one nontrivial solution and infinitely many solutions.

在Ambrosetti-Rabinowitz型超线性条件及具备奇对偶性条件下，得到了方程组分别有一个解及无穷多个解的存在性结果。

In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.

使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。由于难以得到所讨论的问题的基本解，因此研究中对基本解进行了估计，并证明了c条件

He existence and stability of the nontrivial and nonnegative steady-state solution of an ecological predator-prey system with the reaction-diffusion term are discussed.

应用渐近展开的方法构造生物学里提出的一类具有反应扩散项的捕食者─食饵系统的非平凡非负定态解，并应用固有值的解析摄动理论对所获得的非平凡非负定态解进行了稳定性分析。

Finally, natural frequency is obtained by the existence condition of nontrivial solution of the numerically discrete algebraic equations derived from the integral equations.

最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。

Under some conditions we obtain the existence of nontrivial solution by analyzing the best Sobolev embedding constant and by use of the minimax theorems without conditions.

通过使用没有条件的极小极大定理，以及对最佳Sobolev嵌入常数的详细分析，得到了一些具临界Sobolev指数的半线性椭圆系统的真正非平凡解的存在性，并讨论了解的一些性质。

The paper deals with the existence of nontrivial solution s to a class of nonlinear Hammerstein eigenvalue problems using the cone theory and the topological approach.

运用锥理论和拓扑方法研究一类非线性Hammerstein本征值问题的非平凡解。最后，把抽象结果应用于研究Lidstone本征值问题的非平凡的存在性

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。