非齐的

The proof relies on regular approximation, the fixed point theorem, the embedding theorems, the semigroup theory and a series of complicated estimates.

然后，利用此结果，通过区域正则化逼近及半群理论获得各种估计，并给出了非齐次Liouville-Poisson模型的整体古典解。

The paper presents a linear transient solution for the solitary wave generated by a piston-type paddle in a finite flume based on the boundary condition derived by Dean and Dalrymple (1991). The wavemaker problem is simplified by decomposing the wave potential into two parts. One is the evanescent wave and the other is progressive wave. The possible solution for the evanescent wave is expressed in form of the Fourier series.

本文根据Dean与Dalrymple（1991）描述造波水槽内部之线性边界条件，将水槽内部之流速势分为振荡波与前进波以简化问题，再以Fourier级数展开，可将问题化为二非齐次常微分方程式，在给定造波初始条件的情况下即可解析有限长度造波水槽自静止开始造波一段时间后停止之线性暂态解。

Differential equation of a damped forced vibration and its solution.

有阻尼强迫振动微分方程的标准形式，二阶常系数非齐次微分方程。

In the first part we consider the convergence and stability of finite difference scheme for Landau-Lifshitz equation in one dimensions space and 2d radial symmetric Landau-Lifshitz equation.

在第一部分，我们研究一维Landau-Lifshitz方程非齐次边值问题和二维柱对称Landau-Lifshitz方程Neumann边值问题的有限差分格式。

We further study the forced oscillation and we obtain the oscillation criteria for the unbounded solutions of the in-homogeneous hyperbolic equation.

我们还研究了强迫振动并且得到了非齐次双曲方程无界解的振动判别准则。

The semiboundless mixed problem of the fractional diffusion equation with the third kind nonhomogeneous boundary condition is studied.

研究了一维半无界分数阶扩散方程具有第三类非齐次边条件的混合问题。

Is the general solution of the equation .

是二阶非齐次线性方程的通解。

Later, we estimate our variational functional to get a nontrivial solution of the new equation and so the second solution for is obtained.

然后我们利用函数平移将原来的非齐次边界问题转化为奇次边界问题，验证了其对应的变分泛函满足不带条件的山路引理的两个条件，并给出了泛函临界点存在的一个充分条件，最后对具体的变分泛函进行估计，得到了新方程非平凡解的存在性结果，从而得到了原方程第二个正解的存在性结果。

First,the determinant is regarded as a function of or- der n and denoted by D;Second,the determinant is expanded by row or by column,then the relation in both of Dand subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a non homogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.

给出了用递归关系方法求任意 n 阶行列式的值的一般方法：首先，把已知的 n 阶行列式看作为阶数 n 的一个函数，记为 D；其次，按行或按列展开这个行列式，并仔细观察存在于余子式及 D里的关系，建立关于 D的某一递归关系，此关系总为一个齐次的或非齐次的递归关系；最后，借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。

Large supply of non-hybrid seeds for vegetables, grains and herbs; make sure they are of the non-GMO, non-hybrid, propagating variety; also be sure to have instructions on how to harvest seeds including information on "moldering" techniques to properly collect seeds from certain plants such as tomatoes; note lastly that due to damp low-sunlight conditions many crops will not grow without growing lights and protection from rain; special research is therefore required on which crops will grow best (for instance, patty rice should grow better than wheat under damp conditions); also be sure to take into account the climactic change which results from the change in latitude due to the pole shift as a location which does not change greatly in latitude will fare better than one which falls in the vicinity of the new poles for instance; the pole shift theory presented on Zeta Talk states that the terrestrial North Pole will move to the middle of the Atlantic off the bulge of Brazil and ultimately one will need to observe the climate and the position of the sun to figure out the new latitude, and either adapt or re-locate as needed

要有许多蔬菜，谷物和草药的的非杂交种子；确信它们是非转基因，非杂交的，是用于繁殖的品种。也得确信具有怎样收获种子的指导书说明，包括&制造&技术方面的信息，以便恰当地收集某些植物的种子，例如西红柿。最后得注意，由于幽暗的低阳光环境，在没有阳光，以及没有其进行雨水防护的情况下庄稼将不会下生长。因而需要进行特别的研究，看看哪种庄稼在这种条件下生长得最好（例如，在昏暗的状况下，水稻应该比小麦生长的更好）。也要确信考虑了极移造成纬度改变，因而导致气候变化。例如，与那些位于新极点附近的地方相比，纬度变化不特别大的地方情况要好得多。齐塔人之声讲述的极移理论表明了地球北极会移动到大西洋中部的巴西隆起处。最后需要观察气候状况以及太阳的位置，以弄清楚新的纬度，根据需要，即可适应当地的条件，又可再次搬迁。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。