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排序方式: 共有291条查询结果,搜索用时 15 毫秒
21.
主要研究一类三阶两点边值问题变号解的存在性和多重性,利用不动点指数和拓扑度理论等得到了新的结论. 相似文献
22.
用单调迭代法研究一类三阶微分方程边值问题解的存在性,不仅证明了该问题解的存在性,而且得到了其迭代格式. 相似文献
23.
A class of third-order convergence methods of solving roots for non-linear equation,which are variant Newton's method,are given.Their convergence properties are proved.They are at least third order convergence near simple root and one order convergence near multiple roots.In the end,numerical tests are given and compared with other known Newton's methods.The results show that the proposed methods have some more advantages than others.They enrich the methods to find the roots of non-linear equations and they are important in both theory and application. 相似文献
24.
25.
The dimensionless third-order nonlinear Schrödinger equation (alias the Hirota equation) is investigated via deep leaning neural networks. In this paper, we use the physics-informed neural networks (PINNs) deep learning method to explore the data-driven solutions (e.g. bright soliton, breather, and rogue waves) of the Hirota equation when the two types of the unperturbated and perturbated (a 2% noise) training data are considered. Moreover, we use the PINNs deep learning to study the data-driven discovery of parameters appearing in the Hirota equation with the aid of bright solitons. 相似文献
26.
In order to determine the characteristics of the peristaltic transport of shear thinning non-Newtonian materials, the motion of a third-order fluid in a planar channel having walls that are transversely displaced by an infinite, harmonic traveling wave of large wavelength and negligibly small Reynolds number was analyzed using a perturbation expansion in terms of a variant of the Deborah number. Within the range of validity of this analysis, we found the pumping rate of a shear-thinning fluid is less than that for a Newtonian fluid having a shear viscosity the same as the lower-limiting viscosity of the nonNewtonian material. Also, the space of variables for which trapping of a bolus of fluid occurs is reduced for the shear-thinning fluid investigated here. 相似文献
27.
In this paper,we study the existence of positive solutions for the nonlinear singular third-order three-point boundary value problemu (t) = λa(t)f(t,u(t)),u(0) = u (1) = u (η) = 0,where λ is a positive parameter and 0 ≤ η 1 2 .By using the classical Krasnosel’skii’s fixed point theorem in cone,we obtain various new results on the existence of positive solution,and the solution is strictly increasing.Finally we give an example. 相似文献
28.
Tzonka Mineva 《Journal of Chemical Sciences》2005,117(5):485-490
The third term in the Taylor expansion of the total energy functional around the number of electronsN is evaluated as the second-order derivative of orbital Kohn-Sham energies with respect to orbital occupancy. Present approach
is an extension of an efficient algorithm to compute densityfunctional based orbital reactivity indices. Various energy derivatives
used to approximate orbital reactivity indices are defined within the space spanned by the orbital occupation numbers and
the Kohn-Sham one-electron energies. The third-order energy functional derivative has to be considered for singular hardness
tensor ([η]). On the contrary, this term has negligible influence on the reactivity index values for atomic or molecular systems
with positively defined hardness tensors. In this context, stability of a system in equilibrium state estimated through the
eigenvalues of [η] is discussed. Numerical illustration of the Kohn-Sham energy functional derivatives in orbital resolution
up to the third order is shown for benchmark molecules such as H2O, H2S, and OH−. 相似文献
29.
晶体中三阶有效非线性系数的计算方法 总被引:5,自引:2,他引:3
经过对x(3)ijkl的脚标进行简化压缩处理,首次得出了全部晶体点群共11种不同的X(3)im矩阵表达形式及Kleinman对称条件成立下的简化形式,给出了各类晶体中四波相互作用过程中X(3)^eff的计算方法。 相似文献
30.
取代基对卟啉三阶光学非线性及弛豫过程的影响 总被引:3,自引:3,他引:0
研究了取代基对卟啉三阶光学非线性和激发态弛豫过程的影响,发现在同一取代位置,推电子基团取代使得卟啉三阶光学非线性极化纱数X值相对影响,而吸电子基团取代使得卟啉X值相对减少,对同一取代基在不同取代装置,发现推电子基团在邻位取代的X值大于其在对位取代卟啉的X值,而吸电子基团在邻位取代的X值小于其在对位取代卟啉的X值,另外,还发现推电子基团取代的卟啉弛豫过程比吸电子基团取代的卟啉弛豫过程快7倍。 相似文献