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Lastly, the existence theorem of three positive solutions for the boundary value problem of second-order singular functional differential equation be established by applying the index theory of fixed points in a cone.

最后,我们应用锥上的不动点指标理论建立了二阶非线性奇异泛函微分方程边值问题的三个正解的存在性定理。

I don't think I can walk any further.

我想我再也走不动了。

Maintain gaggle not to move what have many subgroup system namely, do not mix, should strengthen segregation.

保持鹅群不动即有多个小群体的,不要混合,应加强隔离。

I'm! j! ust getting too old to be digging up a garden plot.

我已经太老,挖不动菜圃了。

Im just getting too old to be digging up a garden plot.

我已经太老,挖不动菜圃了。

Digging up a garden plot. I know if you

我已经太老,挖不动菜圃了。

I'm! j! ust getting too old to be digging up a garden plot. I know if you were here my!

了! 。我已经太老,挖不动菜圃了。

Taking advantage of gauge transformation and dipolar approximation, we qualitatively derive rotating Bose-Hubbard model.Then finite temperature phase boundary between superfluid phase and normal state in rotating Bose-Hubbard model is analytically derived by studying the stability of normal state in rotating bosonic optical lattice.We also analytically prove that as the function of rotation angular velocity the oscillation of critical hopping matrix directly follows the upper boundary of Hofstadter butterfly.

4通过做一个规范变换和偶极近似,定性地推导了旋转Bose-Hubbard模型,并且通过研究正常态不动点的稳定性推广了旋转Bose-Hubbard模型的零温相图到有限温度的情形;另外根据系统有效的能带宽度与旋转速度的关系(Hofstadter蝴蝶),得到了系统的临界跃迁矩阵随旋转速度的改变展示谐振行为的结论。

For the previous nonsmooth equations model and fixed mesh method, a new nonsmooth damped Newton method is given based on the definition of the generalized derivative.

本文对不动点法的收敛性分析为迭代法的收敛提供了理论依据。

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

在p-凸度量空间内,引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列,证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

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歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车,和一双合并为一移交&整个lotta爱&。

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