锦屏一级水电站左岸卸荷拉裂松弛岩体灌浆加固研究

 针对强卸荷、松弛拉裂、强震损伤岩体灌浆加固工程中陡倾裂隙面浆液漏量大、加固效果差的技术难题,研发SJP–1型黏度时变型水泥–化学浆液(水灰比0.6);探讨高分子外掺剂对水化硅酸钙生成速度的影响;提出水泥–化学浆液的溶剂化膜理论。研究结果表明：新型水泥–化学浆液可泵期30～90 min,初凝90～210 min,终凝130～290 min,后期强度高出普通水泥浆10%～20%。SJP–1型浆液可避免速凝水泥浆早期强度高、后期强度低的缺陷,并成功地应用于锦屏一级水电站卸荷拉裂岩体和汶川地震灾区损伤岩体的灌浆加固工程。     

Global unique solvability for memristive circuit DAEs of Index 1

Known solvability results for nonlinear index‐1 differential‐algebraic equations (DAEs) are in general local and rely on the Implicit Function Theorem. In this paper, we derive a global result which guarantees unique solvability on a given time interval for a certain class of index‐1 DAEs with certain monotonicity conditions. Based on this result, we show that memristive circuit DAEs arising from the modified nodal analysis are uniquely solvable if they fulfill certain passivity and network topological conditions. Furthermore we present an error estimation for the solution with respect to perturbations on the right‐hand side and in the initial value. Copyright © 2013 John Wiley & Sons, Ltd.     

关于一类集值半线性方程的可解性

利用非线性分析方法研究自反Banach空间中在算子T，L，C的各种单调和紧性条件下，集值半线性方程，f∈Tx＋Lx＋Cx可解性，得到一个新的结论，改进了相关结果．     

Solvability of the Diophantine equations xp + 22m y4 = pk z2 and xp + y2 = pk z4

We study the solvability of two classes of Diophantine equations by using some new methods and new results in this paper.Letp be an odd prime and Bn denote nth Bernoulli number.We prove that ifp ≡ 1(mod 4)andp |B(p-1)/2,then the equationxp +22mn4 = pky2,m,n,k ∈ N ,k ＞ 1,gcd(x,py)= 1,and the equationxp +y2 =pkz4,k ∈ N,gcd(x,y)= 1,k ＞ 1,21 y have no integral solutions respectively.     

Stochastic linear-quadratic optimal control problems — Recent developments

In this paper, we present a brief survey for some recent developments of stochastic linear-quadratic optimal controls. We mainly concentrate on the results obtained by the authors and their collaborators in the last decay.