线性双曲最优控制问题的P^(2)_(0)-P_(1)混合有限元方法的先验误差估计

针对线性双曲最优控制问题,通过非标准的P^(2)_(0)-P_(1)混合有限元方法,利用椭圆投影、标准L^(2)投影、标准L^(2)-正交投影算子等理论,其中状态和对偶状态采用P^(2)_(0)-P_(1)混合有限元逼近,控制变量采用分片常数逼近,给出问题模型中所有变量的先验误差估计.

Practical φ_0-stability of stochastic differential equations and corresponding stochastic perturbation theory

The notions of practical φ0-stability were introduced for stochastic differential equations. Sufficient conditions on such practical properties were obtained by using the comparison principle and the cone-valued Lyapunov function methods. Based on an extended comparison theorem, a perturbation theory of stochastic differential systems was given.

Integral <i>Φ</i>₀-Stability of Impulsive Differential Equations

In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.

带有P_0函数的非线性互补问题的一个新的非内点连续算法

研究带有P_0函数的非线性互补问题.基于一个新的光滑函数,把问题近似成参数化的光滑方程组,并且给出一个新的非内点连续算法.所给算法在每步迭代只需要求解一个线性方程组和执行一次Armijo类型的线搜索.在不需要严格互补条件的情况下,证明了算法是全局收敛和超线性收敛的.并且,在一个较弱的条件下该算法具有局部二阶收敛性.数值实验证实了算法的可行性和有效性.

有机物及钴含量对锌电解的影响

湿法炼锌过程出现烧板情况,分析原因主要是因有机物、钴含量异常引起。对铟萃余液中P_(2)0_(4)和煤油进行化验定量分析,在电解实验中找出萃取液中适合锌电解的P_(2)0_(4)和煤油最高允许值,采用活性碳吸附铟萃余液中的有机物P_(2)0_(4),并验证含钴量对析出锌质量的影响,通过试验等研究了锌电解系统中的有机物、钴含量和采取处理的措施,解决锌电解烧板问题,取得了较好的效果。

A_(c)(2880)^(+)2D波激发态的强衰变

在^(3)P_(0)模型框架下,计算A_(c)(2880)^(+)作为2D波激发态的衰变宽度和分支比,确定其量子态并探究内部激发模式.计算结果表明:A_(c)(2880)^(+)有可能是2D激发态A_(c2)(3/2^(+)),J^(P)=3/2^(+),且n_(ρ)=1、l_(λ)=2,为径向ρ激发、轨道λ激发的激发模式,总衰变宽度Γ_(total)=18.53 MeV,分支比比值R=Γ(Λ_(c)(2880)^(+)→Σ_(c)(2520)π)/Γ(Λ_(c)(2880)^(+)→Σ_(c)(2455)π)=0.16;也可能是2D激发态A'_(c2)(3/2^(+)),J^(P)=3/2^(+),且n_(λ)=1、l_(λ)=2,为径向λ激发、轨道λ激发的激发模式,总衰变宽度Γ_(total)=1.69 MeV,分支比比值R=Γ(Λ_(c)(2880)^(+)→Σ_(c)(2520)π)/Γ(A_(c)(2880)^(+)→Σ_(c)(2455)π)=0.10.

Practical ф_0 -stability of switched stochastic nonlinear systems and corresponding stochastic perturbation theory

The aim of this paper is to study the practical φ0-stability in probability （Pφ0 SiP） and practical ~o-stability in pth mean （Pφ0SpM） of switched stochastic nonlinear systems. Sufficient conditions on such practical properties are obtained by using the comparison principle and the cone-valued Lyapunov function methods. Also, based on an extended comparison principle, a perturbation theory of switched stochastic systems is given.

随机P矩阵和随机P_0矩阵线性互补问题

定义了随机P矩阵和随机P_0矩阵,给出了矩阵为随机P矩阵或随机P_0矩阵的充要条件.研究了随机线性互补问题(SLCP)的矩阵为随机P矩阵时,期望残差方法(ERM)解集的有界性.得到了期望矩阵为P矩阵时,(ERM)解集非空有界.并且研究离散情形(ERM)与期望值方法(EV)解的关系,给出了(ERM)解唯一的条件.

原核生物基因组的CDS与ORF序列的几点分析

基因组的开放阅读框(ORF)是基因识别与基因组分析的基础,有多种软件包给出了它们的生成算法,但结果与指标并不统一.本文给出了po-MORF的定义与它的生成算法,证明了由基因组所确定的po-MORF集合的存在与唯一性,并由该生成算法可以得到全部po-MORF序列.我们还比较了若干原核生物基因组中所有CDS与po-MORF序列的相互关系,并讨论了关于基因识别中的有关问题.

聚离子液体的制备及其对La^(3+)的吸附试验研究

研究制备了聚1-丁基-3-乙烯基咪唑溴盐(P[BVIM]Br-MNPs)、聚1-己基-3-乙烯基咪唑溴盐(P[HVIM]Br-MNPs)、聚1-辛基-3-乙烯基咪唑溴盐(P[OVIM]Br-MNPs)3种聚离子液体固相吸附剂,考察了P_(2)0_(4)掺杂比、固相吸附剂用量、吸附时间、吸附温度、水相初始pH和La^(3+)浓度对3种聚离子液体吸附La^(3+)的影响,用Langmuir与Freundlich等温吸附模型对试验数据进行拟合。结果表明:在吸附温度70℃、1 g P[OVIM]Br-MNPs掺杂1 mL P_(2)0_(4)条件下,P[OVIM]Br-MNPs对La^(3+)的饱和吸附量为57.80 mg/g,吸附效果较好,吸附过程以单层吸附为主。

Delay-dependent stability analysis of Runge-Kutta methods for neutral delay differential equations

The aim of this paper is to study the asymptotic stability properties of Runge Kutta(R-K) methods for neutral differential equations(NDDEs) when they are applied to the linear test equation of the form: y′(t)=ay(t)+by(t-τ)+cy’(t-τ), t>0, y(t)=g(t), -τ≤t≤0, with a,b,c∈[FK(W+3mm\.3mm][TPP129A,+3mm?3mm,BP], τ>0 and g(t) is a continuous real value function. In this paper we are concerned with the dependence of stability region on a fixed but arbitrary delay τ. In fact, it is one of the N.Guglielmi open problems to investigate the delay dependent stability analysis for NDDEs. The results that the 2,3 stages non natural R-K methods are unstable as Radau IA and Lobatto IIIC are proved. And the s stages Radau IIA methods are unstable, however all Gauss methods are compatible.

半线性椭圆最优控制问题非标准混合有限元方法的误差估计

针对半线性椭圆最优控制问题,标准L^(2)-正交投影、椭圆投影及标准L^(2)-投影算子等作为理论研究基础,采用非标准的P_(0)^(2)-P_(1)混合有限元方法,给出问题模型中所有变量的误差估计.在最优控制问题的数值解中,采取P_(0)^(2)-P_(1)混合有限元逼近状态和对偶状态,在分片常数逼近中,将控制变量视为在每个单元上都是常函数.