对应模型中微连续类在两种拓扑下的应用

本文研究了微连续子类的性质 ,证明了 :S′( X,Y)在 *一致收敛拓扑下是 Ym X的闭集 ;若 X是 P空间 ,则 S( X,Y)在图拓扑下在 Ym

非连续相聚合物微溶胶合成及液流转向效果评价

渤海S稠油油藏具有储层厚度大、岩石胶结强度低、非均质性严重、原油黏度高和优质筛管完井等特点,经过长期注水开发,储层中已经形成优势通道,注入水效率低和无效循环现象十分严重,现有调剖调驱剂难以适应储层地质和开发现状。依据生产实际需求,以高分子化学、物理化学和油藏工程等理论为指导,以仪器分析、化学分析和物理模拟等为技术手段,以渤海S油藏为模拟对象,开展了非连续相聚合物微溶胶合成和液流转向效果实验研究。结果表明,通过在丙烯酰胺(AM)与2-丙烯酰胺-2-甲基丙磺酸钠(Na-AMPS)共聚过程中引入2种交联单体,合成出的微溶胶TQ具有较丰富空间网络结构和易分解特征,且粒径中值可控、分选好,可以进入储层深部,在岩心水驱达到经济极限后采收率增幅可以达到14.6%。研究成果和认识为矿场技术决策提供了实验依据。

Microstructure and properties of Al-0.70Fe-0.24Cu alloy conductor prepared by horizontal continuous casting and subsequent continuous extrusion forming

A novel process for manufacturing A1-0.70Fe-0.24Cu alloy conductor was proposed, which includes horizontal continuous casting and subsequent continuous extrusion forming （Conform）. The mechanical properties, electrical conductivity and the compressed creep behaviour of the alloy were studied. The results indicate that the Conform process induces obvious grain refinement, strain-induced precipitation of AI7CuzFe phase and the transformation of crystal orientation distribution. The processed alloy has good comprehensive mechanical properties and electrical conductivity. Moreover, a better creep resistance under the conditions of 90 ~C and 76 MPa is shown compared with pure A1 and annealed copper, and the relationship between primary creep strain and time may comply with the logarithmic law. The enhanced properties are attributed to the grain refinement as well as the fine and homogeneously distributed thermally stable A1Fe and A17Cu2Fe precipitation phases.

带有随机干扰和确定投资回报风险过程下的一些分布

我们考虑既带有随机干扰又带有确定投资回报的风险过程,得到了破产前瞬间盈余的分布F_δ(u,x)及破产前瞬间盈余和破产时赤字的联合分布H_δ(u,x,y)所满足的积分表达,连续性及二次连续可微性和积分-微分方程.同时.只有随机干扰的风险模型下的破产前瞬间盈余的分布及破产前瞬间盈余和破产时赤字的联合分布所满足的性质也被得到.已有文献中的诸多有关结果均可以通过令我们结论中的某些参数特殊化为零而得到.

Oscillation of Nonlinear Partial Difference Equations with Continuous Variables

This paper is concerned with the oscillation of nonlinear partial difference equations with continuous variables and the corresponding dual equations. Several sufficientconditions are obtained for the oscillation of these equations.

Microstructure and properties of biodegradable co-continuous(HA+β-TCP)/Zn−3Sn composite fabricated by vacuum casting-infiltration technique

The co-continuous(HA+β-TCP)/Zn−3Sn composite was fabricated via vacuum casting-infiltration method.The microstructure,mechanical properties,corrosion behaviors,and hemolysis ratio of the composite were studied by scanning electron microscope,X-ray diffractometer,mechanical testing,electrochemical test,immersion test,and ultraviolet spectrophotometry.The results indicate that Zn−3Sn alloy infiltrated into porous HA+β-TCP scaffold,which resulted in the formation of a compact(HA+β-TCP)/Zn−3Sn co-continuous composite,without any reaction layer between the Zn−3Sn alloy and the HA+β-TCP scaffold.The compressive strength of the composite was equal to about 3/4 that of Zn−3Sn alloy bulk.The corrosion rate of composite in simulated body fluid solution was slightly higher than that of Zn−3Sn alloy bulk.The main corrosion product on the composite surface was Zn(OH)2.The hemolysis rate of the composite was lower than that of Zn–3Sn alloy bulk and exhibited superior blood compatibility.

On Stability of Solutions of a Certain Fourth-Order Functional Differential Equations

Using a Razumikhin-type theorem,we obtain sufficient conditions for the global asymptotic stability of the zero solution of a certain fourth order functional differential equations.The result generalizes the well known results.

Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

In this paper,some equivalent conditions for differentiability of condtinuous gauge function are given.

A Note on Ho¨lder Continuity of the Gradient of the Solutions for u t= div(|u| p-2 u)

In , Ho¨lder continuity for the spatial gradient of weak solutions ofu t= div(|u| p-2 u) in Ω T= Ω ×(0,T)was established, where = grad x, Ω R N . We discuss here how the conditionp> max {1, 2N N+2 }is determined by the behaviour of u . Theorem implies that for solution in L N loc (Ω T ), the condition for the gradient of solution being H o¨ lder continuous needs only p>1 .

Optimality conditions for sparse nonlinear programming

The sparse nonlinear programming （SNP） is to minimize a general continuously differentiable func- tion subject to sparsity, nonlinear equality and inequality constraints. We first define two restricted constraint qualifications and show how these constraint qualifications can be applied to obtain the decomposition properties of the Frechet, Mordukhovich and Clarke normal cones to the sparsity constrained feasible set. Based on the decomposition properties of the normal cones, we then present and analyze three classes of Karush-Kuhn- Tucker （KKT） conditions for the SNP. At last, we establish the second-order necessary optimality condition and sufficient optimality condition for the SNP.

Continuity of Weak Solutions for Quasilinear Parabolic Equations with Strong Degeneracy

The aim of this paper is to study the continuity of weak solutions for quasilinear degenerate parabolic equations of the form： μt-△φ（μ） = 0 ,where φ ε C1（R^1） is a strictly monotone increasing function. Clearly, the above equation has strong degeneracy, i.e., the set of zero points of φ＇（.） is permitted to have zero measure. This is an answer to an open problem in [13, p. 288].

A SIMPLE SMOOTH EXACT PENALTY FUNCTION FOR SMOOTH OPTIMIZATION PROBLEM

For smooth optimization problem with equMity constraints, new continuously differentiable penalty function is derived. It is proved exact in the sense that local optimizers of a nonlinear program are precisely the optimizers of the associated penalty function under some nondegeneracy assumption. It is simple in the sense that the penalty function only includes the objective function and constrained functions, and it doesn＇t include their gradients. This is achieved by augmenting the dimension of the program by a variable that controls the weight of the penalty terms.

Weak Continuity and Compactness for Nonlinear Partial Differential Equations

This paper presents several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role. The compactness and convergence of vanishing viscosity solutions for nonlinear hyperbolic conservation laws are first analyzed, including the inviscid limit from the Navier-Stokes equations to the Euler equations for homentropic flow, the vanishing viscosity method to construct the global spherically symmetric solutions to the multidimensional compressible Euler equations, and the sonic-subsonic limit of solutions of the full Euler equations for multi-dimensional steady compressible fluids. Then the weak continuity and rigidity of the Gauss-Codazzi-Ricci system and corresponding isometric embeddings in differential geometry are revealed. Further references are also provided for some recent developments on the weak continuity and compactness for nonlinear partial differential equations.

On Poincaré-Type Continuum and Certain of Its Basic Properties

This is an expositive paper reflecting certain viewpoint of intuitionists for the structure of continuum. What we provide is a descriptive theory for Poincaré-type continuum whose first hyperstandard model （PC） was given previously^[3]. Here we construct a new hyperstandard model [PC] instead of （PC）, and present three propositions related to the concept of semi-infinitesimal. Finally, an application of R （non-Cantorian continuum） in Calculus is expounded.Keywords Poincar6＇s intimate bond （IB）; hyperstandard microinterval; semi-infinitesimal; non-punctiform element.

OSCILLATION OF A FORCED SECOND ORDER NONLINEAR EQUATION

This paper gives several criteria on the oscillatory behavior of solutions of the forced secondorder equation x″+ a(t)i(x) = g(t), where g(t) is oscillatory) by using a geometric idea. Asspecial cases these results include and improve some recent results, given by J. S. Wong. Thecriteria also solve the problem posed by H. Onose in Mathematical Reviews, 1986.

ON SOLUTIONS OF TWO-SCALE DIFFERENCE EQUATIONS

This paper is concerned with solutions of the following two-scale difference equations: f(x)=NΣ anf(2x-n). The conditions for the solvability and the iteractive solvability of this kind ofequstions in certain spaces are obtained respectively.

IMPULSIVE CONTROL IN MICROORGANISMS CONTINUOUS FERMENTATION

This work presents the nonlinear dynamical system of continuous fermentation from glycerol to 1,3-propanediol. The impulsive control scheme of continuous culture is intro- duced. By employing impulsive control, Lyapunov＇s method and comparison technique, sufficient conditions are established for the asymptotical stability and synchronization of the dynamical system of continuous fermentation. The upper bound of the impulse interval is also estimated. An example will illustrate the effectiveness of the results in Sec. 4.