The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals

In this paper, both low order and high order extensions of the Iyengar type inequality are obtained. Such extensions are the best possible in the same sense as that of the Iyengar inequality. hzrthermore, the Chebyshev central algorithms of integrals for some function classes and some related problems are also considered and investigated.     

Multi-path propagation of acoustical wave and time reversal field in a solid plate

The multi-path effect of the acoustical wave in a solid plate is studied. The multireflection and wave conversion of the cylindrical compressional and shear waves, which are excited by an infinite strip on a free surface of the solid plate, are analyzed thoroughly by the far-field approximation method. The concise analytical representations of the cylindrical waves are obtained. The time reversal processing is then applied to the propagation of the cylindrical waves and analyzed theoretically and experimentally. It is shown that the waves coming from different array elements and different paths all arrive at the original place after the time reversal operation. It indicates that the time reversal can compensate automatically the wave aberration caused by the multi-path effect. The self-adaptive focusing of the time reversal field is also analyzed quantificationally by the focusing gain and the ratio of the principal to the second lobe. The effects of the focus position and the aperture of the transducer array on the focused field are also investigated. It shows that theoretical and experimental results are consistent to each other very well.     

具P-Laplacian算子型周期边值问题解的存在性

本文利用拓扑度理论和一些分析技巧讨论了具p—Laplacian算子型周期边值问题(φp(χ’))’+d/dt gradF(χ)+gradG(χ)=e(t),χ(0)=χ(T),χ’(0)=χ’(T)解的存在性,在对阻尼项d/dtgradF(χ)没有任何限制的前提下,给出了解存在的充分条件.     

Sobolev-Hardy不等式与临界双重调和问题

该文讨论一类带有奇异系数的双重调和方程{△^2u-μu/|x|^s=f(x,u),x∈Ω,u=δu/δv=0,x∈δΩ，这里Ω包含R^N是包含0的有界光滑区域，u∈H0^2(Ω），μ∈R是参数，0≤s≤2,△^2=△△表示双重拉普拉斯算子，当f(x,u)=u^p,p=2N/N-4时，上述问题就是一个临界双重调和问题，该文运用Sobolev-Hardy不等式和变分方法，得到它的解的存在性的一些结果。     

浅析信息不对称对我国农产品市场的影响及对策

中国经济社会发展最大的问题是"三农"问题,"三农"问题的核心是农民问题,而农民问题的核心是农民增收问题。增收就需要完善的市场体系,所以农产品市场体系的建设就成为现阶段我国经济建设中最重要的环节。但是,在这一过程中却存在着一个尤为突出的问题——信息不对称问题。这就使得我国经济的发展严重受到了约束,如何解决农产品市场信息不对称问题便成为我国经济建设的当务之急。     

Temporal Skewness of Electromagnetic Pulsed Waves Propagating Through Random Media with Ebedded Irregularity slab

Electromagnetic pulsed waves can be distorted in the propagation through random media,and their energy distributions change along the leading and trailing edge of the waveform,which can be presented by the temporal skewness.The skewness presents asymmetry and is treated by the third-order temporal moment,in which an analytic solution for the two-frequency mutual coherence function is obtained recently.Then,transionospheric pulses are discussed in details,Both theoretical analysis and numerical computation indicate that the contributions from scattering and dispersion of irregularities dominate over those of background,so the latter can be neglected in most cases.Also,the temporal skewness of a transionopheric pulse is negative and energy is shifted to the leading edge.     

在不均匀受热的情况下涡轮叶片的叶型弯角对其温度情况和热应力状态的影响

本文对在不稳定的温度制度下涡轮叶片的叶型弯角对其温度情况和热应力状态的影响进行了评述，表明：当不均匀受热时，弯角对叶型上的温度分布和温度水平存在不重要的影响，但是，由于内部关系在叶片的边缘上热应力的程度变化很明显。显示出当由于不均匀受热外部关系限制到它们的热弯曲时，在涡轮导向器叶片和工作叶片上产生高强度热应力的可能性与弯角的值无关。     

使用非单调技术的不精确预条件牛顿类方法解非线性方程组

本文提供了预条件不精确牛顿型方法结合非单调技术解光滑的非线性方程组．在合理的条件下证明了算法的整体收敛性．进一步，基于预条件收敛的性质，获得了算法的局部收敛速率，并指出如何选择势序列保证预条件不精确牛顿型的算法局部超线性收敛速率．     

关于一类非散度型非线性退化抛物方程的一些结果

In this paper, we are concerned with the initial and boundary value problem for the following equations not in divergence form: