Uniform asymptotic stability for perturbed neutral delay differential equations

One-dimensional perturbed neutral delay differential equations of the form (x(t)−P(t,x(t−τ)))′=f(t,x_t)+g(t,x_t) are considered assuming that f satisfies −v(t)M(φ)?f(t,φ)?v(t)M(−φ), where M(φ)=max{0,max_s∈[−r,0]φ(s)}. A typical result is the following: if ‖g(t,φ)‖?w(t)‖φ‖ and , then the zero solution is uniformly asymptotically stable providing that the zero solution of the corresponding equation without perturbation (x(t)−P(t,x(t−τ)))′=f(t,x_t) is uniformly asymptotically stable. Some known results associated with this equation are extended and improved.     

Existence for nonoscillatory solutions of higher-order nonlinear neutral difference equations

In this paper, we consider the following forced higher-order nonlinear neutral difference equation

     

FUNCTIONS OF POLYAMINES IN ROSIN SIZING UNDER NEUTRAL PAPERMAKING CONDITIONS

Functions of the polyamines in neutral rosin sizing were investigated using X-ray photoelectron spectroscopy(XPS) and laser diffraction particle analysis. The polyamine with a higher charge density and a smaller unite size could retainmore rosin and cover larger fiber surfaces. The XPS spectra demonstrated that polyallylamine.(PAAm) and polyvinylamine(PVAm) could react with a rosin size to form a-OC-N-CO-structure, but polydimethylamino ethyl methacrylate(PDMAEMA) could not, The formation of this structure may be a key step for effective sizing.     

线性中立型单延迟系统李代数稳定性判据

研究了线性中立型单延迟微分系统的稳定性.从矩阵李代数可解性角度,推导出新的简单的延迟独立稳定性判据.该新判据的重要意义和优越性在于首次突破了以往大多数相关文献的稳定性判据在应用上受条件‖C‖<1,ρ(|C|)<1或ρ(|N|)<1的限制,从而首次成功确定了在‖C‖≥,ρ(|C|)≥1和ρ(|N|)≥1的情形下中立型延迟微分系统渐近稳定性.最后,通过两个例子显示了新判据的优越性.     

Packets in Grothendieck's section conjecture

The goal of this article is to show a part of Grothendieck's section conjecture using the identification of sections with neutral fiber functors as defined in [H. Esnault, P.H. Hai, The fundamental groupoid scheme and applications, preprint, 2006, 34 pp.].     

Experimental tests of the spectroscopic coupling for neutral oxygen

The radiation emitted from a high-current wall-stabilized arc operated in helium with some admixture of CO₂ has been studied. Intensities of fine structure components for 10 multiplets of neutral oxygen (O I) have been determined applying the emission method. On the basis of measured line intensities relative line strengths within each studied multiplet have been obtained. The results are compared with data resulting from the LS-coupling scheme and with other theoretical as well as experimental results available in literature.     

Existence and uniqueness of positive periodic solutions for a neutral Logarithmic population model

In this paper, by using an abstract continuous theorem of k-set contractive operator, the criteria is established for the existence, global attractivity of positive periodic solution of a neutral delay Logarithmic population model with multiple delays. The result improve the known ones in [S.P. Lu, W.G. Ge, Existence of positive periodic solutions for neutral Logarithmic population model with multiple delays, J. Comput. Appl. Math. 166 (2) (2004) 371-383].