Positive solutions for boundary value problems of second order difference equations and their computation

We consider the following two classes of second order boundary value problems for difference equation:

     

一类非线性差分系统边值问题解的存在性

本文应用临界点理论建立了一类非线性差分系统边值问题解的存在性定理,所得结论推广了相关文献的结果.     

Generalized vector-valued paranormed sequence space using modulus function

In this paper we introduce a generalized vector-valued paranormed sequence space N_p(E_k,Δ^m,f,s) using modulus function f, where p=(p_k) is a bounded sequence of positive real numbers such that inf_kp_k>0,(E_k,q_k) is a sequence of seminormed spaces with E_k+1⊆E_k for each k ∈ N and s?0. We have also studied sequence space N_p(E_k,Δ^m,f^r,s), where f^r=f°f°f°,…,f (r-times composition of f with itself) and r∈N={1,2,3,…}. Results regarding completeness, K-space, normality, inclusion relations etc. are derived. Further, a study of multiplier of the set N_p(E_k,f,s) is also made by choosing (E_k,‖·‖_k) as sequence of normed algebras.     

Quartic spline methods for solving one-dimensional telegraphic equations

In this paper, by using a quartic spline in space and generalized trapezoidal formula in time direction, one-dimensional telegraphic equations are solved. We present new classes of two-level schemes. The accuracy of these methods are O(k²+h⁴). It has been shown that by suitably choosing parameter, a high accuracy scheme of O(k³+h⁴) can be derived from our methods. Numerical results demonstrate the superiority of the new scheme.     

Global behavior of a discrete haematopoiesis model with several delays

In this paper, we study the difference equation:

     

弹光调制器准单色光波偏振测量与仿真

弹光调制器(Photoelastic Modulator,PEM)互差频调制的新型偏振测量方法,能够同时实现三个斯托克斯光谱偏振参数测量,克服了现有方法的无法用阵列探测器有效采集,调制频率高的缺点,保留了原有弹光调制器偏振测量的优点。文章以光学系统的准单色光的偏振特性以及常用的偏振分析方法为基础,引入了Stokes矢量来表示入射光波的偏振特性。分析了弹光调制器实现偏振测量新方法的原理,利用三个弹光调制器工作在互相差异的频率上,对偏振光进行差频调制,产生载有偏振信息的低频分量,再通过锁相放大即可得到偏振信息,并给出利用MATLAB模拟仿真实现Stokes参量复原的过程。理论分析及仿真结果证明了该方法在理论上的可行性。     

Gorenstein Flat Covers over GF-Closed Rings

We prove that all modules over a left GF-closed ring have Gorenstein flat covers.