文中使用一种更为有效的方法研究了一种更广的非线性偏差变元微分方程x′(t)+sum from i=j to n (p_i(t)f_i(x(g_(i1)(t)),x(g_(i2)(t)),…,x(g_(imi)(t))+h(t, x(t)), x(g_1(t)),...,x(g_m(t))=0的解振动的充分条件。所得结果包含了Hun...文中使用一种更为有效的方法研究了一种更广的非线性偏差变元微分方程x′(t)+sum from i=j to n (p_i(t)f_i(x(g_(i1)(t)),x(g_(i2)(t)),…,x(g_(imi)(t))+h(t, x(t)), x(g_1(t)),...,x(g_m(t))=0的解振动的充分条件。所得结果包含了Hunt等人的结果,并在很大程度上完善和发展了Shreve等人的结果。所给例子很难用别的方法来处理。展开更多
To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem...To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.展开更多
提出一种基于扫频光学相干层析术(SSOCT)的重建人体皮下微血管三维结构的新算法。该方法利用搭建的手持式人体皮肤微血管扫频光学相干层析系统,采用多帧B扫描对数强度血流图像微分标准偏差计算,获取人体皮肤在体截面图像和微血管正面图(...提出一种基于扫频光学相干层析术(SSOCT)的重建人体皮下微血管三维结构的新算法。该方法利用搭建的手持式人体皮肤微血管扫频光学相干层析系统,采用多帧B扫描对数强度血流图像微分标准偏差计算,获取人体皮肤在体截面图像和微血管正面图(en face image)。实验结果证明,与现有的对数强度微分标准偏差算法(DSDLI)相比,本文算法能够更好地恢复出血流图像信息,在重建图像中可以明显看到原算法的处理结果中看不出的血流细节,更有利于光学相干层析术(OCT)系统在癌症、糖尿病、酒色斑等疾病在医学诊断方面的现实应用。展开更多
The exact solutions of the generalized (2+1)-dimensional nonlinear Zakharov-Kuznetsov (Z-K) equationare explored by the method of the improved generalized auxiliary differential equation.Many explicit analytic solutio...The exact solutions of the generalized (2+1)-dimensional nonlinear Zakharov-Kuznetsov (Z-K) equationare explored by the method of the improved generalized auxiliary differential equation.Many explicit analytic solutionsof the Z-K equation are obtained.The methods used to solve the Z-K equation can be employed in further work toestablish new solutions for other nonlinear partial differential equations.展开更多
By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″（t） ＋ f（x′（t）） ＋ h（x（t））x′（t） ＋ g（x（t - τ...By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″（t） ＋ f（x′（t）） ＋ h（x（t））x′（t） ＋ g（x（t - τ（t））） ≈ p（t）, some sufficient conditions on the existence of periodic solutions are obtained.展开更多
Expanded graphite （r-;G） shows higher adsorption capacity for oils than for dyes. To illustrate the different adsorption mechanism of EG for these pollutants, adsorption capacities of dyes and oil on EG were firs...Expanded graphite （r-;G） shows higher adsorption capacity for oils than for dyes. To illustrate the different adsorption mechanism of EG for these pollutants, adsorption capacities of dyes and oil on EG were firstly studied. And then stepwise adsorption for oils was carried out with EG which has been saturated firstly by dyes, the difference between adsorbance of oil on EG was checked with deviation analysis. Scanning electronic microscopy （SEM） analysis was used to show structure difference of EG adsorbed different adsorbates. These used adsorbates were SD300 oil, basic fuchsine, Auramine lake yellow O and acid brilliant red 3B. The adsorption isotherm of dyes on EG is type 11 or type 1, and their equilibrium adsorbances are less than 1.0 g/g. While, adsorbance for SD300 oil can reach 104.5 g/g. Deviation analysis for stepwise adsorbances of oil shows no statistical significance. EG saturated firstly by dyes, still has an average adsorption capacity of 35 g/g for SD300 oil, and it does not change with the initial dyes concentration. SEM photos illustrate the adsorption of oil on EG is mainly filling, In the adsorption of dyes, there is severe breakage of the V-type pore and shrinkage of the particle. Kinetic difference is analyzed also.展开更多
文摘文中使用一种更为有效的方法研究了一种更广的非线性偏差变元微分方程x′(t)+sum from i=j to n (p_i(t)f_i(x(g_(i1)(t)),x(g_(i2)(t)),…,x(g_(imi)(t))+h(t, x(t)), x(g_1(t)),...,x(g_m(t))=0的解振动的充分条件。所得结果包含了Hunt等人的结果,并在很大程度上完善和发展了Shreve等人的结果。所给例子很难用别的方法来处理。
文摘To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.
文摘提出一种基于扫频光学相干层析术(SSOCT)的重建人体皮下微血管三维结构的新算法。该方法利用搭建的手持式人体皮肤微血管扫频光学相干层析系统,采用多帧B扫描对数强度血流图像微分标准偏差计算,获取人体皮肤在体截面图像和微血管正面图(en face image)。实验结果证明,与现有的对数强度微分标准偏差算法(DSDLI)相比,本文算法能够更好地恢复出血流图像信息,在重建图像中可以明显看到原算法的处理结果中看不出的血流细节,更有利于光学相干层析术(OCT)系统在癌症、糖尿病、酒色斑等疾病在医学诊断方面的现实应用。
基金Supported by the National Natural Science Foundation of China under Grant No.10974160
文摘The exact solutions of the generalized (2+1)-dimensional nonlinear Zakharov-Kuznetsov (Z-K) equationare explored by the method of the improved generalized auxiliary differential equation.Many explicit analytic solutionsof the Z-K equation are obtained.The methods used to solve the Z-K equation can be employed in further work toestablish new solutions for other nonlinear partial differential equations.
基金the Natural Science Foundation of Anhui Province(050460103)the Natural Science Foundation by the Bureau of Education of Anhui Province(2005kj031ZD)
文摘By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″（t） ＋ f（x′（t）） ＋ h（x（t））x′（t） ＋ g（x（t - τ（t））） ≈ p（t）, some sufficient conditions on the existence of periodic solutions are obtained.
文摘Expanded graphite （r-;G） shows higher adsorption capacity for oils than for dyes. To illustrate the different adsorption mechanism of EG for these pollutants, adsorption capacities of dyes and oil on EG were firstly studied. And then stepwise adsorption for oils was carried out with EG which has been saturated firstly by dyes, the difference between adsorbance of oil on EG was checked with deviation analysis. Scanning electronic microscopy （SEM） analysis was used to show structure difference of EG adsorbed different adsorbates. These used adsorbates were SD300 oil, basic fuchsine, Auramine lake yellow O and acid brilliant red 3B. The adsorption isotherm of dyes on EG is type 11 or type 1, and their equilibrium adsorbances are less than 1.0 g/g. While, adsorbance for SD300 oil can reach 104.5 g/g. Deviation analysis for stepwise adsorbances of oil shows no statistical significance. EG saturated firstly by dyes, still has an average adsorption capacity of 35 g/g for SD300 oil, and it does not change with the initial dyes concentration. SEM photos illustrate the adsorption of oil on EG is mainly filling, In the adsorption of dyes, there is severe breakage of the V-type pore and shrinkage of the particle. Kinetic difference is analyzed also.
