一类带奇性的椭圆型方程的正解

通过山路引理，研究一类带奇性的椭圆型方程正解的存在性问题。利用变分方法，得出在α的某一条件下此方程存在正解。     

阳离子乳化沥青应用于道路养护

文章论述了乳化沥青的概念，详细叙述了乳化沥青在道路透层、黏层、路面防水层、稀浆封层和桥面防水层等部位中的应用情况。     

一类二阶中立型微分不等式最终正解的不存在性

研究一类二阶非线性中立型微分不等式,利用广义Riccati变换、平均技巧以及微分不等式理论,给出了该类不等式最终正解不存在的若干充分条件.     

一类非线性奇异边值问题正解的存在性

通过构建一个闭凸集，运用Month不动点定理，研究了Banach空间中奇异边值问题正解的存在性．     

具有Sturm-Liouville边界条件的四阶奇异微分方程正解的存在性

利用极值原理和上下解方法给出了具有Sturm-Liouville边界条件的四阶奇异微分方程C2[0,1]和C3[0,1]正解的存在性,允许非线性项f(t,u)在u=0和t=0,1处可以是奇异的。     

一类二阶非线性p-Laplace边值问题的三个正解(英文)

利用不动点定理,得到了p-Laplace非线性边值问题(φp(u′))′+a(t)f(t,u,u′)=0,αφp(u(0))-βφp(u′(0))=0,γφp(u(1))+δφp(u′(1))=0三个正解存在的充分条件,并给出了一个实例.     

二阶四点边值问题正解的存在性

利用不动点指数定理，得到了非线性项含有一阶导数的情况下，二阶四点边值问题正解的存在性结果．     

一类二阶Dirichlet边值问题正解的存在性

文章运用不动点指数理论得到了一类含有一阶导数项的二阶微分方程在Dirichlet边界条件下正解的存在性结果.     

Sequence analysis of the Microcystis aeruginosa FACHB-912 phytochrome gene supports positive selection in cyanobacteria

The phytochrome gene from Microcystis aeruginosa FACHB-912,isolated from algal blooms in Taihu Lake in China,was sequenced and found to code for a wavelength transition light receptor protein.The gene was composed of five distinct domains:a PAS fold domain,a GAF domain,a phytochrome domain,a His Kinase A(phosphoacceptor) domain,and a histidine kinase domain.Red-absorbing phytochrome,far-red-absorbing phytochrome,and photoconversion kinetics were monitored via the spectral characteristics of the protein.To detect positive selection,homologous sequences from cyanobacterium phytochrome genes were obtained from GenBank.Potential selective pressure was identified by phylogenetic analysis with maximum likelihood analyses.The frequency of the phytochrome gene being subjected to selective constraints suggests that positive selection is a potentially important mechanism that promotes the evolution of the cyanobacteria phytochrome gene.The sites identified in this study provide targets for further research on the structural-functional role of these residues,and on the correlation with the mechanism of algal blooms.     

三阶非线性系统三点边值问题的正解(英文)

研究了三阶非线性系统u′″(t)=f(t,u(t)),t∈[t_1,t_3]在满足边值条件u(t_1)=u′(t_2)=0,γu(t_3)+δu″(t_3)=0下正解的存在性,其中u=(u_1,…,u_n),γ=diag[γ_1,…,γ_n],δ=diag[δ_1,…,δ_n].运用Leray-Schauder型非线性抉择和Krasnosel'skii不动点定理,建立了此问题单个和两个正解的存在性结果,并举例说明了所得结论的有效性.