An ethno-medicinal investigation was conducted to understand the traditional knowledge of medicinal plants being used by the Maninuri tribe in Bangladesh. The present study was done through structured questionnaires i...An ethno-medicinal investigation was conducted to understand the traditional knowledge of medicinal plants being used by the Maninuri tribe in Bangladesh. The present study was done through structured questionnaires in consultations with the tribal practitioners. A total 32 plant species belonging to 26 families and 29 genera were found to use for Curing 37 ailments. Results show that the use of aboveground plant parts was higher (86%) than the underground plant parts (14%). Leaf was used in the majority of cases for medicinal preparation (17 species) followed by bark, fruit, root/rhizome, whole plant, seed and flower. Among the 32 plant species, they were mainly used to treat dysentery (10 species), followed by fever and rheumatism (5 species each); asthma, constipation, wounds and skin diseases (4 species each); cold ailments, cough and diarrhea (3 species each). The study revealed that 72% plant species investigated were used to cure more than one ailment. About 75% medicinal plants were taken orally followed by externally (9%) and both orally and externally (16%). The study thus underscores the potentials of the ethno-botanical research and the need for the documentation of indigenous healthcare knowledge pertaining to the medicinal plant utilization for the greater benefit of mankind.展开更多
The existence of solutions for one dimensional p-Laplace equation (φp(u′))′=f(t,u,u′) with t∈(0,1) and Фp(s)=|s|^p-2 s, s≠0 subjected to Neumann boundary value problem at u′(0) = 0, u′(1) = 0....The existence of solutions for one dimensional p-Laplace equation (φp(u′))′=f(t,u,u′) with t∈(0,1) and Фp(s)=|s|^p-2 s, s≠0 subjected to Neumann boundary value problem at u′(0) = 0, u′(1) = 0. By using the degree theory, the sufficient conditions of the existence of solutions for p-Laplace equation subjected to Neumann boundary value condition are established.展开更多
Sound propagation and the initial value problems in gas mixtures of two components are investigated. By using the eigen theory of linearized Boltzmann equations, a model equations is formed, with the use of the Fourie...Sound propagation and the initial value problems in gas mixtures of two components are investigated. By using the eigen theory of linearized Boltzmann equations, a model equations is formed, with the use of the Fourier-Laplace transform for model equations derived, the dispersion relations for both components are obtained.展开更多
The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds. The characteristic theorems of 2-type...The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds. The characteristic theorems of 2-type Chen submanifolds,mass-symmetrie hypersurfaces and Dupin hypersurfaces in E_3~m are obtained. The classification theorems of 3-type hypersurfaces and null 2-type curves in E_3~m are also proved.展开更多
The author obtains some theorems for a function to be the scalar curvature of some complete conformal metric of a noncompact complete Riemann manifold, and also presents a kind of manifolds oil which Yamabe problem is...The author obtains some theorems for a function to be the scalar curvature of some complete conformal metric of a noncompact complete Riemann manifold, and also presents a kind of manifolds oil which Yamabe problem is unsolvable.展开更多
Let eλ(x) be a Neumann eigenfunction with respect to the positive Laplacian λ on a compact Riemannian manifold M with boundary such that A eλ = λ2eλ in the interior of M and the normal derivative of ex vanishes...Let eλ(x) be a Neumann eigenfunction with respect to the positive Laplacian λ on a compact Riemannian manifold M with boundary such that A eλ = λ2eλ in the interior of M and the normal derivative of ex vanishes on the boundary of M. Let xλ be the unit band spectral projection operator associated with the Neumann Laplacian and f be a square integrable function on M. The authors show the following gradient estimate展开更多
文摘An ethno-medicinal investigation was conducted to understand the traditional knowledge of medicinal plants being used by the Maninuri tribe in Bangladesh. The present study was done through structured questionnaires in consultations with the tribal practitioners. A total 32 plant species belonging to 26 families and 29 genera were found to use for Curing 37 ailments. Results show that the use of aboveground plant parts was higher (86%) than the underground plant parts (14%). Leaf was used in the majority of cases for medicinal preparation (17 species) followed by bark, fruit, root/rhizome, whole plant, seed and flower. Among the 32 plant species, they were mainly used to treat dysentery (10 species), followed by fever and rheumatism (5 species each); asthma, constipation, wounds and skin diseases (4 species each); cold ailments, cough and diarrhea (3 species each). The study revealed that 72% plant species investigated were used to cure more than one ailment. About 75% medicinal plants were taken orally followed by externally (9%) and both orally and externally (16%). The study thus underscores the potentials of the ethno-botanical research and the need for the documentation of indigenous healthcare knowledge pertaining to the medicinal plant utilization for the greater benefit of mankind.
文摘The existence of solutions for one dimensional p-Laplace equation (φp(u′))′=f(t,u,u′) with t∈(0,1) and Фp(s)=|s|^p-2 s, s≠0 subjected to Neumann boundary value problem at u′(0) = 0, u′(1) = 0. By using the degree theory, the sufficient conditions of the existence of solutions for p-Laplace equation subjected to Neumann boundary value condition are established.
基金Supported by National Natural Science Foundation of China under Grant No.10861008the "211 Project" Innovative Talents Training Program of Inner Mongolia University and Grant-in-Aid for Scientific Research from Inner Mongolia University of Technology under Grant No.ZS201032
文摘Sound propagation and the initial value problems in gas mixtures of two components are investigated. By using the eigen theory of linearized Boltzmann equations, a model equations is formed, with the use of the Fourier-Laplace transform for model equations derived, the dispersion relations for both components are obtained.
基金Supported by the National Fundations of Natural sciences. Supported by the Henan Fundations of Scientific Committee.
文摘The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds. The characteristic theorems of 2-type Chen submanifolds,mass-symmetrie hypersurfaces and Dupin hypersurfaces in E_3~m are obtained. The classification theorems of 3-type hypersurfaces and null 2-type curves in E_3~m are also proved.
文摘The author obtains some theorems for a function to be the scalar curvature of some complete conformal metric of a noncompact complete Riemann manifold, and also presents a kind of manifolds oil which Yamabe problem is unsolvable.
基金supported by the National Natural Science Foundation of China(Nos.10971104,11271343,11101387)the Anhui Provincial Natural Science Foundation(No.1208085MA01)the Fundamental Research Funds for the Central Universities(Nos.WK0010000020,WK0010000023,WK3470000003)
文摘Let eλ(x) be a Neumann eigenfunction with respect to the positive Laplacian λ on a compact Riemannian manifold M with boundary such that A eλ = λ2eλ in the interior of M and the normal derivative of ex vanishes on the boundary of M. Let xλ be the unit band spectral projection operator associated with the Neumann Laplacian and f be a square integrable function on M. The authors show the following gradient estimate