By applying fixed point theorem, the existence of positive solution is considered for superlinear semipositone singular m-point boundary value problem -（Lφ）（x）=（p（x）φ′（x））′＋q（x）φ（x） and ξi ∈ （0,...By applying fixed point theorem, the existence of positive solution is considered for superlinear semipositone singular m-point boundary value problem -（Lφ）（x）=（p（x）φ′（x））′＋q（x）φ（x） and ξi ∈ （0,1）with 0〈ξ1〈ξ2……〈ξm-2〈1,αi ∈ R^＋,f ∈C[（0,1）×R^＋,R^＋],f（x,φ） may be singular at x=0 and x=1,g（x）：（0,1）→R is Lebesgue measurable, g may tend to negative infinity and have finitely many singularities.展开更多
In this paper, mainly by means of the coincidence degree method, the existence of solutions for m-point boundary value problems at resonance of second order ordinary differential equations is discussed.
Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive...Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.展开更多
In this paper, we study the multiplicity of positive solutions to the following m-point boundary value problem of nonlinear fractional differential equations： Dqu（t） ＋ f（t, u（t）） = 0, 0 t 1, u（0） = 0, u（1）...In this paper, we study the multiplicity of positive solutions to the following m-point boundary value problem of nonlinear fractional differential equations： Dqu（t） ＋ f（t, u（t）） = 0, 0 t 1, u（0） = 0, u（1） =sum （μiDpu（t）｜t = ξi ） from i =1 to ∞ m-2, where q ∈R , 1 q ≤2 , 0 ξ1 ξ2 ··· ξm-2 ≤ 1/2 , μi ∈[0 , ＋∞） and p = q-1/2 , Γ（q） sum （μiξi（q-1）/2 Γ（（ q＋1）/2） from i =1 to ∞ m-2,Dq is the standard Riemann-Liouville differentiation, and f ∈C （[0 , 1]×[0 , ＋∞） , [0 , ＋∞））. By using the Leggett-Williams fixed point theorem on a convex cone, some multiplicity results of positive solutions are obtained.展开更多
In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel’skii fixed-point theor...In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel’skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained.展开更多
In this article, we establish the existence of at least two positive solutions for the semi-positone m-point boundary value problem with a parameter u （t） ＋ λf （t, u） = 0, t ∈ （0, 1）, u （0） = sum （biu （ξ...In this article, we establish the existence of at least two positive solutions for the semi-positone m-point boundary value problem with a parameter u （t） ＋ λf （t, u） = 0, t ∈ （0, 1）, u （0） = sum （biu （ξ i ）） from i=1 to m-2, u（1）= sum （aiu（ξ i ）） from i=1 to m-2, where λ 〉 0 is a parameter, 0 〈 ξ 1 〈 ξ 2 〈 ··· 〈 ξ m 2 〈 1 with 0 〈sum ai from i=1 to m-2 〈 1, sum bi from i=1 to m-2 =1 b i 〈 1, a i , b i ∈ [0, ∞） and f （t, u） ≥ M with M is a positive constant. The method employed is the Leggett-Williams fixed-point theorem. As an application, an example is given to demonstrate the main result.展开更多
By using fixed-point theorems, some new results for multiplicity of positive solutions for some second order m-point boundary value problems are obtained.The associated Green＇s function of these problems are also given.
By using fixed-point theorems, some new results for multiplicity of positive solutions for a class of second order m-point boundary value problem are obtained. The associated Green＇s function of this problem is also ...By using fixed-point theorems, some new results for multiplicity of positive solutions for a class of second order m-point boundary value problem are obtained. The associated Green＇s function of this problem is also given.展开更多
The paper is concerned with the existence and multiplicity of positive solutions for a nonlinear m-point boundary value problem. The proofs are based on a fixed-point theorem and a fixed-point index theorem in cones.
Sufficient conditions for the existence of positive solution to superlinear semi-positone singular m-point boundary value problem are given by cone expansion and compression theorem in norm type.
By constructing a particular closed convex set and applying the Monch fixedpoint theorem, we study the existence of positive solution for a class of singular m-point boundary value problems.
Multiplicity of positive solutions to some second order m-point boundary value problems are considered.By fixed-point theorems in a cone,some new results are obtained.The associated Green’s function of these problems...Multiplicity of positive solutions to some second order m-point boundary value problems are considered.By fixed-point theorems in a cone,some new results are obtained.The associated Green’s function of these problems are also given.展开更多
In his paper,we obtain a general theorem concerning the existence of solutions to an m-point boundary value problem for the second-order differential equation with impulses.Moreover,the result can also be applied to s...In his paper,we obtain a general theorem concerning the existence of solutions to an m-point boundary value problem for the second-order differential equation with impulses.Moreover,the result can also be applied to study the usual m-point boundary value problem at resonance without impulses.展开更多
By a fixed point theorem,some new results on the multiplicity of positive solutions to some m-point boundary value problems of second-order functional differential equations are obtained.The associated Green’s functi...By a fixed point theorem,some new results on the multiplicity of positive solutions to some m-point boundary value problems of second-order functional differential equations are obtained.The associated Green’s functions of the problems are also given.展开更多
针对散料杂货港口需要检测靠离泊大型散货船以避免事故的需求,考虑到船体方形系数大的特点,将完整船体的检测任务简化为对船只近岸侧外壁的平面特征提取任务,因此,提出了一种基于快速点特征直方图(Fast point feature histogram,FPFH)...针对散料杂货港口需要检测靠离泊大型散货船以避免事故的需求,考虑到船体方形系数大的特点,将完整船体的检测任务简化为对船只近岸侧外壁的平面特征提取任务,因此,提出了一种基于快速点特征直方图(Fast point feature histogram,FPFH)的模板匹配与改进的M采样估计一致性(M-estimate sample consensus,MSAC)平面拟合的船只近岸侧外壁平面特征提取方法。首先根据现场情况等先验知识设定模板点云,在采集原始点云后进行预处理,获得目标点云;然后估计法向量,计算FPFH特征并进行模板匹配,获得船只近岸侧外壁平面点云;根据船只近岸侧外壁平面点云的法向量方向进行层次密度聚类(Hierarchical density-based spatial clustering of applications with noise,HDBSCAN),再进行考虑法向量因子的MSAC平面拟合,从而提取出靠离泊船只近岸侧外壁的平面特征。经现场数据验证,该方法比现有方法具有更低的平均相对误差,且处理每帧点云用时的标准差也更低,帧均用时也低于雷达每帧采样用时,可以满足现场实时性需求。展开更多
基金Foundation item： Supported by the National Natural Science Foundation of China（10671167） Supported by the Research Foundation of Liaocheng University（31805）
文摘By applying fixed point theorem, the existence of positive solution is considered for superlinear semipositone singular m-point boundary value problem -（Lφ）（x）=（p（x）φ′（x））′＋q（x）φ（x） and ξi ∈ （0,1）with 0〈ξ1〈ξ2……〈ξm-2〈1,αi ∈ R^＋,f ∈C[（0,1）×R^＋,R^＋],f（x,φ） may be singular at x=0 and x=1,g（x）：（0,1）→R is Lebesgue measurable, g may tend to negative infinity and have finitely many singularities.
文摘In this paper, mainly by means of the coincidence degree method, the existence of solutions for m-point boundary value problems at resonance of second order ordinary differential equations is discussed.
文摘Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.
基金supported by Hunan Provincial Natural Science Foundation of China(11JJ3009)supported by the Scientific Research Foundation of Hunan Provincial Education Department(11C1187)the Construct Program of the Key Discipline in Hunan Province
文摘In this paper, we study the multiplicity of positive solutions to the following m-point boundary value problem of nonlinear fractional differential equations： Dqu（t） ＋ f（t, u（t）） = 0, 0 t 1, u（0） = 0, u（1） =sum （μiDpu（t）｜t = ξi ） from i =1 to ∞ m-2, where q ∈R , 1 q ≤2 , 0 ξ1 ξ2 ··· ξm-2 ≤ 1/2 , μi ∈[0 , ＋∞） and p = q-1/2 , Γ（q） sum （μiξi（q-1）/2 Γ（（ q＋1）/2） from i =1 to ∞ m-2,Dq is the standard Riemann-Liouville differentiation, and f ∈C （[0 , 1]×[0 , ＋∞） , [0 , ＋∞））. By using the Leggett-Williams fixed point theorem on a convex cone, some multiplicity results of positive solutions are obtained.
基金supported by the National Natural Science Foundation of China(10971173)the Natural Science Foundation of Hunan Province(10JJ3096)
文摘In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel’skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained.
基金Supported by Fund of National Natural Science of China (No. 10371068)Science Foundation of Business College of Shanxi University (No. 2008053)
文摘In this article, we establish the existence of at least two positive solutions for the semi-positone m-point boundary value problem with a parameter u （t） ＋ λf （t, u） = 0, t ∈ （0, 1）, u （0） = sum （biu （ξ i ）） from i=1 to m-2, u（1）= sum （aiu（ξ i ）） from i=1 to m-2, where λ 〉 0 is a parameter, 0 〈 ξ 1 〈 ξ 2 〈 ··· 〈 ξ m 2 〈 1 with 0 〈sum ai from i=1 to m-2 〈 1, sum bi from i=1 to m-2 =1 b i 〈 1, a i , b i ∈ [0, ∞） and f （t, u） ≥ M with M is a positive constant. The method employed is the Leggett-Williams fixed-point theorem. As an application, an example is given to demonstrate the main result.
基金the Natural Science Foundation of Anhui Educational Department(Kj2007b055) Youth Project Foundation of Anhui Educational Department(2007jqL101,2007jqL102)
文摘By using fixed-point theorems, some new results for multiplicity of positive solutions for some second order m-point boundary value problems are obtained.The associated Green＇s function of these problems are also given.
文摘By using fixed-point theorems, some new results for multiplicity of positive solutions for a class of second order m-point boundary value problem are obtained. The associated Green＇s function of this problem is also given.
基金The paper is supported by NNSFC (10471155)SRFDP (20020558092) SFGD (031608).
文摘The paper is concerned with the existence and multiplicity of positive solutions for a nonlinear m-point boundary value problem. The proofs are based on a fixed-point theorem and a fixed-point index theorem in cones.
基金supported by the National Natural Science Foundation of China(10671167)the Research Foundation of Liaocheng University(31805).
文摘Sufficient conditions for the existence of positive solution to superlinear semi-positone singular m-point boundary value problem are given by cone expansion and compression theorem in norm type.
基金The project is supported by the National Natural Science Foundation of China(10671167)the Research Foundation of Liaocheng University(31805).
文摘By constructing a particular closed convex set and applying the Monch fixedpoint theorem, we study the existence of positive solution for a class of singular m-point boundary value problems.
基金sponsored by Natural Science Foundation of Anhui Educational Department(Kj2007b055)Youth Project Foundation of Anhui Educational Department(2007jqL101,2007jqL102)
文摘Multiplicity of positive solutions to some second order m-point boundary value problems are considered.By fixed-point theorems in a cone,some new results are obtained.The associated Green’s function of these problems are also given.
基金Sponsored by the National Natural Science Foundation of China(No.10971238)
文摘In his paper,we obtain a general theorem concerning the existence of solutions to an m-point boundary value problem for the second-order differential equation with impulses.Moreover,the result can also be applied to study the usual m-point boundary value problem at resonance without impulses.
基金sponsored by the Natural Science Foundation of Anhui Educational Department(KJ2009B100)Youth Project Foundation of Anhui Educational Department(2009SQRZ155)
文摘By a fixed point theorem,some new results on the multiplicity of positive solutions to some m-point boundary value problems of second-order functional differential equations are obtained.The associated Green’s functions of the problems are also given.
文摘针对散料杂货港口需要检测靠离泊大型散货船以避免事故的需求,考虑到船体方形系数大的特点,将完整船体的检测任务简化为对船只近岸侧外壁的平面特征提取任务,因此,提出了一种基于快速点特征直方图(Fast point feature histogram,FPFH)的模板匹配与改进的M采样估计一致性(M-estimate sample consensus,MSAC)平面拟合的船只近岸侧外壁平面特征提取方法。首先根据现场情况等先验知识设定模板点云,在采集原始点云后进行预处理,获得目标点云;然后估计法向量,计算FPFH特征并进行模板匹配,获得船只近岸侧外壁平面点云;根据船只近岸侧外壁平面点云的法向量方向进行层次密度聚类(Hierarchical density-based spatial clustering of applications with noise,HDBSCAN),再进行考虑法向量因子的MSAC平面拟合,从而提取出靠离泊船只近岸侧外壁的平面特征。经现场数据验证,该方法比现有方法具有更低的平均相对误差,且处理每帧点云用时的标准差也更低,帧均用时也低于雷达每帧采样用时,可以满足现场实时性需求。
