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
In this paper,the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the carefu...In this paper,the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green’s function in which the derivative of unknown function is involved in the nonlinear term explicitly.An example illustrating our main result is given.Our results complement the previous work in the area of the positive solutions of fractional differential equations.展开更多
By using Mawhin＇s continuation theorem, the existence of solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained. An example is given to demonstrate the main r...By using Mawhin＇s continuation theorem, the existence of solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained. An example is given to demonstrate the main result of the paper.展开更多
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Supported by the National Natural Science Foundation of China(12001152)the Natural Science Foundation of Anhui Province(A2008085QA08,KJ2020A0089,KJ2021A0927)
文摘In this paper,the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green’s function in which the derivative of unknown function is involved in the nonlinear term explicitly.An example illustrating our main result is given.Our results complement the previous work in the area of the positive solutions of fractional differential equations.
基金The work is sponsored by Youth Project Foundation of Anhui Educational Dept.(2007jqL101,2007jqL102)Natural Science Foundation of Anhui Educational Dept.(kj2007b055).
文摘By using Mawhin＇s continuation theorem, the existence of solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained. An example is given to demonstrate the main result of the paper.
