共查询到20条相似文献,搜索用时 15 毫秒
1.
Limei Song 《Annals of Differential Equations》2012,(3):320-326
In this paper,we establish sufficient conditions for the existence of positive solutions to a general class of integral boundary value problem(BVP) of nonlinear fractional functional differential equation.A differential operator is taken in the RiemannLiouville sense.Our analysis relies on the Krasnosel'skii fixed-point theorem in cones.We also give examples to illustrate the applicability of our results. 相似文献
2.
《Annals of Differential Equations》2012,(4):396-403
In this paper,we establish the existence of three positive solutions to a nonlinear fractional differential equation by the Leggett-Williams fixed point theorem. 相似文献
3.
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. 相似文献
4.
§1 IntroductionAt present,boundary value problems (BVPs) are widely investigated with variousmethods and techniques. BVPs with integral boundary conditions constitute a veryinteresting class of problems such as multipoint,three-point,four-point and nonlocalboundary value problems which are considered by many authors.And the existence ofpositive solutions for these problems becomes the subjectof many papers[1—6] .In a recentpaper[7] ,the authors have studied the existence of positive solut… 相似文献
5.
研究了下面分数阶微分方程边值问题正解的存在性和唯一性D0+αu(t)=f(t,u(t)),00+α是标准的Riemann-Liouville微分,f:[0,1]×[0,∞)→[0,∞)连续。首先应用压缩映像原理得到解的唯一性,其次应用不动点指数得到正解的存在性,证明中借助了特征值理论。 相似文献
6.
Chunfang Shen 《应用数学年刊》2018,34(1):71-79
In this paper, we investigate the nonexistence of positive solutions for a class of four-point boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results. 相似文献
7.
《Annals of Differential Equations》2012,(2):137-145
In this paper, we study a nonlinear semipositone Neumann boundary value problem. Under some suitable conditions, we prove the existence and multiplicity of positive solutions to the problem, based on Krasnosel’skii’s fixed point theorem in cones. 相似文献
8.
THE EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF SECOND ORDER DIFFERENTIAL EQUATIONS
Juan Dai Zongfu Zhou School of Mathematical Science Anhui University Hefei 《Annals of Differential Equations》2010,(1):10-15
In this paper, a fixed point theorem in C1[0,1] space is established using the properties of the fixed point index. This theorem is applied to prove the existence of positive solution to the boundary value problems of second order differential equations. 相似文献
9.
Li Xu Chengbo Zhai 《Annals of Differential Equations》2014,(3):352-358
In this paper, using fixed point theorems of general β-concave operators in ordered Banach space, we obtain the existence and uniqueness of positive solutions to a class of fractional boundary problem. In the end, an example is given to illustrate our main result. 相似文献
10.
The initial value problem of a nonlinear fractional differential equation is discussed in this paper. Using the nonlinear alternative of Leray-Schauder type and the contraction mapping principle,we obtain the existence and uniqueness of solutions to the fractional differential equation,which extend some results of the previous papers. 相似文献
11.
Using a fixed point theorem,this paper discusses the existence and uniqueness of positive solutions to a system of nonlinear delay fractional differential equations and obtains some new results. 相似文献
12.
Bo Sun Aijun Yang 《Annals of Differential Equations》2011,(2):201-206
We apply a fixed point theorem to verify the existence of at least three positive solutions to a multi-point boundary value problem with p-Laplacian. Existence criteria which ensure the existence of triple positive solutions are established. 相似文献
13.
Shujun Jiang 《Annals of Differential Equations》2013,(1):25-33
In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system. 相似文献
14.
We study the existence of positive solutions to boundary value problems for one- dimensional p-Laplacian under some conditions about the first eigenvalues correspon- ding to the relevant operators by the fixed point theory. The main difficulties are the computation of fixed point index and the subadditivity for positively 1-homogeneous operator. 相似文献
15.
In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results. 相似文献
16.
17.
《Annals of Differential Equations》2010,(3):359-367
By means of nonlinear alternative of Leray-Schauder type and Schauder fixed point theorem, the existence of positive solutions to singular semi-positone nonlinear third-order differential equations are established. The results are illustrated with an example. 相似文献
18.
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. 相似文献
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20.
SongChangxiu WengPeixuan 《高校应用数学学报(英文版)》2005,20(1):51-58
In this paper, the boundary value problems of p-Laplacian functional differential equation are studied. By using a fixed point theorem in cones,some criteria for the existence of positive solutions are given. 相似文献