共查询到20条相似文献,搜索用时 15 毫秒
1.
2.
On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations 下载免费PDF全文
Jiraporn Reunsumrit Thanin Sitthiwirattham 《Mathematical Methods in the Applied Sciences》2016,39(10):2737-2751
In this paper, we study a new class of 3‐point boundary value problems of nonlinear fractional difference equations. Our problems contain difference and fractional sum boundary conditions. Existence and uniqueness of solutions are proved by using the Banach fixed‐point theorem, and existence of the positive solutions is proved by using the Krasnoselskii's fixed‐point theorem. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
3.
奇异二阶连续和离散边值问题正解的存在唯一性 总被引:1,自引:0,他引:1
利用一类混合单调算子的一个不动点定理,给出了奇异二阶微分方程边值问题和奇异二阶差分方程边值问题的解的存在及惟一性. 相似文献
4.
The main purpose of this paper is to present the existence results of solutions and positive solutions of nonlinear high-order fractional boundary value problems with integral boundary condition. By using the Banach fixed point theorem and the Krasnosel’skii fixed point theorem, we obtain the existence and uniqueness of real solution. By the Guo–Krasnosel’skii fixed point theorem on the cone, we obtain a desired result for guaranteeing the existence of positive solution. Several interesting examples relevant to the main results are also considered. 相似文献
5.
利用一类混合单调算子的一个不动点定理,给出了奇异非线性四阶微分方程边值问题的解的存在及惟一性. 相似文献
6.
借助于与给定共振的非线性周期边值问题相关的非共振的线性边值问题来构造算子,利用范数形式的锥拉伸-压缩不动点定理,得到了非线性周期边值问题非负解的存在性定理. 相似文献
7.
A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS 总被引:1,自引:0,他引:1
In this article, a novel fixed point theorem in C[0,1] space is established by using the properties of fixed point index. This theorem is then applied to prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results. 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.
本文讨论了拟线性椭圆型方程奇摄动Robin边值问题。在适当的条件下,利用不动点定理,研究了边值问题解的存在唯一性及其渐近性态。 相似文献
10.
Erbil Cetin 《Journal of Mathematical Analysis and Applications》2007,334(2):876-888
In this paper we study the existence of solutions for Lidstone boundary value problems on time scale. Firstly, by using Schauder fixed point theorem in a cone, we obtain the existence of solutions to a Lidstone boundary value problem (LBVP). Secondly, existence result for this problem is also given by the monotone method. Finally, by using Krasnosel'skii fixed point theorem, it is proved that the LBVP has a positive solution. 相似文献
11.
The singularly perturbed boundary value problems for the semilinear elliptic equation of higher order are considered. Under
suitable conditions and by using the fixed point theorem the existence, uniqueness and asymptotic behavior of solution for
the boundary value problems are studied. 相似文献
12.
The singularly perturbed boundary value problems for the semilinear elliptic equation are considered. Under suitable conditions and by using the fixed point theorem, the existence, uniqueness and asymptotic behavior of solution for the boundary value problems are studied. 相似文献
13.
MoJiaqi 《高校应用数学学报(英文版)》2001,16(4):364-368
The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered. Under suitable conditions and by using the fixed point theorem the existence ,uniqueness and asymptotic behavior of solution for the boundary value problems are studied. 相似文献
14.
The singularly perturbed boundary value problems for the semilinear elliptic equation are considered. Under suitable conditions and by using the fixed point theorem, the existence, uniqueness and asymptotic behavior of solution for the boundary value problems are studied. 相似文献
15.
In this article, we study a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. We obtain sufficient conditions for existence and uniqueness of positive solutions. We use the classical fixed point theorems such as Banach fixed point theorem and Krasnoselskii’s fixed point theorem for uniqueness and existence results. As in application, we provide an example to illustrate our main results. 相似文献
16.
本文是讨论一类在局部区域上的奇摄动非线性Robin边值问题。利用算子理论和不动点原理,得到了相应问题解的存在性和唯一性。 相似文献
17.
18.
本文讨论了一类拟线性椭圆型方程奇摄动Dirichlet边值问题.在适当的条件下,利用不动点定理,研究了边值问题解的存在唯一性及其渐近性态. 相似文献
19.
In this article we present a new fixed point theorem for a class of general mixed monotone operators, which extends the existing corresponding results. Moreover, we establish some pleasant properties of nonlinear eigenvalue problems for mixed monotone operators. Based on them the local existence-uniqueness of positive solutions for nonlinear boundary value problems which include Neumann boundary value problems, three-point boundary value problems and elliptic boundary value problems for Lane-Emden-Fowler equations is proved. The theorems for nonlinear boundary value problems obtained here are very general. 相似文献
20.
研究了带有积分边值条件的分数阶微分方程的边值问题.利用LeggettWilliams不动点定理,以及一些分析技巧得到了这类分数阶微分方程边值问题多个正解的存在性. 相似文献