共查询到20条相似文献,搜索用时 156 毫秒
1.
谢胜利 《数学物理学报(A辑)》2010,30(1):258-266
该文使用不动点指数理论,研究二阶奇异非线性微分方程组多点边值问题的正解和多个正解的存在性.给出某些保证解的存在性的极限条件,这些条件适用于较一般的函数. 相似文献
2.
在不同共振条件下研究一类二阶非线性微分方程多点边值问题正解的存在性.利用范数形式的Leggett-Williams不动点定理,给出了问题正解的存在性结果,所得结论不同于已有文献. 相似文献
3.
一类无穷多点边值问题正解的存在性 总被引:1,自引:0,他引:1
陈瑞鹏 《纯粹数学与应用数学》2010,26(3):495-500
研究一类二阶非线性常微分方程无穷多点边值问题正解的存在性,利用不动点指数理论得到了方程至少存在一个正解的若干充分条件. 相似文献
4.
本文运用锥上的不动点理论,得到了一类离散多点边值问题的一个正解及两个正解存在性. 相似文献
5.
本文应用锥上的不动点指数理论,研究四阶两点边值问题—个正解及多个正解的存在性,给出了此类问题有一个正解及多个正解存在的与其相应线性问题的第一个特征值有关的充分条件,该条件中所涉及的值是最优的. 相似文献
6.
李淑红 《高校应用数学学报(A辑)》2007,22(4):441-446
利用不动点指数定理研究了一类二阶非线性常微分方程的三点边值问题正解的存在性问题,得到了至少存在一个或无穷多个正解的几个充分条件. 相似文献
7.
讨论了一类含一阶导数的二阶常微分方程组多点边值问题正解的存在性.利用一个新的不动点定理,得到上述问题具有一个正解的充分条件. 相似文献
8.
9.
王珍燕 《纯粹数学与应用数学》2010,26(5):837-843
研究了一类二阶非线性常微分方程无穷多点边值问题多个正解的存在性,运用不动点指数理论及Holder不等式得到了方程至少存在两个正解的若干充分条件,推广和改进了相关文献的结果. 相似文献
10.
该文研究一类具有变号非线性项的奇异二阶三点边值问题多个正解的存在性. 运用Leggett-Williams不动点定理在$f$满足一定的增长条件下, 获得了至少三个非零正解存在的结果. 相似文献
11.
In this paper, we study the existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter. By using the properties of the Green’s function, u 0-positive function and the fixed point index theory, we obtain some existence results of positive solution under some conditions concerning the first eigenvalue with respect to the relevant linear operator. The method of this paper is a unified method for establishing the existence of multiple positive solutions for a large number of nonlinear differential equations of arbitrary order with any allowed number of non-local boundary conditions. 相似文献
12.
Eun Kyoung Lee 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(12):e366
In this paper, we consider the existence, nonexistence and multiplicity of a positive solution for a Gelfand type generalized Laplacian system with a singular indefinite weight and a vector parameter. By using the upper and lower solution method and fixed point index theory, we obtain a global multiplicity result with respect to the parameter. 相似文献
13.
邱镜亮 《数学的实践与认识》2017,(10):262-269
应用锥不动点定理并结合Banach空间中的半序结构,研究了一类梁方程的可解性问题.不仅得到了梁方程正解的存在性结果,并且讨论了梁方程正解对参数的依赖性.注意到梁方程中含有正参数λ和L~p-可积函数,获得的结果是新的,并从本质上推广了已有文献的结果. 相似文献
14.
15.
《Communications in Nonlinear Science & Numerical Simulation》2010,15(4):1028-1035
In this paper, a mathematical model with impulsive state feedback control is proposed for turbidostat system. The sufficient conditions of existence of positive order one periodic solution are obtained by using the existence criteria of periodic solution of a general planar impulsive autonomous system. It is shown that the system either tends to a stable state or has a periodic solution, which depends on the feedback state, the control parameter of the dilution rate and the initial concentration of microorganism and substrate. By investigating the periodic solution, the period and the initial point of the periodic solution are given. The results show that turbidostat with impulsive state feedback control tends to an order one periodic solution. 相似文献
16.
本文研究了一类带参数的高维泛函微分程(1.1)的周期正解的存在性.利用一个著名的不动点指标定理,获得了该方程周期正解的存在性、多重性和不存在性. 相似文献
17.
《Journal of Computational and Applied Mathematics》2006,193(1):269-276
Here we are concerned with the existence of positive solution for autonomous and nonautonomous second-order systems with multi-points boundary conditions. For nonautonomous systems we use the Schauder's fixed point theorem in a suitable Banach space, while for autonomous ones using fixed point theorems is usually useless because of the existence of trivial solution and for this we employed a method based on the implicit function theorem and topological degree. In order to verify the obtained results, we have considered some definite systems to verify the results numerically. 相似文献
18.
In this paper, we consider the existence of positive solution for four‐point nonlocal boundary value problems of fractional order. By means of some fixed point theorems, some results on the existence and multiplicity of positive solutions are obtained. Furthermore, we provide a representative example to illustrate a possible application of the established results. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
19.
运用不动点指数理论,研究非线性项中含有一阶导数且具有奇性的二阶多点边值问题正解的存在性. 相似文献
20.
In this paper,we study the existence of positive solutions for the nonlinear singular third-order three-point boundary value problemu (t) = λa(t)f(t,u(t)),u(0) = u (1) = u (η) = 0,where λ is a positive parameter and 0 ≤ η 1 2 .By using the classical Krasnosel’skii’s fixed point theorem in cone,we obtain various new results on the existence of positive solution,and the solution is strictly increasing.Finally we give an example. 相似文献