共查询到20条相似文献,搜索用时 15 毫秒
1.
This paper investigates the existence and uniqueness of positive solutions for a class of nonlinear fractional delay differential
equations. Using a nonlinear alternative of Leray-Schauder type, we show the existence of positive solutions for the equations
in question. 相似文献
2.
Meilin Lin 《Journal of Mathematical Analysis and Applications》2008,337(1):537-546
Following our previous work [M. Lin, Multiple positive solutions for a class of weighted nonlinear elliptic equations, preprint, 2006], we give an exact growth order near zero for positive solutions of a class of weighted elliptic equations and use it to give the existence of multiple positive solutions and sign changing solutions of the considered problem. 相似文献
3.
Qin Maochang 《Annals of Differential Equations》2006,22(4):546-550
Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existence of positive periodic solutions are presented. 相似文献
4.
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
5.
Xiaojing Yang 《Applied mathematics and computation》2002,130(2-3):225-234
Some sufficient conditions for the existence of positive solutions to Dirichlet boundary value problems of a class of nonlinear second order differential equations are given. 相似文献
6.
Hui-Sheng Ding Yuan-Yuan Chen Gaston M. N’Guérékata 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7356-7364
In this work, a new fixed point theorem in partially ordered Banach spaces is established, and then used to prove the existence of positive pseudo almost periodic solutions to a class of neutral integral equations. Our existence theorem extends some recent results due to [E. Ait Dads, P. Cieutat, L. Lhachimi, Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations, Mathematical and Computer Modelling 49 (2009) 721–739] to a more general class of integral equations. 相似文献
7.
非线性奇异边值问题的正解 总被引:1,自引:0,他引:1
路慧芹 《应用泛函分析学报》2002,4(3):217-221
利用锥映射的不动点指数定量,研究了一类非线性奇异边值问题多个正解的存在性问题。在构造的解的存在条件之下,证明了奇异边值问题至少有两个正解的存在性定理。 相似文献
8.
Symmetric positive solutions for second order boundary value problems with integral
boundary conditions on time scales 下载免费PDF全文
This paper investigates the existence of symmetric positive
solutions for a class of nonlinear boundary value problem of second
order dynamic equations with integral boundary conditions on time
scales. Under suitable conditions, the existence of symmetric
positive solution is established by using monotone iterative
technique 相似文献
9.
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11.
In this paper, we study the existence and asymptotic behavior of radial solutions for a class of nonlinear Schrödinger elliptic equations on infinite domains describing the gyre of geophysical fluid flows. The existence theorem and asymptotic properties of radial positive solutions are established by using a new renormalization technique. 相似文献
12.
Using the fibering method we prove the existence of at least two positive solutions for a class of non-monotone quasilinear elliptic equations with nonlinear Neuman boundary conditions 相似文献
13.
《Applied Mathematics Letters》2001,14(7):825-830
Classification schemes for positive solutions of a class of higher-order nonlinear functional differential equations are given in terms of their asymptotic behavior, and necessary as well as sufficient conditions for the existence of these solutions are also provided. 相似文献
14.
研究了一类非线性四阶微分方程奇异Sturm-Liouville边值问题,利用锥上的不动点定理得到了这类方程的C~3[0,1]正解和C~2[0,1]正解存在的充分必要条件. 相似文献
15.
本文通过研究一类非线性算子方程解的存在性,建立了一类出现在辐传理论与气体动力学中的非线性ChandrasekharH-方程正解或负解的存在性定理.本文的几个定理包含或改进了RichardW.Leggett和C.A.Stuart等人的一些已知结果. 相似文献
16.
利用Banach空间中的锥理论和不动点定理讨论了非线性算子方程变号解的存在性,给出了E_u_0空间下非线性算子方程变号解至少有一个变号解、一个正解和一个负解的条件,并讨论了仅通过一个上解条件得出非线性算子方程变号解的存在性定理. 相似文献
17.
以Schauder-Tychonoff不动点定理为工具,建立了一类平面上奇异非线性多重调和方程正的径向对称整体解的存在性定理,并给出了解的有关性质。 相似文献
18.
具有可变时滞的偶数阶非线性中立型差分方程的正解 总被引:16,自引:0,他引:16
本文考虑具有可变时滞的偶数阶非线性中立型差分方程,利用Banach空间的压缩映象原理,得到了这类方程存在最终正解的判别准则. 相似文献
19.
P. O. Kasyanov 《Mathematical Notes》2012,92(1-2):205-218
We consider nonlinear autonomous operator differential equations with pseudomonotone dependence between the defining parameters of the problemand study the dynamics of all weak solutions on the positive time semiaxis. We prove the existence of a trajectory and a global attractor and study their structure. As a possible application, we consider the class of high-order nonlinear parabolic equations. 相似文献
20.
叶常青 《数学物理学报(A辑)》2001,(1)
以 Schauder-Tychonoff不动点定理为工具,建立了一类R2上奇异非线性双调和方程正的径向对称整体解的存在定理,并给出了解的有关性质. 相似文献