共查询到20条相似文献,搜索用时 15 毫秒
1.
Jiangang Cheng 《Journal of Mathematical Analysis and Applications》2003,280(2):197-208
This paper is concerned with the boundary value problems y″+λ(yp−yq)=0 and y(−1)=y(1)=0, where p>q>−1 and λ>0 is a positive parameter. We discuss the existence of positive solutions and give a complete study. 相似文献
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Sufficient conditions for the uniqueness of positive solutions of boundary value problems for quasilinear differential equations of the type are established. These problems arise, for example, in the study of the m-Laplace equation in annular regions. 相似文献
(|u′|m−2u′)′ + f(t,u,u′)=0, m 2
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Local existence of multiple positive solutions to a singular cantilever beam equation 总被引:2,自引:0,他引:2
Qingliu Yao 《Journal of Mathematical Analysis and Applications》2010,363(1):138-861
By constructing suitable cone and control functions, we prove some local existence theorems of positive solutions for a singular fourth-order two-point boundary value problem. In mechanics, the problem is called cantilever beam equation. Furthermore, we improve a famous method appeared in the studies of singular boundary value problems. The approximation theorem of completely continuous operators and the Guo-Krasnosel'skii fixed point theorem of cone expansion-compression type play important parts in this work. 相似文献
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We establish new results on the existence of positive solutions for some multi-point boundary value problems at resonance. Our results are based on a recent Leggett–Williams norm-type theorem due to O’Regan and Zima. We also derive a new result for a three-point problem, previously studied by several authors. 相似文献
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一类Dirichlet边值问题的正解存在性 总被引:2,自引:0,他引:2
本文对Dirichlet边值问题y″-f(t,y)=0,y(0)=c>0,y(1)= 0,给出正解的存在性结论,其中函数f(t,y)可以是变号函数,并且可能在y=0处具有奇异性. 相似文献
6.
Qingliu Yao 《Applied Mathematics Letters》2012,25(2):93-98
Allowing the nonlinear term to be singular with respect to both the time and space variables, we consider the positive solutions of a nonlinear Neumann boundary value problem. By constructing two height functions and estimating the integrations of these height functions, the existence and multiplicity of positive solutions are established. 相似文献
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In this paper, we present some general results of existence and uniqueness of solutions of nonlinear two-point boundary value problems for third-order nonlinear differential equations by using the Shooting method. As applications we give certain concrete sufficient conditions for the existence and uniqueness. 相似文献
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We study the existence of positive solutions for the following boundary value problem on infinite interval for second-order functional differential equations:
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Yuhong Ma 《Journal of Mathematical Analysis and Applications》2006,314(1):97-108
We show that there exists at least one positive solution for Lidstone boundary value problem
13.
Yongxiang Li 《Journal of Mathematical Analysis and Applications》2003,282(1):232-240
In this paper the existence results of positive solutions are obtained for second-order boundary value problem
−u″=f(t,u),t∈(0,1),u(0)=u(1)=0, 相似文献
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In this paper, we study the existence of positive solutions of a two-point boundary value problem for a system of fourth-order nonlinear singular semipositone differential equations by the fixed point index theorem. Some new existence results are established, and an example is given to demonstrate the application of our main results. 相似文献
16.
Uniqueness and parameter dependence of positive solutions to higher order boundary value problems with fractional $q$-derivatives
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John R. Graef Lingju Kong Qingkai Kong Min Wang 《Journal of Applied Analysis & Computation》2013,3(1):21-35
The authors study a class of nonlinear higher order boundary value problem with fractional $q$-erivativesand dependence on a positive parameter $\lm$.The existence, uniqueness, and dependence of positive solutions on $\lm$ are discussed.Two sequences are constructed so that they converge uniformly to the unique solution of the problems.Two examples are included in the paper. Numerical computations of the examples confirm their theoretical results. 相似文献
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Positive solutions of superlinear semipositone singular Dirichlet boundary value problems 总被引:1,自引:0,他引:1
Xinguang Zhang 《Journal of Mathematical Analysis and Applications》2006,316(2):525-537
In this paper, we study a class of superlinear semipositone singular second order Dirichlet boundary value problem. A sufficient condition for the existence of positive solution is obtained under the more simple assumptions. 相似文献
19.
Wing-Sum Cheung Jingli Ren Patricia J.Y. Wong Dandan Zhao 《Journal of Mathematical Analysis and Applications》2007,330(2):900-915
In this paper, we investigate a second-order nonlinear difference equation with sign-changing nonlinearity subject to two different sets of nonlocal boundary conditions. The explicit expressions of the associated Green's functions are presented. By using a recently developed fixed point theorem, we establish sufficient conditions for the existence of multiple positive solutions of the boundary value problem. 相似文献
20.
一类两点边值问题的正解个数 总被引:1,自引:0,他引:1
程建纲 《数学年刊A辑(中文版)》2004,(3)
本文讨论边值问题y'+λ(yp+μp+yp)=0,y(-1)=y(1)=0,其中λ>0是正参数,μ≥0.对(1-p)(1-q)>0的情形得出了正解的存在唯一性.对(1-p)(1-q)<0的情形,其主要结论是:若p>1>q>-(25+23p)/(23+25p),μ≥0,则存在λ*>0,使得当0<λ<λ*时,此边值问题恰好存在两个正解,当λ=λ*时,存在唯一正解,当λ>λ*时,不存在正解. 相似文献