共查询到20条相似文献,搜索用时 15 毫秒
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Bryan P. Rynne 《Journal of Differential Equations》2003,188(2):461-472
We consider the boundary value problem
(∗) 相似文献
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Multiple positive solutions for superlinear second order singular boundary value problems with derivative dependence 总被引:1,自引:1,他引:0
闫宝强 《数学物理学报(B辑英文版)》2008,28(4):851-864
The existence of at least two positive solutions is presented for the singular second-order boundary value problem
{1/p(t)( p(t)x′(t))′+Φ(t)f(t,x(t),p(t)x′(t))=0,0〈t〈1,
limt→0 p(t)x′(t)=0,x(1)=0
by using the fixed point index, where f may be singular at x = 0 and px ′= 0. 相似文献
{1/p(t)( p(t)x′(t))′+Φ(t)f(t,x(t),p(t)x′(t))=0,0〈t〈1,
limt→0 p(t)x′(t)=0,x(1)=0
by using the fixed point index, where f may be singular at x = 0 and px ′= 0. 相似文献
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The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones. 相似文献
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Hong-yu Li 《应用数学学报(英文版)》2017,33(4):1043-1052
In this paper, we investigate the existence of nontrivial solutions for some superlinear second order three-point boundary value problems by applying new fixed point theorems in ordered Banach spaces with the lattice structure derived by Sun and Liu. 相似文献
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This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x,y) is superlinear in x at +∞. 相似文献
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《Journal of Computational and Applied Mathematics》1998,88(1):129-147
New existence results are presented for the second-order equation y″ + f(t,y) = 0, 0<t<1 with Dirichlet or mixed boundary data. In our theory the nonlinearity f is allowed to change sign. Singularities at y = 0, t = 0 and t = 1 are discussed. 相似文献
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We study the existence of multiple positive solutions for a superlinear elliptic PDE with a sign-changing weight. Our approach is variational and relies on classical critical point theory on smooth manifolds. A special care is paid to the localization of minimax critical points. 相似文献
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In this paper we establish the multiplicity of positive solutions to second-order superlinear repulsive singular Neumann boundary
value problems. It is proved that such a problem has at least two positive solutions under reasonable conditions. Our nonlinearity
may be repulsive singular in its dependent variable and superlinear at infinity. The proof relies on a nonlinear alternative
of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones.
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
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Zhilong Li 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(6):3216-3221
In this paper, we consider the Neumann boundary value problem
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Mohammed Guedda 《Journal of Mathematical Analysis and Applications》2009,352(1):259-270
A multiplicity result for the singular ordinary differential equation y″+λx−2yσ=0, posed in the interval (0,1), with the boundary conditions y(0)=0 and y(1)=γ, where σ>1, λ>0 and γ?0 are real parameters, is presented. Using a logarithmic transformation and an integral equation method, we show that there exists Σ?∈(0,σ/2] such that a solution to the above problem is possible if and only if λγσ−1?Σ?. For 0<λγσ−1<Σ?, there are multiple positive solutions, while if γ=(λ−1Σ?)1/(σ−1) the problem has a unique positive solution which is monotonic increasing. The asymptotic behavior of y(x) as x→0+ is also given, which allows us to establish the absence of positive solution to the singular Dirichlet elliptic problem −Δu=d−2(x)uσ in Ω, where Ω⊂RN, N?2, is a smooth bounded domain and d(x)=dist(x,∂Ω). 相似文献
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In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some $p > 1$, we discuss the existence and multiplicity of positive solutions to the four point boundary value problems of nonlinear fractional differential equations. Our results extend some recent works in the literature. 相似文献
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Fu-Hsiang Wong 《Proceedings of the American Mathematical Society》1998,126(2):365-374
Sufficient conditions for the uniqueness of positive solutions of singular Sturm-Liouville boundary value problems
where and , are established.
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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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Vicenţiu Rădulescu 《Archiv der Mathematik》2005,84(6):538-550
We consider the nonlinear Sturm-Liouville problem –u = f(u) + h in (0, 1), u(0) = u(1) = 0, where h L2(0,1) and f is a positive convex nonlinearity with superlinear growth at infinity. Our main result establishes that the above boundary value problem admits a finite number of solutions but it cannot have infinitely many solutions.Received: 8 July 2004 相似文献