共查询到20条相似文献,搜索用时 15 毫秒
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Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations 总被引:3,自引:0,他引:3
John R. Graef Chuanxi Qian Bo Yang 《Proceedings of the American Mathematical Society》2003,131(2):577-585
In this paper, the authors consider the boundary value problem
and give sufficient conditions for the existence of any number of symmetric positive solutions of (E)-(B). The relationships between the results in this paper and some recent work by Henderson and Thompson (Proc. Amer. Math. Soc. 128 (2000), 2373-2379) are discussed.
and give sufficient conditions for the existence of any number of symmetric positive solutions of (E)-(B). The relationships between the results in this paper and some recent work by Henderson and Thompson (Proc. Amer. Math. Soc. 128 (2000), 2373-2379) are discussed.
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In this paper, by using Avery-Peterson theorem on a convex cone, we consider the m-point boundary value problems for second order impulsive differential equations with the nonlinear term depending on the first order derivative, the multiplicity result of three positive solutions are obtained. 相似文献
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G.L. Karakostas K.G. Mavridis 《Journal of Mathematical Analysis and Applications》2003,282(2):567-577
By using the Krasnoselskii fixed point theorem on cones in Banach spaces some existence results of positive solutions of a boundary value problem concerning a second-order functional differential equation are given. 相似文献
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This paper is devoted to study the existence of multiple positive solutions for the second order Dirichlet boundary value problem with impulse effects. The main results here is the generalization of Liu and Li [L. Liu, F.Y. Li, Multiple positive solution of nonlinear two-point boundary value problems, J. Math. Anal. Appl. 203 (1996) 610-625] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. 相似文献
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Nickolai Kosmatov 《Journal of Mathematical Analysis and Applications》2005,309(1):25-36
We apply the fixed point theorem of Avery and Peterson to the nonlinear second-order multi-point boundary value problem
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This paper is devoted to study the existence of multiple positive solutions for the second order periodic boundary value problem with impulse effects. The main results here are the generalization of Jiang [Daqing Jiang, On the existence of positive solutions to second order periodic BVPs, Acta Math. Sci. 18 (1998) 31–35] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. 相似文献
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Ferhan Merdivenci 《Journal of Difference Equations and Applications》2013,19(3):263-270
We consider a second order vector boundary value problem for difference equations and establish criteria for the existence of at least two positive solutions by an application of a fixed point theorem in cones. 相似文献
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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
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In this paper, the second-order m-point boundary value problem
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Zhao-Cai Hao Ti-Jun Xiao Jin Liang 《Journal of Mathematical Analysis and Applications》2007,325(1):517-528
This paper deals with a class of boundary value problem of singular differential equations on time scales. The conditions we used here differ from those in the majority of papers as we know. An existence theorem of positive solutions is established by using the Krasnosel'skii fixed point theorem and an example is given to illustrate it. 相似文献
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This paper is concerned with boundary value problems for systems of nonlinear second-order differential equations. Under the suitable conditions, the existence and multiplicity of positive solutions are established by using abstract fixed-point theorems. 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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In this paper, the second-order four-point boundary value problem
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Johnny Henderson Basant Karna Christopher C. Tisdell 《Proceedings of the American Mathematical Society》2005,133(5):1365-1369
Shooting methods are employed to obtain solutions of the three-point boundary value problem for the second order equation, where is continuous, and and conditions are imposed implying that solutions of such problems are unique, when they exist.
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Positive solutions for boundary value problem of nonlinear fractional differential equation 总被引:6,自引:0,他引:6
In this paper, we investigate the existence and multiplicity of positive solutions for nonlinear fractional differential equation boundary value problem:
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Multiple solutions for fourth-order boundary value problem 总被引:4,自引:0,他引:4
In this paper, we study the existence and multiplicity of nontrivial solutions for the fourth-order two point boundary value problems. Making use of the theory of fixed point index in cone and Leray-Schauder degree, under general conditions on nonlinearity, we prove that there exist at least six different nontrivial solutions for the fourth-order two point boundary value problems. Furthermore, if the nonlinearity is odd, we obtain that there exist at least eight different nontrivial solutions. 相似文献
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F. Cammaroto A. Chinnì B. Di Bella 《Journal of Mathematical Analysis and Applications》2006,323(1):530-534
In this paper, using a recent result of Ricceri, we prove two multiplicity theorems for the problem −u″=λf(u)+μg(x,u), u(0)=u(1)=0, extending a previous result that G. Bonanno obtained for μ=0. 相似文献
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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