共查询到20条相似文献,搜索用时 31 毫秒
1.
Chuanzhi Bai Dapeng Xie Yang Liu Chunli Wang 《Nonlinear Analysis: Theory, Methods & Applications》2009
In this paper, we investigate the existence of positive solutions for a class of nonlinear second-order four-point boundary value problems with alternating coefficient. Our approach relies on the Krasnosel’skii fixed point theorem. The result of this paper is new and extent the previously known result. 相似文献
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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
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Multi-point boundary value problems for a second-order ordinary differential equation are considered in this note. An existence result is obtained with the help of coincidence degree theory. 相似文献
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In this paper, we establish two different existence results of positive periodic solutions for second order non-autonomous singular dynamical systems. The first one is based on a nonlinear alternative principle of Leray-Schauder and the result is applicable to the case of a strong singularity as well as the case of a weak singularity. The second one is based on Schauder's fixed point theorem and the result sheds some new light on problems with weak singularities and proves that in some situations weak singularities may help create periodic solutions. Recent results in the literature are generalized and significantly improved. 相似文献
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This paper is concerned with the property of the positive solutions for Sturm–Liouville singular boundary value problems with the linear conditions. We obtain a relation between the solutions and Green’s function. It implies a necessary condition for the C1[0,1] positive solutions. We apply the result to conclude that the given equation has no C1[0,1] positive solutions. 相似文献
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Topological structure is investigated for second-order vector asymptotic boundary value problems. Because of indicated obstructions, the Rδ-structure is firstly studied for problems on compact intervals and then, by means of the inverse limit method, on non-compact intervals. The information about the structure is furthermore employed, by virtue of a fixed-point index technique in Fréchet spaces developed by ourselves earlier, for obtaining an existence result for nonlinear asymptotic problems. Some illustrating examples are supplied. 相似文献
8.
Manabu Naito 《Monatshefte für Mathematik》2002,136(3):237-242
This paper is concerned with the problem of counting the number of zeros of bounded nonoscillatory solutions of higher-order
linear ordinary differential equations involving a parameter. It is shown that a recent result for the second-order case is
still valid for the higher-order case.
Received September 20, 2001; in revised form February 8, 2002 Published online July 12, 2002 相似文献
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By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type. 相似文献
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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
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Using a fixed point theorem of generalized cone expansion and compression we present in this paper criteria which guarantee the existence of at least two positive solutions for semi-positone three-point boundary value problems with parameter λ>0 belonging to a certain interval. 相似文献
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S. A. Brykalov 《Georgian Mathematical Journal》1994,1(3):243-249
The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence result for a problem with functional boundary conditions obtained by the author in [6]. 相似文献
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John V. Baxley Kristen E. Kobylus 《Journal of Computational and Applied Mathematics》2010,234(9):2699-2708
For a given positive integer N, we provide conditions on the nonlinear function f which guarantee that the boundary value problem
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In this paper, we study the existence of countably many positive solutions for a singular multipoint boundary value problem. By using fixed-point index theory and the Leggett-Williams’ fixed-point theorem, sufficient conditions for the existence of countably many positive solutions are established. 相似文献
18.
Alberto Boscaggin Alessandro Fonda Maurizio Garrione 《Nonlinear Analysis: Theory, Methods & Applications》2012
By the use of the Poincaré–Birkhoff fixed point theorem, we prove a multiplicity result for periodic solutions of a second order differential equation, where the nonlinearity exhibits a singularity of repulsive type at the origin and has linear growth at infinity. Our main theorem is related to previous results by Rebelo (1996, 1997) and and Rebelo and Zanolin (1996) and , in connection with a problem raised by del Pino et al. (1992) [1]. 相似文献
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