共查询到20条相似文献,搜索用时 15 毫秒
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Johnny Henderson 《Journal of Difference Equations and Applications》2013,19(9):1575-1592
We present some results for positive solutions of a system of nonlinear second-order difference equations, subject to multi-point boundary conditions. 相似文献
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Johnny Henderson 《Journal of Difference Equations and Applications》2019,25(4):516-541
We study the existence of positive solutions for a system of nonlinear second-order difference equations with parameters and sign-changing nonlinearities, subject to multi-point coupled boundary conditions. In the proof of our main theorems we use the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel'skii fixed point theorem. 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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Johnny Henderson 《Journal of Difference Equations and Applications》2013,19(3):418-438
We investigate the existence and multiplicity of positive solutions for a system of nonlinear second-order difference equations with multi-point boundary conditions. 相似文献
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Christopher C. Tisdell 《Journal of Mathematical Analysis and Applications》2006,323(2):1325-1332
This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary conditions. The methods involve novel differential inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution. 相似文献
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Haiyan Wang 《Journal of Mathematical Analysis and Applications》2006,318(1):246-252
We establish two criteria for the existence of convex solutions for a boundary value problem arising from the study of the existence of convex radial solutions for the Monge-Ampère equations. We shall use fixed point theorems in a cone. 相似文献
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Jeffrey J DaCunha Parmjeet K Singh 《Journal of Mathematical Analysis and Applications》2004,295(2):378-391
We prove the existence of a positive solution for the three point boundary value problem on time scale given by
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Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line 总被引:2,自引:0,他引:2
In this paper, we establish sufficient conditions to guarantee the existence of at least one positive solution, a unique positive solution, and multiple positive solutions for the Sturm-Liouville boundary value problem on the half-line. By using an effective operator, the fixed point theorems in cone, especially Krasnoselskii fixed point theorem, can be applied to such systems and then existence criteria are established. The interesting point of the results is that the nonlinear term f can be sign-changing. 相似文献
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In this research, we study linear difference equations with constant coefficients subject to boundary conditions. Necessary and/or sufficient conditions for the existence of a unique solution will be established. The proofs of the existence and uniqueness theorems are established by means of special types of determinants called Mosaic Vandermonde determinants. 相似文献
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By using Schauder’s fixed point theorem and the lower and upper solutions method, we discuss the anti-periodic boundary value problem for a class of second-order differential equations. Some sufficient conditions for the existence of solutions are obtained. 相似文献
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Zuzana Došlá Mauro Marini Serena Matucci 《Journal of Difference Equations and Applications》2016,22(9):1244-1260
Some nonlocal boundary value problems, associated to a class of functional difference equations on unbounded domains, are considered by means of a new approach. Their solvability is obtained by using properties of the recessive solution to suitable half-linear difference equations, a half-linearization technique and a fixed point theorem in Frechét spaces. The result is applied to derive the existence of nonoscillatory solutions with initial and final data. Examples and open problems complete the paper. 相似文献
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Guoqing Chai 《Journal of Mathematical Analysis and Applications》2007,330(1):541-549
In the case of not requiring f(t,u) to be nonnegative, by transforming the boundary value problem into the integral equation system, and applying the fixed point index theory, the author studies the following second-order boundary value problem with one parameter