共查询到20条相似文献,搜索用时 125 毫秒
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本文给出Strum-Liouville边界条件下的一类四阶奇异超线性微分方程其C2[0,1]正解存在的充分必要条件和C3[0,1]正解存在的充分条件和必要条件.结果可用于判断给定的边值问题其正解的存在性与不存在性. 相似文献
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双锥不动点定理及其在非线性边值问题中的应用 总被引:3,自引:0,他引:3
本文研究了具可变号非线性项的非线性边值问题的正解存在性,推广了Krasnoselskii不动点定理,得到了新的锥上不动点定理,并应用这些定理给出这类边值问题正解的存在性. 相似文献
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本文运用非紧性测度,给出了一类具p-Laplacian算子分数阶微分方程边值问题正解的存在性与唯一性.最后,用一个例子阐述我们的主要结果. 相似文献
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利用Avery-Henderson不动点定理,讨论了时间测度链上一类非线性边值问题正解的存在性,并在一定条件下得到两个正解的存在性结果,继而利用Legget-Williams不动点定理将其两个正解推广到三个解的情况,同时利用一种等价转化,给出二阶非线性边值问题格林函数的求法,使其求法一般化. 相似文献
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In this paper, we introduce and study an iterative method to approximate a common solution of split variational inclusion problem and fixed point problem for a nonexpansive mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution of split variational inclusion problem and fixed point problem for a nonexpansive mapping which is the unique solution of the variational inequality problem. The results presented in this paper are the supplement, extension and generalization of the previously known results in this area. 相似文献
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In this paper, we introduce an iterative method to approximate a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the sequences generated by the iterative scheme converge strongly to a common solution of the split equilibrium problem, the variational inequality problem and the fixed point problem for a nonexpansive mapping. The results presented in this paper extend and generalize many previously known results in this research area. 相似文献
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J. Baumeister 《Mathematical Methods in the Applied Sciences》1979,1(1):40-61
In this paper we consider a free boundary problem of general type for the heat equation in one space dimension. We formulate this problem as an optimal control problem and derive necessary conditions for a solution of it. In order to compute a solution of the control problem, we apply the projection-gradient-method. Simple numerical examples illustrate the results. 相似文献
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Charyyar Ashyralyyev 《Mathematical Methods in the Applied Sciences》2020,43(8):5369-5379
In this paper, we study the approximation of reverse parabolic problem with integral boundary condition. The Rothe difference scheme for an approximate solution of reverse problem is discussed. We establish stability and coercive stability estimates for the solution of the Rothe difference scheme. In sequel, we investigate the first order of accuracy difference scheme for approximation of boundary value problem for multidimensional reverse parabolic equation and obtain stability estimates for its solution. Finally, we give numerical results together with an explanation on the realization in one- and two-dimensional test examples. 相似文献
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Zhibin Zhang Chee-Chong Teo Xiaoyu Wang 《The Journal of the Operational Research Society》2015,66(4):637-646
We consider speed optimization for a vessel that has to arrive at every port along its voyage within a time window at each port. The objective of the problem is to minimize the vessel’s bunker fuel cost given that fuel consumption rate is a convex function of speed. The intent of this paper is to establish the optimality properties for this problem and show that a solution with such properties (which we refer to as a good solution) is unique and optimal. The optimality properties established in this paper facilitate the proof of exactness for existing and future algorithms, as one needs only to show that the solution provided by an algorithm satisfies the definition of a good solution. As an illustration, we show how we can apply our results to prove the exactness of an existing algorithm in literature. Our work contributes to the understanding of the problem’s optimality structure, which will provide intuition for development of algorithms for this problem. 相似文献
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In this paper, we discuss basic properties, a least‐squares problem for row extended matrices and the associated approximation problem. First, we obtain their basic properties by applying their particular structure. Then we derive a general representation of the solutions to the least‐squares problem, and we obtain an expression for the solution to the associated approximation problem. Finally, we provide a perturbation analysis and a perturbation bound for the best approximate solution. The results are illustrated by numerical examples. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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Saeed Ketabchi Hossein Moosaei 《Journal of Optimization Theory and Applications》2012,154(3):1080-1087
In this paper, we give an algorithm to compute the minimum norm solution to the absolute value equation (AVE) in a special case. We show that this solution can be obtained from theorems of the alternative and a useful characterization of solution sets of convex quadratic programs. By using an exterior penalty method, this problem can be reduced to an unconstrained minimization problem with once differentiable convex objective function. Also, we propose a quasi-Newton method for solving unconstrained optimization problem. Computational results show that convergence to high accuracy often occurs in just a few iterations. 相似文献
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In this paper we study mathematically an industrial problemrelated to sterilization processes involving heat transfer bynatural convection. We give results of existence and regularityfor the solution of this problem. We recast the whole problemas an optimal control problem with pointwise constraints onthe state and the control in order to ensure the reduction ofmicroorganism concentration and the retention of nutrients,and to save energy. Finally, we give results on existence ofthe optimal solution and optimality conditions for its characterization. 相似文献
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In this paper, we introduce a vector-valued Tikhonov-type regularization algorithm for an extended-valued multiobjective optimization problem. Under some mild conditions, we prove that any sequence generated by this algorithm converges to a weak Pareto optimal solution of the multiobjective optimization problem. Our results improve and generalize some known results. 相似文献