In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we...In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.展开更多
In this paper, the evolutionary behavior of N-solitons for a (2 + 1)-dimensional Konopelchenko-Dubrovsky equations is studied by using the Hirota bilinear method and the long wave limit method. Based on the N-soliton ...In this paper, the evolutionary behavior of N-solitons for a (2 + 1)-dimensional Konopelchenko-Dubrovsky equations is studied by using the Hirota bilinear method and the long wave limit method. Based on the N-soliton solution, we first study the evolution from N-soliton to T-order (T=1,2) breather wave solutions via the paired-complexification of parameters, and then we get the N-order rational solutions, M-order (M=1,2) lump solutions, and the hybrid behavior between a variety of different types of solitons combined with the parameter limit technique and the paired-complexification of parameters. Meanwhile, we also provide a large number of three-dimensional figures in order to better show the degeneration of the N-soliton and the interaction behavior between different N-solitons.展开更多
在供需不确定环境下,企业难以精准地预测供应链上游的供给能力和下游市场的实际需求。在解决如何决策供应商组合和订单分配这一基本问题外,企业还需评估潜在风险并在风险和成本之间寻求平衡点。因此,文中对供需不确定下的供应商选择与...在供需不确定环境下,企业难以精准地预测供应链上游的供给能力和下游市场的实际需求。在解决如何决策供应商组合和订单分配这一基本问题外,企业还需评估潜在风险并在风险和成本之间寻求平衡点。因此,文中对供需不确定下的供应商选择与订单分配问题进行研究,利用均值-条件风险价值(Mean-Conditional Value at Risk,M-CVaR)构建了风险规避的决策模型。数值分析表明:选择合适的供应商数量可以有效降低来自供需两端不确定性的影响;成本随风险规避水平的增加而增加。当风险规避水平较低时,置信水平的变化对决策的影响较小,且增加成本可以显著降低风险。展开更多
基金supported by the National Natural Science Foundation of China (10771128)Natural Science Foundation of Shanxi (2008011002-1)+2 种基金Shanxi University Science and Technology Development Project (20101109 20111117)Doctorial Start-up Foundation of Datong University(2010-B-01)
文摘In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.
文摘In this paper, the evolutionary behavior of N-solitons for a (2 + 1)-dimensional Konopelchenko-Dubrovsky equations is studied by using the Hirota bilinear method and the long wave limit method. Based on the N-soliton solution, we first study the evolution from N-soliton to T-order (T=1,2) breather wave solutions via the paired-complexification of parameters, and then we get the N-order rational solutions, M-order (M=1,2) lump solutions, and the hybrid behavior between a variety of different types of solitons combined with the parameter limit technique and the paired-complexification of parameters. Meanwhile, we also provide a large number of three-dimensional figures in order to better show the degeneration of the N-soliton and the interaction behavior between different N-solitons.
文摘在供需不确定环境下,企业难以精准地预测供应链上游的供给能力和下游市场的实际需求。在解决如何决策供应商组合和订单分配这一基本问题外,企业还需评估潜在风险并在风险和成本之间寻求平衡点。因此,文中对供需不确定下的供应商选择与订单分配问题进行研究,利用均值-条件风险价值(Mean-Conditional Value at Risk,M-CVaR)构建了风险规避的决策模型。数值分析表明:选择合适的供应商数量可以有效降低来自供需两端不确定性的影响;成本随风险规避水平的增加而增加。当风险规避水平较低时,置信水平的变化对决策的影响较小,且增加成本可以显著降低风险。
