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非线性含参系统无穷多正周期解的存在性
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作者 杨伟 《吉林大学学报(理学版)》 CAS 北大核心 2021年第5期1025-1030,共6页
用Krasnoselskii不动点定理,讨论非线性含参系统u′(t)+a(t)u(t)-b(t)v(t)=λf(t,u(t),v(t)),0≤t≤1,v′(t)+b(t)v(t)+a(t)u(t)=λg(t,u(t),v(t)),0≤t≤1,u(0)=u(1),v(0)=v(1)无穷多正周期解的存在性,得到了其无穷多个正周期解,其中... 用Krasnoselskii不动点定理,讨论非线性含参系统u′(t)+a(t)u(t)-b(t)v(t)=λf(t,u(t),v(t)),0≤t≤1,v′(t)+b(t)v(t)+a(t)u(t)=λg(t,u(t),v(t)),0≤t≤1,u(0)=u(1),v(0)=v(1)无穷多正周期解的存在性,得到了其无穷多个正周期解,其中λ是一个正参数,a,b:[0,1]→[0,∞)是连续函数且在[0,1]的任意子区间上不恒为0,f,g:[0,1]×[0,∞)×[0,∞)→[0,∞)是连续函数. 展开更多
关键词 多解 非线性 含参系统 周期解 锥上不动点定理
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含参广义系统的真有效解映射的下半连续性
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作者 孟旭东 龚循华 《江西科学》 2015年第5期623-627,共5页
在实Hausdorff拓扑向量空间中,引进了含参广义系统的Henig有效解和超有效解的概念,得到了含参广义系统的Henig有效解与超有效解的标量化结果,并在标量化结果的基础上,研究了含参广义系统的Henig有效解集映射与超有效解集映射的下半连续性。
关键词 HENIG有效解 超有效解 下半连续性 广义系统
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含参广义向量均衡问题系统解的通有稳定性
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作者 陈小龙 林志 吴慧凌 《宝鸡文理学院学报(自然科学版)》 CAS 2023年第2期19-22,共4页
目的对含参广义向量均衡问题系统解的通有稳定性进行研究。方法在支付函数受参数扰动的情况下,通过定义2个系统之间的距离,结合集值映射的上半C-连续性、C-凸性以及Fort定理进行研究。结果与结论证明了(W,ρ)是一个完备度量空间,含参广... 目的对含参广义向量均衡问题系统解的通有稳定性进行研究。方法在支付函数受参数扰动的情况下,通过定义2个系统之间的距离,结合集值映射的上半C-连续性、C-凸性以及Fort定理进行研究。结果与结论证明了(W,ρ)是一个完备度量空间,含参广义向量均衡问题系统解映射是上半连续且具紧值的,以及含参广义向量均衡问题系统解的通有稳定性。 展开更多
关键词 广义向量均衡问题系统 Fort定理 上半连续性 C-凸 通有稳定性
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Effect of copper on the growth of shrimps Litopenaeus vannamei : water parameters and copper budget in a recirculating system 被引量:7
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作者 程波 刘鹰 +2 位作者 杨红生 宋怿 李贤 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2014年第5期1092-1104,共13页
Shrimps( Litopenaeus vannamei) were intensively cultured in a recirculating aquaculture system for 98 days to investigate effects of 0.3 mg/L Cu on its performance, Cu budget, and Cu distribution. Shrimps in Cu-treate... Shrimps( Litopenaeus vannamei) were intensively cultured in a recirculating aquaculture system for 98 days to investigate effects of 0.3 mg/L Cu on its performance, Cu budget, and Cu distribution. Shrimps in Cu-treated systems had greater mean final weight(11.10 vs 10.50 g), body length(107.23 vs 106.42 mm), survival rate(67.80% vs 66.40%), and yield(6.42 vs 5.99 kg/m 3), and lower feed conversion ratio(1.20 vs 1.29) than those in control systems but the differences were not significant. Vibrio numbers remained stable(10 4 –10 6 colony forming units/mL) in the rearing tanks of both control and treated systems. Total ammonium-N, nitrite-N, nitrate-N, pH, chemical oxygen demand, 5-day carbonaceous biochemical oxygen demand, and total suspended solids were similar in controls and treatments. Dissolved Cu concentration in the treated systems decreased from 0.284 to 0.089 mg/L while in the control systems it increased from 0.006 2 to 0.018 mg/L. The main sources of Cu in the treated systems were the artificially added component(75.7% of total input), shrimp feed(21.0%), water(2.06%), and shrimp biomass(1.22%). The major outputs of Cu occurred via the mechanical filter(41.7%), water renewal(15.6%), and draining of the sediment trap(15.1%). The foam fractionator removed only 0.69% of total Cu input. Harvested shrimp biomass accounted for 11.68% of Cu input. The Cu concentration of shrimps in the Cu-treated systems(30.70 mg/kg wet weight) was significantly higher than that in control systems(22.02 mg/kg). Both were below the maximum permissible concentration(50 mg/kg) for Cu in seafood for human consumption in China. Therefore, recirculating systems can be used for commercial on-growing of Litopenaeus vannamei without loss of shrimp quality, even in water polluted by 0.30 mg/L Cu. The mechanical filter is the main route for Cu removal. 展开更多
关键词 recirculating aquaculture system (RAS) Litopenaeus vannamei copper budget water quality POLLUTION
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An Analytic Solution to Well-water Level Changes under Barometric Pressure
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作者 Liu Chunping Deng Liang +2 位作者 Liao Xin Wan Fei Shi Yun 《Earthquake Research in China》 2011年第2期240-249,共10页
Under barometric pressure, groundwater flow in well-aquifer systems is a kind of hydromechanical coupling problem. Applying the flux boundary conditions on borehole wall and water pressure equilibrium conditions insid... Under barometric pressure, groundwater flow in well-aquifer systems is a kind of hydromechanical coupling problem. Applying the flux boundary conditions on borehole wall and water pressure equilibrium conditions inside and outside the borehole wall under barometric pressure (BP), an analytic solution to well-water level changes has been proposed in this paper. The formulation shows that the BP coefficients increase with time and tend to BP constant. The Change of BP coefficients over time depends only on the ratio of transmissivity (T) to the well radius squared ( r2, ) , and has nothing to do with the change in BP. The BP constant only relates to aquifer loading efficiency (B), and has nothing to do with the aquifer transmissivity and well radius. The BP coefficients' change over time in the analytic formulation is consistent with the analysis of measured data from the Nanxi wells. Based on the BP coefficient changes over time, a parameter estimation method is suggested and discussed in its application to the estimation of the aquifer BP constant (or B) and transmissivity by using the Nanxi well data. 展开更多
关键词 Well-water level Barometric pressure Analytic solution PARAMETERESTIMATION Barometric pressure coefficient
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