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一类三阶拟线性微分方程(Ⅰ)型非极端解的必要条件 被引量:1
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作者 周波 李春玲 +1 位作者 宋丽艳 邹晓范 《佳木斯大学学报(自然科学版)》 CAS 2013年第5期788-789,共2页
研究了一类三阶拟线性微分方程的(Ⅰ)型非极端解,得到其两个必要条件.所得结果拓展了前人的结果.
关键词 拟线性微分方程 (Ⅰ)型非极端解 最终正
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一类三阶拟线性微分方程非极端解存在性
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作者 周波 刘琳 张菊红 《佳木斯大学学报(自然科学版)》 CAS 2015年第5期730-732,共3页
大多数的拟线性微分方程不能写出其解的表达式,所以对解的性质的研究就显得尤为重要.研究了一类三阶拟线性微分方程非极端解的存在性.其中利用函数的单调性、积分计算以及积分换元等微积分知识研究了非极端解存在的必要性,利用Schauder-... 大多数的拟线性微分方程不能写出其解的表达式,所以对解的性质的研究就显得尤为重要.研究了一类三阶拟线性微分方程非极端解的存在性.其中利用函数的单调性、积分计算以及积分换元等微积分知识研究了非极端解存在的必要性,利用Schauder-Tychonoff不动点定理研究了非极端解存在的充分性,得到了非极端解存在的充分必要条件.所得结果拓展了前人的结果. 展开更多
关键词 拟线性微分方程 极端解 最终正
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一类三阶拟线性微分方程非极端解的存在性
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作者 汪金燕 《兰州理工大学学报》 CAS 北大核心 2013年第6期143-145,共3页
利用Schauder-Tychonoff不动点定理讨论一类三阶拟线性微分方程的振动性理论,分析此方程在满足特殊条件时,其非振动解的结构以及特殊非振动解存在的充分必要条件.在此基础上,研究此方程非极端解的存在性.
关键词 极端解 振动性理论 Schauder-Tychonoff不动点定理
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一类非线性微分方程非极端最终正解的存在性 被引量:3
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作者 吴奋韬 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2013年第1期1-5,共5页
研究了一类非线性微分方程的非极端最终正解的存在性.通过建立一个积分不等式及其应用,给出了该非线性微分方程的非极端最终正解存在的必要条件.应用Schauder-Tychonoff不动点定理,得到了该非线性微分方程有一个特殊正解存在的充分条件... 研究了一类非线性微分方程的非极端最终正解的存在性.通过建立一个积分不等式及其应用,给出了该非线性微分方程的非极端最终正解存在的必要条件.应用Schauder-Tychonoff不动点定理,得到了该非线性微分方程有一个特殊正解存在的充分条件,即得到了非极端最终正解存在的充要条件. 展开更多
关键词 非线性微分方程 最终正 极端最终正
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一类三维微分系统正值解的结构(英文)
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作者 杨云芳 《大学数学》 2012年第4期39-45,共7页
研究三维微分系统:u′1=a1(t)|u2|λ1sgn u2,u′2=a2(t)|u3|λ2sgn u3,u′3=-a3(t)|u1|λ3sgn u1.假设λi(i=1,2,3)是正的常数,ai(t)(i=1,2,3)在区间[0,∞)上是正的连续函数,根据u的分量ui的特殊渐近条件定义了正值解的几种类型。系统... 研究三维微分系统:u′1=a1(t)|u2|λ1sgn u2,u′2=a2(t)|u3|λ2sgn u3,u′3=-a3(t)|u1|λ3sgn u1.假设λi(i=1,2,3)是正的常数,ai(t)(i=1,2,3)在区间[0,∞)上是正的连续函数,根据u的分量ui的特殊渐近条件定义了正值解的几种类型。系统满足条件∫0∞ai(t)dt=∞,i=1,2. 展开更多
关键词 正值 极端解 三维微分系统
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Corrosion pathways in aluminium alloys 被引量:3
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作者 U.DONATUS G.E.THOMPSON +3 位作者 J.A.OMOTOYINBO K.K.ALANEME S.ARIBO O.G.AGBABIAKA 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2017年第1期55-62,共8页
The corrosion pathways in AA2024-T3, AA5083-O and AA6082-T6 alloys have been investigated. The objective of the investigation is to further the understanding of the complex localised corrosion mechanism in aluminium a... The corrosion pathways in AA2024-T3, AA5083-O and AA6082-T6 alloys have been investigated. The objective of the investigation is to further the understanding of the complex localised corrosion mechanism in aluminium alloys. The investigation was carried out by examining the corroded surfaces of the alloys after potentiodynamic polarization tests in a 3.5% NaCl solution with the aid of a scanning electron microscope, and by analysing the flow of anolyte solution using the scanning vibrating electrode technique. The results revealed that the overall corrosion pathways in the alloys are distinctively different and are influenced by the flow of anolyte solution. Also revealed, was the fact that corrosion propagates in two ways (particularly in the AA5083-O and AA6082-T6 alloys): an overall pathway in the corrosion front (filiform-like pathway in the AA5083 alloy and organized linear pathways in AA6082 alloy); and the crystallographic channelling along the (100) directions. These are dependent on the grain distinct features of the AA5083-O and AA6082-T6 alloys and are not influenced by the presence of coarse second phase particles in these alloys, compared with the AA2024-T3 alloy, where the corrosion pathways are more dependent on the presence of second phase particles and grain boundary character. 展开更多
关键词 orrosion front pathway crystallographic channelling anolyte flow aluminium alloy
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A Study of Soil-dynamics Based on a Simulated Drought in an Alpine Meadow on the Tibetan Plateau 被引量:4
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作者 WANG Zhi-yuan SUN Geng +2 位作者 LUO Peng MOU Cheng-xiang WANG Jun 《Journal of Mountain Science》 SCIE CSCD 2013年第5期833-844,共12页
Extreme weather events have played an important role in driving the ecosystem dynamics in high altitude areas, but the underlying mechanism remains unclear. To understand if and how the soil processes of an ecosystem ... Extreme weather events have played an important role in driving the ecosystem dynamics in high altitude areas, but the underlying mechanism remains unclear. To understand if and how the soil processes of an ecosystem react to extreme drought, we manipulated a once-in-a-century meteorological extreme drought in an alpine meadow on the Tibetan Plateau, which is also known as the "forerunner of global weather changes". The extremity was determined by statistical extreme weather events with respect to a historical reference period from April to September during 1962 - 2004, where the local historical precipitation data was calculated and intensified to loo-year recurrent drought event with Gumbel I distribution. The indicators we measured included soil microbial biomass C/N/P and soil enzymatic activities of phosphatase (AP) disbounding organic phosphate, cellobiohydrolase (CBH), β- glucocidase (BG), N-releasing enzyme N-acetyl- glucosaminidase (NAG) as well as soil respirations, during and after the treatments. It was found that the manipulated event induced a rapid shift in microbial biomass and activities, indicating a lower resistance of the underground process. However, the microbial and biochemical parameters saw rapid recovery after the event, which meant the soil processes enjoyed high resilience. The high responsiveness and lag-time effects of the soil indicators rendered new horizons for us to evaluate the interaction between the extremes and the ecosystem stability. Our study indicated that the once-in-a-century extreme drought induced very short term response in the soil biotic process, and the soil processes worked to buffer against such events under the observation period. 展开更多
关键词 Extreme weather event Soil enzyme Microbial biomass Nutrient availability
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