EXISTENCE OF MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS

1 IntroductionWe deal with the problem{ it:;,."--'"'::3of (11)where 9 C RN, N 2 3 is a bounded domain with smooth boundary 0fl, 0n = ro U r1, ro andYl have (N -- 1)-dinlensiollal Hausdorff nleasuret r E L'(r1), yt 2 0, V * 0 on r1, 7 denotesthe u11it outward normal and p = 2* = ee is the critical SoboleY exponent fOr the Sobolevembedding V(O) - H(O), V(fl) = {u E H'(fl) l u = 0 on ro}'The case ro and r1 have positive (N -- 1)-dimellsional Hausdoor measure aud p = 0on r1 in (1.1), has…     

柱前衍生-超高效液相色谱-串联质谱法同时检测茶叶中草甘膦和草铵膦的残留量

采用超高效液相色谱-串联质谱建立了茶叶中草甘膦和草铵膦残留同时快速测定的方法。茶样经超纯水、二氯甲烷提取和C₁₈固相萃取柱净化后,在硼酸盐缓冲液中与9-芴甲氧羰酰氯(FMOC-Cl)进行衍生反应,衍生后产物在C₁₈色谱柱上进行超高效液相色谱分离;质谱检测采用电喷雾正离子化模式和多反应监测模式。结果表明,在0.003125~0.1 mg/L范围内,草甘膦和草铵膦均有良好的线性关系(r> 0.990),检出限(LOD)均为0.03 mg/kg;在添加浓度为0.375、1.5和4.5 mg/kg时,草甘膦的平均回收率为87.37%~99.11%,相对标准偏差(RSD)(n=6)为0.68%~1.35%;草铵膦的平均回收率为81.44%~86.17%,RSD(n=6)为1.01%~2.33%。该方法样品前处理简单,分析时间短,回收率和精密度等均符合农药多残留检测技术的要求,适用于茶叶中草甘膦和草铵膦残留的同时检测。     

CONSENSUS OF THE SECOND-ORDER MULTI-AGENT SYSTEMS WITH AN ACTIVE LEADER AND COUPLING TIME DELAY

This article investigates the consensus problem of the second-order multi-agent systems with an active leader and coupling time delay in direct graph. One decentralized state control rule is constructed for each agent to track the active leader and it is proved that the proposed control scheme enables the consensus to be obtained when the adjacency topology is fixed/switched. Simulation results show effectiveness of the proposed theoretical analysis.     

求函数解析式的几种方式

求函数解析式的几种方式肖海军（湖北省电子工业学校４３００７４）已知函数ｙ＝ｆ（ｘ）的解析式，讨论ｙ＝ｆ（ｘ）的性质，课本上有系统的论述．然而课本中对根据已知条件来求函数解析式的方法则没有介绍．这里介绍几种求ｙ＝ｆ（ｘ）解析式的一般方法．一、待定系数法...     

基于拮抗作用检测除草剂的类囊体膜生物传感器研究

利用除草剂对植物类囊体束缚酶分解过氧化氢的拮抗作用,研制了一种快速检测痕量除草剂的电化学生物传感器.将植物类囊体用聚乙烯醇-苯乙烯吡啶(PVA-SbQ)光敏聚合剂在紫外光诱导下产生大分子网状结构进行包埋,制成生物敏感膜,并固定在铂电极表面.根据加入除草剂时类囊体膜束缚酶分解过氧化氢活性的变化,对除草剂进行测定.在含有1×10^-3mol/LNaCl,5×10^-3mol/LMgCl₂和0.01mol/LH₂O₂的Tris-HCl缓冲溶液(pH=7.4)中,基于测量0.65V处H₂O₂氧化电流的变化,可以对下列浓度的除草剂进行定量检测:百草枯3×10^-9～1.5×10^-7mol/L,敌草龙1×10^-8～3×10^-7mol/L,扑草净4×10^-8～3×10^-6mol/L,阿特拉津1×10^-7～5×10^-6mol/L,莠灭净1×10^-7～5×10^-6mol/L.利用PVA-SbQ光聚合膜固定类囊体,能够使酶的活性在低温下保持数月.