基于指数分析的奇异型集中系统的最优参数  

OPTIMAL PARAMETER OF A SINGULAR LUMPED PARAMETER SYSTEM BASED ON EXPONENTIAL ANALYSIS

作　　者：沈婷 王跃 SHEN Ting;WANG Yue(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang,Guizhou 550025,China;School of Mathematics and Statistics,Guizhou University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025 [2]贵州大学数学与统计学院,贵州贵阳550025

出　　处：《井冈山大学学报（自然科学版）》2023年第4期11-17,共7页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(11661021,11861021);贵州民族大学科研项目(GZMUZK[2021]YB19);贵州省研究生科研基金立项项目(黔教合YJSCXJH[2020]083);贵州大学研究生创新基金(贵大研2021-891)。

摘　　要：在一般开区间的去心邻域内考虑一个具有弱奇异指数的集中参数系统。为了获得系统解的存在性和解析性,导函数的关系得到最优参数。所得结论补充并丰富了已有文献的结果。A lumped parameter system with weak singular exponent is considered in the noncentral neighborhood of an interval.Three steps are set to obtain that the existence and analyticity of the solutions for the system.First of all,the appropriate coefficient through the exponential analysis strategy is found.Then,the correctness of the results are analyzed and verified by the way of function construction.Finally,the optimal parameter is obtained by combining the relationship between the extreme point of the function and the derivative function.Our results lead some known results of the literatures to complete and enrich.

关 键 词：弱奇异 分析策略 最优参数 函数构造 

分 类 号：O175.23[理学—数学]