本征函数法的推广及其应用  

The Extension of Eigenfunction and Application

作　　者：陆立柱[1] 

机构地区：[1]太原师范学院物理系,山西太原030001

出　　处：《华北工学院学报》2003年第2期90-93,共4页Journal of North China Institute of Technology

摘　　要：　将本征函数法进行了推广,并结合传统方法的优点和经典的振动问题提出推广的本征函数法.放宽了对边界条件的要求,改善了传统方法的繁冗过程,得到求解非齐次振动问题的普遍方法.推广的本征函数法可应用于热传导问题.The generalization of eigenfunction, by combining the features of traditional methods with results of classical vibration problem is presented. The traditional methods have been improved, while conditions in using can be wider in range, it provides a general solution of nonhomogeneous vibration problem. It is applicable to heat condution problem.

关 键 词：本征函数法 一般解 试探解 非齐次边界条件 振动 

分 类 号：O175.8[理学—数学]