摘要
本文讨论来自研究一根具有弹性的皮筋的小振幅振动的一类Kirchhoff型方程退化时弱解的性质,内容包括弱解的存在唯一性.主要采用Bananch压缩映射原理通过势井方法和能量方法来获得弱解的局部存在性.
It is concerned with the properties of solutions of the wave equations of degenerate Kirchhoff type with nonlinear which arises from small amplitude vibrations of an elastic string.It contains the problems of local existence of weak solutions.Here the Bananch contraction mapping theorem is used to show the local existence of the solutions.
出处
《渤海大学学报（自然科学版）》
CAS
2013年第2期115-120,共6页
Journal of Bohai University:Natural Science Edition
关键词
KIRCHHOFF方程
退化
弱解
存在
equation of kirchhoff type
degenerate
weak solution
existence
