具非线性主部的耦合弦振动方程的爆破解  

Blow-up Solution for Coupled String Equations with Nonlinear Principal Parts

作　　者：武洁琼[1] 冯飞[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2016年第2期181-185,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(61104129)

摘　　要：研究具负初始能量的主部非线性的耦合弦振动方程的解的爆破问题。两个方程通过外力在弦的内部耦合,弦的右端施加非线性阻尼。通过分析非线性主部、非线性边界阻尼和耦合外力的相互作用,得到了系统的解爆破的一个充分条件。The blow-up problem for coupled string equations with nonlinear principal parts and negative initial energy is studied.The two equations are coupled by the force exerted in the interior of the string.The nonlinear damp is imposed on the right point of the string.The interaction among nonlinear boundary damp,nonlinear interior source and nonlinear principal parts is analyzed.A sufficient condition under which the solutions of the system blow up is obtained.

关 键 词：非线性主部 耦合非线性弦方程 爆破 

分 类 号：O174[理学—数学]