中文摘要：

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。

英文摘要：

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.