一类非线性拟抛物型积分微分方程初边值问题解的爆破

Blow - up of Solutions to a Class of Nonlinear Integrodifferential Equations of Pseudo - parobolic Type

研究一类非线性拟抛物型积分微分方程的初边值问题,使用微分、积分不等式技巧,得到了关于问题的解在有限时间内爆破的一些结果。

The initial -boundary value problem is studied for a class of nonlinear integrodifferential equations of pseudo - parabolic type. By using the technology of differential - integral inequality, some results are obtained for blowing up of solutions to the problem in finite time.