一类带非线性记忆的伪抛物方程解的爆破
Blowup property of solutions to pseudo-parabolic equation with nonlinear memory term

研究一类带非线性记忆的伪抛物方程解的爆破性质. 先用严格压缩映射及不动点定理证明解的局部存在唯一性，并通过特征函数法结合微分不等式组新性质的一个变体法证明其解在一定条件下爆破.
We investigate the blowup property of solutions to the pseudo-parabolic equation. By using constructing mapping and the fixed point theory，we obtain the existence and uniqueness of local solutions. Then we obtain that the solutions blow up relying on a variant of the eigenfunction method combined with new properties on systems of differential inequalities