福州大学学报（自然科学版）2017，Vol.45Issue(3)：317-322,6.DOI:10.7631/issn.1000-2243.2017.03.0317
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
摘要
Abstract
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 solu-tions. Then we obtain that the solutions blow up relying on a variant of the eigenfunction method com-bined with new properties on systems of differential inequalities.关键词
伪抛物方程/非线性记忆/爆破Key words
pseudo-parabolic equation/nonlinear memory term/blowup分类
数理科学引用本文复制引用
魏丹,曾有栋,姜迪彪..一类带非线性记忆的伪抛物方程解的爆破[J].福州大学学报（自然科学版）,2017,45(3):317-322,6.基金项目
国家自然科学基金资助项目(71273053) （71273053）
福建省自然科学基金资助项目(2014J01009) （2014J01009）
