含双记忆和时滞项的非线性粘弹性对数波动方程解的爆破  

On Blow-up of Solutions for a Class Logarithmic Nonlinear Wave Equation with Double Memory and Delay Terms

作　　者：高云龙 林荣瑞 佘连兵[1] GAO Yun-long;LIN Rong-rui;SHE Lian-bing(School of Mathematics and Computer Science,Liupanshui Normal University,Liupanshui Guizhou 553004,China)

机构地区：[1]六盘水师范学院数学与计算机科学学院,贵州六盘水553004

出　　处：《西南师范大学学报（自然科学版）》2020年第12期20-27,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：贵州省教育厅自然科学基金项目(KY[2019]139,KY[2019]143);贵州省科学技术基金项目([2020]1Y007);六盘水师范学院校级项目(LPSSYKJTD201907).

摘　　要：考虑一类含双记忆和时滞项的非线性粘弹性对数波动方程解的爆破性.在一定假设条件下,利用凸性方法证明了当初始能量函数E(0)<0时,方程的能量解在有限时刻爆破.In this paper,blow-up of solutions have been concerned for a class logarithmic nonlinear wave equation with double memory and delay terms.Under certain assumptions,the convexity method has been used to prove that when the initial energy function E(0)<0,the energy solution of the equation blow-up at finite time.

关 键 词：双记忆项 时滞项 非线性对数项 爆破 

分 类 号：O175.29[理学—数学]