In this article,the viscoelastic damped was equation in three-dimensional cylindrical domain were studied by using a second-order differential inequality.We proved a Phragm´en-Lindelof alternative results,i.e.,th...In this article,the viscoelastic damped was equation in three-dimensional cylindrical domain were studied by using a second-order differential inequality.We proved a Phragm´en-Lindelof alternative results,i.e.,the smooth solutions either grow or decay exponentially as the distance from the entry section tends to infinity.Our results can be seen as a version of the Saint-Venant principle.展开更多
基金Supported by the Guangdong Natural Science foundation(2023A1515012044)Special Project of Guangdong Province in Key Fields of Ordinary Colleges and Universities(2023ZDZX4069)+1 种基金the Research Team of Guangzhou Huashang College(2021HSKT01)Guangzhou Huashang College’s Characteristic Research Projects(2024HSTS09)。
文摘In this article,the viscoelastic damped was equation in three-dimensional cylindrical domain were studied by using a second-order differential inequality.We proved a Phragm´en-Lindelof alternative results,i.e.,the smooth solutions either grow or decay exponentially as the distance from the entry section tends to infinity.Our results can be seen as a version of the Saint-Venant principle.
基金国家自然科学基金(the National Natural Science Foundation of China under Grant No.10471045 No.60433020)+8 种基金广东省自然科学基金(the Natural Science Foundation of Guangdong Province of China under Grant No.970472 No.000463 No.04020079)广东科技公关计划(the Key Technologies R&D Program of Guangdong Province China under Grant No.2005B10101010)霍英东基金( No.91005)教育部人文社科基金(No.2005-241)广州市天河区科技攻关项目(No.051G041)华南理工大学自然科学基金(No.B13-E5050190)
