In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-...In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-up result for the semi-linear wave equation when the exponent of p is under certain conditions.Meanwhile,we derive an upper bound of the lifespan of solutions to the Cauchy problem for the semi-linear wave equation.展开更多
Interleukin-1β（IL-1β）is one of the first cytokines ever described.It has long been recognized to play an important role in mediating inflammation and orchestrating the physiological and behavioral adjustments that...Interleukin-1β（IL-1β）is one of the first cytokines ever described.It has long been recognized to play an important role in mediating inflammation and orchestrating the physiological and behavioral adjustments that occur during sickness. Recently,accumulating evidence has indicated that IL-1β also adversely affects cognitive function.Nevertheless,there are also some reports showing no effects or even beneficial effects of IL-1β on learning and memory.The relationship between IL-1β and cognitive impairment has not been clearly elucidated.Here we reviewed the evidence of both negative and positive effects of IL-1β on learning and memory,and the key factors that may affect the effects of IL-1β on learning and memory were discussed.展开更多
基金Supported by the Natural Science Foundation of China(Grant No.11371175)Innovation Team Project in Colleges and Universities of Guangdong Province(Grant No.2020WCXTD008)+1 种基金Science Foundation of Huashang College Guangdong University of Finance&Economics(Grant No.2020HSDS01)Science Research Team Project in Guangzhou Huashang College(Grant No.2021HSKT01).
文摘In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-up result for the semi-linear wave equation when the exponent of p is under certain conditions.Meanwhile,we derive an upper bound of the lifespan of solutions to the Cauchy problem for the semi-linear wave equation.
基金supported by the grants from National Natural Science Foundation of China(No.30700213)National Basic Research Development Program of China(No.2007CB947804)
文摘Interleukin-1β（IL-1β）is one of the first cytokines ever described.It has long been recognized to play an important role in mediating inflammation and orchestrating the physiological and behavioral adjustments that occur during sickness. Recently,accumulating evidence has indicated that IL-1β also adversely affects cognitive function.Nevertheless,there are also some reports showing no effects or even beneficial effects of IL-1β on learning and memory.The relationship between IL-1β and cognitive impairment has not been clearly elucidated.Here we reviewed the evidence of both negative and positive effects of IL-1β on learning and memory,and the key factors that may affect the effects of IL-1β on learning and memory were discussed.
