Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach spaces

作者：Chen Pengyu^*; Li Yongxiang

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(11): 3578-3588.

DOI：10.1016/j.na.2011.02.041

• Semilinear impulsive evolution equation
• Coupled L-quasi-upper and lower solutions
• Monotone iterative technique
• Condensing map
• Initial value problem

This paper deals with the existence of mild L-quasi-solutions to the initial value problem for a class of semilinear impulsive evolution equations in an ordered Banach space E. Under a new concept of upper and lower solutions, a new monotone iterative technique on the initial value problem of impulsive evolution equations has been established. The results improve and extend some relevant results in ordinary differential equations and partial differential equations. An example is also given.

• 出版日期2011-7
• 单位西北师范大学