脉冲分段常数积分微分方程伪概周期解的存在唯一性(英文)

Existence and Uniqueness of Pseudo Almost Periodic Solutions to Some Integro-differential Equations with Impulse and Piecewise Constant Argument

考虑了一类脉冲分段常数积分微分方程伪概周期解的存在唯一性,通过研究与之相关的差分方程伪概周期解序列的存在唯一性,获得了保证该方程伪概周期解存在唯一的充分条件.

The existence and uniqueness problem of pseudo almost periodic solution to some integro-differ- ential equations with impulse and piecewise constant arguments are considered. By extending the existing defini- tions of pseudo almost periodic and constructing a pseudo almost periodic solution sequence of the corresponding difference equation, several novel and sufficient conditions to guarantee the existence and uniqueness of pseudo almost periodic solution are obtained.