A new class of \((\omega,c)\)-periodic non-instantaneous impulsive differential equations (Q2199764)

First, in the case of homogeneous linear equations with linear non-instantaneous impulses, the authors study some properties of the non-instantaneous impulsive Cauchy matrix. Then, for both the nonhomogeneous linear equations and the nonlinear equations with a linear part and linear non-instantaneous impulses, a special type of the \((\omega,c)\)-periodic solutions is studied. Some existence and uniqueness results are obtained via fixed point theorems.