On the nonautonomous higher-order Cauchy problems

Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions

“…The research about the existence and uniqueness of solutions of higher-order abstract Cauchy problems have been widely considered in the literature. [1][2][3][4][5] Third and higher-order differential equations arise in physics and engineering for describing multi-resonant vibration processes, accelerating and decelerating processes, hyperjerk systems or intermittent motions among others; see for instance previous studies [6][7][8][9][10] and the references therein.…”