Asymptotically almost periodic and almost periodic solutions for partial neutral differential equations

Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional–differential equations and applications

“…Existence results concerning almost periodic and asymptotically almost periodic solutions to ordinary neutral differential equations and abstract partial neutral differential equations have recently been established in [15,21,27]. However, the existence of pseudo almost periodic to functional-differential equations with delay, especially, abstract partial neutral differential equations, is an untreated topic and this is the main motivation of the present paper.…”

Asymptotically almost periodic, almost periodic and pseudo-almost periodic mild solutions for neutral differential equations

“…The existence of almost periodic, asymptotically almost periodic, and pseudo-almost periodic solutions are the most attractive topics in qualitative theories of differential equations because of their significance and applications in physics, mechanics and mathematical biology. In recent years, the existence of almost periodic, asymptotically almost periodic and pseudo-almost periodic solutions on different kinds of differential equations have been considered in many publications such as [11][12][13][14][15][16][17][18][19][20][21] and the reference there in. Especially, authors in [11] considered the following neutral functional differential equation in a Banach space X :…”

Almost periodic and almost automorphic solutions to some classes of stochastic neutral evolution equations

“…The existence of almost periodic and almost automorphic solutions to deterministic neutral differential equations has been considerably investigated in lots of publications [1,4,13]. However, The existence of square-mean almost periodic and square-mean almost automorphic solutions to stochastic neutral differential equations has not been considered.…”

“…In recent years, the existence of almost periodic on different kinds of deterministic differential equations has been considerably investigated in lots of publications [1][2][3][4][5][6][7][8] because of its significance and applications in physics, mechanics and mathematical biology.…”