μ-Pseudo-Almost Automorphic Solutions for some Differential Equations with Reflection of the Argument

Measure pseudo almost periodic solution for a class of nonlinear delayed stochastic evolution equations driven by Brownian motion

“…The concept of almost periodicity was first introduced in the literature by Bohr in 1923, for more details about this topic we refer the reader to the recent book of N'Guérékata [16] where the author gave an important overview about the theory of almost periodic functions and their applications to differential equations. The notion of µ−pseudo almost periodicity, which was introduced and developed by Ezzinbi et al [3,8,10,[13][14][15], is a generalization of the almost periodicity and pseudo almost periodicity introduced by Zhang [18,19]; it is also a generalization of weighted pseudo almost periodicity firstly introduced by Diagana [9].…”

Existence results for integro-differential equations with reflection

“…Li [17], Miraoui [19,20], Miraoui et al [21], Miraoui and Yaakobi [22], and Zhang [30]), as well as various applications (cf. e.g.…”

Dynamics and oscillations for some difference and differential equations with piecewise constant arguments

“…The study of existence of almost periodic and pseudoalmost periodic with measure (mpap) solutions is one of the most attracting topics in the qualitative theory of differential equations due to its mathematical interest and to the applications in physics, mathematical biology, and control theory, among other areas (see previous studies [1][2][3], and the references therein). The notion of pseudo almost periodicity with measure is a generalization of almost periodicity (see previous studies [2,[4][5][6][7][8]).…”