On the Abstract Cauchy Problem in spaces of almost periodic distributions

On some classes of almost periodic functions in abstract spaces

We deal with C(n)-almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under consideration. Some applications to ordinary as well as partial differential equations are presente...

Inhomogeneous Two-Parameter Abstract Cauchy Problem

Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces

the impact of using inspirational quotes on abstract vocabulary recall

the present study is an attempt to investigate the potential impact of inspirational quotes on improving english abstract vocabulary recall. to achieve this goal, a multiple choice language proficiency test of 60 items including vocabulary and grammar component was administered to a sample of 63 second-semester male and female students whose age ranged between 17 to 22 and they were studying en...

On the Bohr Transform of Almost-periodic Solutions for Some Differential Equations in Abstract Spaces

We consider abstract differential equations of the form u′(t) = Au(t)+f(t) or u′′(t)=Au(t)+f(t) in Banach spaces X, where f(·), R→X is almost-periodic, while A is a linear operator, (A)⊂X →X. If the solution u(·) is likewise almost-periodic, R→X, we establish connections between their Bohr-transforms, û(λ) and f̂ (λ). 2000 Mathematics Subject Classification. 34C27, 34G10.