Asymptotic behaviour of solutions for some differential equations in a Banach space. (English) Zbl 1246.34058

Dads, E. Ait; Ezzinbi, K.; Fatajou, S.

Afr. Diaspora J. Math. 12, No. 1, 1-18 (2011).

Summary: We present some results on Eberlein-weakly almost periodic functions with values in a Banach space. Then, we apply these results to investigate the Eberlein-weakly almost periodic solutions of some differential equations in a Banach space.

MSC:

34G20	Nonlinear differential equations in abstract spaces
34D05	Asymptotic properties of solutions to ordinary differential equations

Keywords:

Eberlein-weakly almost periodic solutions; reflexive space; weakly relatively compact