Bounded solutions in a given set of differential systems

Bounded solutions of Carathéodory differential inclusions: a bound sets approach

“…For systems of equations, recent existence results of bounded solutions were obtained by Mawhin [41] with a similar method as in this paper, when combining a bound sets technique with a convergence result due to Krasnosel'skiȋ [34]; see also [9,25,42].…”

On bounded solutions in a given set of systems of differential equations

“…[A1,AGG] and the references therein), only few results can be used for proving the existence of two or more bounded solutions (see e.g. [A2,AK,K]).…”