Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics

Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics

“…Using our results of [7,8], we will prove that for each sufficiently small h > 0 there exists at least one B ∈ (L 0 , 0) such that the corresponding solution of problem (2.1), (2.7) fulfils (2.6). Note that an autonomous case of (2.1) was studied in [9].…”