Averaging, homotopy, and bounded solutions of ordinary differential equations
Averaging, homotopy, and bounded solutions of ordinary differential equations
Let j, g : RN x R --+ RN be continuous functions, and assume the mappings (x, t) --+ f(x, t), (x, t) --+ g(x, t) are almost periodic in t, uniformly for x in compact sets (UAP); see [2].The average of a uniformly almost periodic functionIn this paper the …