Abstract :
In this paper the equation ˙y t.sb t.wy t.yy tyt t..x is considered where
tgC Iy1,Rq., Iy1swty1,`., Rqs 0, `., tyt t.is an increasing function on
Iy1, t t.Ft˜, tgIy1, 0-t˜sconst and b gC Iy1,Rq.. Results about asymptotic
structure and behavior of the solutions of this equation are proved. A
connection with the equation ˙x t.syc t.x tyt t.. and the asymptotic representation
of its solutions is obtained