Journal of Applied Mathematics and Decision Sciences
Volume 3 (1999), Issue 2, Pages 189-193
doi:10.1155/S1173912699000115
Abstract
Nagumo's equation is a third order non-linear ordinary differential equation
d3udx3−cd2udx2+f′(u)dudx−(b/c)u=0
where f(u)=u(1−u)(u−α)
, 0<α<1
. In this paper we
have developed a technique to determine those values of the parameters a,b
and c
which permit
non-constant bounded solutions.