Numerical solutions of Nagumo’s equation. (English) Zbl 0949.34026
Summary: Nagumo’s equation is the third-order nonlinear ordinary differential equation
\[
{d^3u\over dx^3}- c{d^2u\over dx^2}+ f'(u){du\over dx}- (b/c)u= 0
\]
with \(f(u)= u(1- u)(u- a)\), \(0< a< 1\). The author develops a technique to determine those values of the parameters \(a\), \(b\) and \(c\) which permit nonconstant bounded solutions.
MSC:
34C11 | Growth and boundedness of solutions to ordinary differential equations |
34A45 | Theoretical approximation of solutions to ordinary differential equations |