Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations

Jack S. Keeler, Mark G. Blyth, John R. King

Solutions $u(x)$ to the class of inhomogeneous nonlinear ordinary differential equations taking the form \[u'' + u^2 = αf(x) \] for parameter $\alpha$ are studied. The problem is define…