We consider general second order boundary value problems on the whole line of the type $u^{\prime \prime }=h(t,u,u^{\prime })$, $u(-\infty )=0, u(+\infty )=1$, for which we provide existence, non-existence, multiplicity results. The solutions we find can be reviewed as heteroclinic orbits in the $(u,u^{\prime })$ plane dynamical system.
@article{107832,
author = {Luisa Malaguti and Cristina Marcelli},
title = {Heteroclinic orbits in plane dynamical systems},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {183-200},
zbl = {1090.34037},
mrnumber = {1921590},
language = {en},
url = {http://dml.mathdoc.fr/item/107832}
}
Malaguti, Luisa; Marcelli, Cristina. Heteroclinic orbits in plane dynamical systems. Archivum Mathematicum, Tome 038 (2002) pp. 183-200. http://gdmltest.u-ga.fr/item/107832/
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