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Keywords:
nonlinear boundary value problems; heteroclinic solutions; lower and upper solutions; singular boundary value problems
nonlinear boundary value problems; heteroclinic solutions; lower and upper solutions; singular boundary value problems
Summary:
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.
References:
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