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Non-autonomous boundary value problems on the real line
We study the existence of solutions for the problem
$(\Phi(x'(t)))'=f(t,x(t),x'(t))$, $x(-\infty)=0, x(+\infty)=1$,
where $\Phi$: IR $\to$ IR is a monotone function which generalizes
the one-dimensional p-Laplacian operator. When the right-hand side
of the equation has the product structure
$f(t,x,x')=a(t,x)b(x,x')$, we deduce operative criteria for the
existence and non-existence of solutions.