This article concerns the existence and non-existence of heteroclinic solutions on the whole real line to a strongly nonlinear non-autonomous boundary-value problem governed by a general increasing homeomorphism and a non-autonomous differential operator. We provide asymptotic sufficient conditions for the solvability which result to be optimal for a wide class of problems.
Existence of solutions to boundary-value problems governed by general non-autonomous nonlinear differential operators
MARCELLI, Cristina
2012-01-01
Abstract
This article concerns the existence and non-existence of heteroclinic solutions on the whole real line to a strongly nonlinear non-autonomous boundary-value problem governed by a general increasing homeomorphism and a non-autonomous differential operator. We provide asymptotic sufficient conditions for the solvability which result to be optimal for a wide class of problems.File in questo prodotto:
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