Well-ordered and non-well-ordered lower and upper solutions for periodic planar systems
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Date
2021-01-08
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Abstract
The aim of this paper is to extend the theory of lower and upper
solutions to the periodic problem associated with planar systems of differential
equations. We generalize previously given definitions and we are
able to treat both the well-ordered case and the non-well-ordered case.
The proofs involve topological degree arguments, together with a detailed
analysis of the solutions in the phase plane.