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Topological Methods in Nonlinear Analysis

Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems
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Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems

Authors

  • Giuliano Klun https://orcid.org/0000-0001-7591-2846
  • Andrea Sfecci https://orcid.org/0000-0002-8580-3026

DOI:

https://doi.org/10.12775/TMNA.2024.026

Keywords

Lower and upper solutions, periodic systems, degree theory, coincidence degree

Abstract

In this paper we consider a class of periodic problems associated with $2N$-dimensional systems of differential equations. Our aim is to generalize the theory of lower and upper solutions following the way paved in previous works. After a careful analysis of the dynamics in the phase space, the proofs take advantage of topological degree arguments.

References

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Published

2025-03-08

How to Cite

1.
KLUN, Giuliano and SFECCI, Andrea. Well-ordered and non-well-ordered lower and upper solutions for periodic 2N-dimensional systems. Topological Methods in Nonlinear Analysis. Online. 8 March 2025. Vol. 65, no. 1, pp. 177 - 202. [Accessed 28 June 2025]. DOI 10.12775/TMNA.2024.026.
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Issue

Vol 65, No 1 (March 2025)

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Copyright (c) 2025 Giuliano Klun, Andrea Sfecci

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This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

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