We give rather elementary topological proofs of some generalizations of fixed-point theorems in \( {{\mathbb{R}}_n} \) due to Pireddu and Zanolin and Zgliczyński, which are useful in various problems related to ordinary differential equations.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 2, pp. 266–272, February, 2013.
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Mawhin, J. Variations on some finite-dimensional fixed-point theorems. Ukr Math J 65, 294–301 (2013). https://doi.org/10.1007/s11253-013-0778-6
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DOI: https://doi.org/10.1007/s11253-013-0778-6