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On Landesman-Lazer conditions and the fundamental theorem of algebra

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Abstract

We give an elementary proof of a Landesman-Lazer type result for systems by means of a shooting argument and explore its connection with the fundamental theorem of algebra.

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Acknowledgements

The author wants to acknowledge the anonymous reviewers for the careful reading of the manuscript and their fruitful suggestions and comments. This research was supported by the projects PIP 11220130100006CO CONICET and UBACyT 20020160100002BA.

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  1. Departamento de Matemática. Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & IMAS-CONICET, Ciudad Universitaria, Pabellón I, (1428), Buenos Aires, Argentina

    Pablo Amster

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  1. Pablo Amster
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Correspondence to Pablo Amster.

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Communicated by Ansgar Jüngel.

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Amster, P. On Landesman-Lazer conditions and the fundamental theorem of algebra. Monatsh Math 195, 381–389 (2021). https://doi.org/10.1007/s00605-021-01553-5

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  • DOI: https://doi.org/10.1007/s00605-021-01553-5

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