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On monotonic solutions of the Schröder equation in Banach spaces

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Summary.

We prove the existence and uniqueness of solutions of the Schröder equation (1) in the class of monotonic functions on cones in Banach spaces.

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Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet ŚlaŇski, ul. Bankowa 14, PL-40-007, Katowice, Poland

    Janusz Walorski

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  1. Janusz Walorski
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Correspondence to Janusz Walorski.

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Manuscript received: May 17, 2004 and, in final form, August 18, 2005.

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Walorski, J. On monotonic solutions of the Schröder equation in Banach spaces. Aequ. math. 72, 1–9 (2006). https://doi.org/10.1007/s00010-005-2815-5

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  • DOI: https://doi.org/10.1007/s00010-005-2815-5

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