## Abstract

In this work, we prove the Cauchy–Kowalewski theorem for the initial-value problem

where

in the space \(P_{D}\left( E\right) \) of Pseudo *Q*-holomorphic functions.

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Communicated by Wolfgang Sproessig.

This work was supported by the Commission of Scientific Research Projects of Uludağ University, Project Number KUAP(F)-2013/84.

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Hızlıyel, S., Sağlam Özkan, Y. The Cauchy–Kowalewski Theorem in the Space of Pseudo Q-holomorphic Functions.
*Complex Anal. Oper. Theory* **10**, 953–963 (2016). https://doi.org/10.1007/s11785-015-0509-0

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DOI: https://doi.org/10.1007/s11785-015-0509-0