The Cauchy-Kowalewski theorem in the space of pseudo Q-holomorphic functions

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/33345

Title:	The Cauchy-Kowalewski theorem in the space of pseudo Q-holomorphic functions
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-1364-5137 0000-0002-3308-9449 Hızlıyel, Sezayi Özkan, Yeşim Sağlam G-5333-2017 AAG-8239-2021 15623158400 57193338830
Keywords:	Mathematics Cauchy-Kowalewski theorem Generalized beltrami systems
Issue Date:	23-Oct-2015
Publisher:	Springer
Citation:	Hızlıyel, S. ve Özkan, Y. S. (2016). "The Cauchy-Kowalewski theorem in the space of pseudo Q-holomorphic functions". Complex Analysis and Operator Theory, 10(5), 953-963.
Abstract:	In this work, we prove the Cauchy-Kowalewski theorem for the initial-value problem where partial derivative w/partial derivative t = Lw w(0, z) = w(0)(z) Where Lw : E-0(t, z) partial derivative/partial derivative(phi) over bar (E-d(w)/dz) + F-0(t, z) <((partial derivative/partial derivative<(phi)over bar>(E-d(w)/dz))over bar> + C-0(t, z) E-d(w)/dz +G(0)(t, z) (E-d(w)/dz) + A(0)(t, z)w + B-0(t, z)(w) over bar + D-0(t, z) in the space P-D (E) of Pseudo Q-holomorphic functions.
URI:	https://doi.org/10.1007/s11785-015-0509-0 https://link.springer.com/article/10.1007/s11785-015-0509-0 http://hdl.handle.net/11452/33345
ISSN:	1661-8254 1661-8262
Appears in Collections:	Web of Science

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