ANSCENDENCE RESULT FOR THE EQUATION $Dy = aDx$

V.A. Aslanyan

doi:10.46991/PSYU:A/2016.50.2.003

ANSCENDENCE RESULT FOR THE EQUATION $Dy = aDx$

Authors

V.A. Aslanyan Mathematical Institute, University of Oxford, UK

DOI:

https://doi.org/10.46991/PSYU:A/2016.50.2.003

Keywords:

abstract differential equation, Ax-Schanuel theorem, Lindemann– Weierstrass theorem

Abstract

An analogue of the Lindemann–Weierstrass theorem in differential setting for the differential equation $Dy = aDx$ is proved, where a is a non-constant parameter.

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Published

2016-06-06

Issue

Vol. 50 No. 2 (240) (2016)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

ANSCENDENCE RESULT FOR THE EQUATION $Dy = aDx$. (2016). Proceedings of the YSU A: Physical and Mathematical Sciences, 50(2 (240), 3-8. https://doi.org/10.46991/PSYU:A/2016.50.2.003