Electron. J. Diff. Equ., Vol. 2016 (2016), No. 226, pp. 1-10.

Growth of local solutions to linear differential equations around an isolated essential singularity

Houari Fettouch, Saada Hamouda

Abstract:
In this article we study the growth of solutions to a class of linear differential equations around an isolated essential singularity point. By using conformal mapping we apply some results from the complex plane to a neighborhood of a singular point. We point out that there are several similarities between the results for complex plane and results in this article.

Submitted April 18, 2016. Published August 18, 2016.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equations; local growth of solutions; isolated essential singularity.

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Houari Fettouch
Laboratory of Pure and Applied Mathematics
University of Mostaganem, UMAB, Algeria
email: houari.fettouch@univ-mosta.dz
Saada Hamouda
Laboratory of Pure and Applied Mathematics
University of Mostaganem, UMAB, Algeria
email: saada.hamouda@univ-mosta.dz

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