Study the solution growth of second and higher order complex linear differential equations.

Eman A. Hussein; Ayad W. Ali

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Study the solution growth of second and higher order complex linear differential equations.

Author(s)

Eman A. Hussein Department of Mathematics, The University of Mustansiriyah, College of Sciences, Baghdad, Iraq

Ayad W. Ali Department of Mathematics, The University of Mustansiriyah, College of Sciences, Baghdad, Iraq

Abstract

in this paper we shall prove that any nontrivial solution of second and higher order complex linear differential equations has infinite order if the coefficients of them are entire functions and satisfy a certain conditions. Also we proved the above result for the special case of second order complex linear differential equation when the coefficients involved meromorphic functions and a nonconstant polynomial.

Publication Details

Page(s) 57-60

DOI DOI not available

Published Journal: Science International, Volume: 31, Issue: 1A, Year: 2019

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Keywords

complex differential equations, entire function, hyper order