Dual exponential polynomials and linear differential equations

Dual exponential polynomials and linear differential equations
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DOI:
10.1016/j.jde.2017.09.003
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发表时间:
2018-01
影响因子:
2.4
通讯作者:
Z. Wen;G. Gundersen;J. Heittokangas
Z. Wen;G. Gundersen;J. Heittokangas
中科院分区:
数学2区
文献类型:
--
作者:
Z. Wen;G. Gundersen;J. Heittokangas

文献摘要

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We study linear differential equations with exponential polynomial coefficients, where exactly one coefficient is of order greater than all the others. The main result shows that a nontrivial exponential polynomial solution of such an equation has a certain dual relationship with the maximum order coefficient. Several examples illustrate our results and exhibit possibilities that can occur.