Growth of solutions to higher-order linear differential equations with entire coefficients
In this article, we discuss the order and hyper-order of the linear differential equation $$ f^{(k) }+\sum_{j=1}^{k-1} (B_je^{b_jz}+D_je^{d_jz}) f^{(j) }+( A_1e^{a_1z}+A_2e^{a_2z}) f=0, $$ where $A_j(z), B_j(z), D_j(z)$ are entire functions $(\not\equiv 0)$ and $a_1,a_2,d_j$ are complex nu...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2014-04-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2014/114/abstr.html |