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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/114/abstr.html |