Zeros of solutions of certain higher order linear differential equations

Hong-Yan Xu, and Cai-Feng Yi. "Zeros of solutions of certain higher order linear differential equations." Annales Polonici Mathematici 97.2 (2010): 123-136. <http://eudml.org/doc/280312>.

@article{Hong2010,
abstract = {We investigate the exponent of convergence of the zero-sequence of solutions of the differential equation $f^\{(k)\} + a_\{k-1\}(z)f^\{(k-1)\} + ⋯ + a₁(z)f^\{\prime \} +D(z)f=0$, (1) where $D(z) = Q₁(z)e^\{P₁(z)\} + Q₂(z)e^\{P₂(z)\} + Q₃(z)e^\{P₃(z)\}$, P₁(z),P₂(z),P₃(z) are polynomials of degree n ≥ 1, Q₁(z),Q₂(z),Q₃(z),$a_j(z)$ (j=1,..., k-1) are entire functions of order less than n, and k ≥ 2.},
author = {Hong-Yan Xu, Cai-Feng Yi},
journal = {Annales Polonici Mathematici},
keywords = {linear differential equation; entire functions; zeros},
language = {eng},
number = {2},
pages = {123-136},
title = {Zeros of solutions of certain higher order linear differential equations},
url = {http://eudml.org/doc/280312},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Hong-Yan Xu
AU - Cai-Feng Yi
TI - Zeros of solutions of certain higher order linear differential equations
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 2
SP - 123
EP - 136
AB - We investigate the exponent of convergence of the zero-sequence of solutions of the differential equation $f^{(k)} + a_{k-1}(z)f^{(k-1)} + ⋯ + a₁(z)f^{\prime } +D(z)f=0$, (1) where $D(z) = Q₁(z)e^{P₁(z)} + Q₂(z)e^{P₂(z)} + Q₃(z)e^{P₃(z)}$, P₁(z),P₂(z),P₃(z) are polynomials of degree n ≥ 1, Q₁(z),Q₂(z),Q₃(z),$a_j(z)$ (j=1,..., k-1) are entire functions of order less than n, and k ≥ 2.
LA - eng
KW - linear differential equation; entire functions; zeros
UR - http://eudml.org/doc/280312
ER -