Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc
In this article, we study the relationship between solutions and their derivatives of the differential equation $$ f''+A(z)f'+B(z)f=F(z), $$ where $A(z), B(z), F(z)$ are meromorphic functions of finite iterated p-order in the unit disc. We obtain some oscillation theorems for $...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-03-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/68/abstr.html |
| id |
doaj-496d8c83e8714c11b700f80da9c4e4e7 |
|---|---|
| record_format |
Article |
| spelling |
doaj-496d8c83e8714c11b700f80da9c4e4e72020-11-24T23:57:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-03-01201568,112Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit discPan Gong0Li-Peng Xiao1 Jiangxi Normal Univ., Nanchang, China Jiangxi Normal Univ., Nanchang, China In this article, we study the relationship between solutions and their derivatives of the differential equation $$ f''+A(z)f'+B(z)f=F(z), $$ where $A(z), B(z), F(z)$ are meromorphic functions of finite iterated p-order in the unit disc. We obtain some oscillation theorems for $f^{(j)}(z)-\varphi(z)$, where f is a solution and $\varphi(z)$ is a small function.http://ejde.math.txstate.edu/Volumes/2015/68/abstr.htmlUnit disciterated ordergrowthexponent of convergence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Pan Gong Li-Peng Xiao |
| spellingShingle |
Pan Gong Li-Peng Xiao Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc Electronic Journal of Differential Equations Unit disc iterated order growth exponent of convergence |
| author_facet |
Pan Gong Li-Peng Xiao |
| author_sort |
Pan Gong |
| title |
Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc |
| title_short |
Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc |
| title_full |
Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc |
| title_fullStr |
Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc |
| title_full_unstemmed |
Oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc |
| title_sort |
oscillation of arbitrary-order derivatives of solutions to linear differential equations taking small functions in the unit disc |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2015-03-01 |
| description |
In this article, we study the relationship between solutions and
their derivatives of the differential equation
$$
f''+A(z)f'+B(z)f=F(z),
$$
where $A(z), B(z), F(z)$ are meromorphic functions of finite iterated
p-order in the unit disc.
We obtain some oscillation theorems for $f^{(j)}(z)-\varphi(z)$,
where f is a solution and $\varphi(z)$ is a small function. |
| topic |
Unit disc iterated order growth exponent of convergence |
| url |
http://ejde.math.txstate.edu/Volumes/2015/68/abstr.html |
| work_keys_str_mv |
AT pangong oscillationofarbitraryorderderivativesofsolutionstolineardifferentialequationstakingsmallfunctionsintheunitdisc AT lipengxiao oscillationofarbitraryorderderivativesofsolutionstolineardifferentialequationstakingsmallfunctionsintheunitdisc |
| _version_ |
1725455356854796288 |