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 $...
| Główni autorzy: | , |
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| Format: | Artykuł |
| Język: | English |
| Wydane: |
Texas State University
2015-03-01
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| Seria: | Electronic Journal of Differential Equations |
| Hasła przedmiotowe: | |
| Dostęp online: | http://ejde.math.txstate.edu/Volumes/2015/68/abstr.html |
| Streszczenie: | 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. |
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| ISSN: | 1072-6691 |