Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order
We study the relationship between "small functions" and the derivative of solutions to the higher order linear differential equation $$ f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\quad (k\geq 2) $$ Here $A_j(z)\; (j=0,1,\dots,k-1)$ are entire functions or meromorphic functions of [p,q]-o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/73/abstr.html |
| _version_ | 1818247914333405184 |
|---|---|
| author | Hong-Yan Xu Jin Tu |
| author_facet | Hong-Yan Xu Jin Tu |
| author_sort | Hong-Yan Xu |
| collection | DOAJ |
| description | We study the relationship between "small functions" and
the derivative of solutions to the higher order linear differential equation
$$
f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\quad (k\geq 2)
$$
Here $A_j(z)\; (j=0,1,\dots,k-1)$ are entire functions or meromorphic
functions of [p,q]-order. |
| first_indexed | 2024-12-12T15:12:16Z |
| format | Article |
| id | doaj.art-4b38407fd7aa40b7bdbe46eef8876fe4 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T15:12:16Z |
| publishDate | 2014-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4b38407fd7aa40b7bdbe46eef8876fe42022-12-22T00:20:35ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-03-01201473,114Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-orderHong-Yan Xu0Jin Tu1 Jingdezhen Ceramic Institute, Jiangxi, China Jiangxi Normal Univ., Jiangxi, China We study the relationship between "small functions" and the derivative of solutions to the higher order linear differential equation $$ f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\quad (k\geq 2) $$ Here $A_j(z)\; (j=0,1,\dots,k-1)$ are entire functions or meromorphic functions of [p,q]-order.http://ejde.math.txstate.edu/Volumes/2014/73/abstr.htmlLinear differential equationoscillationsmall function[p,q]-order |
| spellingShingle | Hong-Yan Xu Jin Tu Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order Electronic Journal of Differential Equations Linear differential equation oscillation small function [p,q]-order |
| title | Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order |
| title_full | Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order |
| title_fullStr | Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order |
| title_full_unstemmed | Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order |
| title_short | Oscillation of meromorphic solutions to linear differential equations with coefficients of [p,q]-order |
| title_sort | oscillation of meromorphic solutions to linear differential equations with coefficients of p q order |
| topic | Linear differential equation oscillation small function [p,q]-order |
| url | http://ejde.math.txstate.edu/Volumes/2014/73/abstr.html |
| work_keys_str_mv | AT hongyanxu oscillationofmeromorphicsolutionstolineardifferentialequationswithcoefficientsofpqorder AT jintu oscillationofmeromorphicsolutionstolineardifferentialequationswithcoefficientsofpqorder |