Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients
The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been proposed based on Nevanlinna value distribution theor...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2023.2212117 |
| _version_ | 1827774535729938432 |
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| author | Zhongwei He Lingyun Gao |
| author_facet | Zhongwei He Lingyun Gao |
| author_sort | Zhongwei He |
| collection | DOAJ |
| description | The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been proposed based on Nevanlinna value distribution theory. Compared with the existing results, the proposed hyper-order of all meromorphic solutions with infinite order can be estimated in terms of a bounded interval which includes information of order of growth of meromorphic functions and meromorphic polynomial coefficients. |
| first_indexed | 2024-03-11T13:39:45Z |
| format | Article |
| id | doaj.art-c3241cb69e3147ea9de2e024e3d53da8 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:45Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-c3241cb69e3147ea9de2e024e3d53da82023-11-02T13:48:31ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2023.22121172212117Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficientsZhongwei He0Lingyun Gao1Jiangxi University of Finance and EconomicsJinan UniversityThe authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been proposed based on Nevanlinna value distribution theory. Compared with the existing results, the proposed hyper-order of all meromorphic solutions with infinite order can be estimated in terms of a bounded interval which includes information of order of growth of meromorphic functions and meromorphic polynomial coefficients.http://dx.doi.org/10.1080/27690911.2023.2212117linear differential equationsorder of growthcomplex oscillationzerosexponents of convergence |
| spellingShingle | Zhongwei He Lingyun Gao Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients Applied Mathematics in Science and Engineering linear differential equations order of growth complex oscillation zeros exponents of convergence |
| title | Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients |
| title_full | Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients |
| title_fullStr | Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients |
| title_full_unstemmed | Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients |
| title_short | Interval estimation on hyper-order of meromorphic solutions of complex linear differential equations with uncertain coefficients |
| title_sort | interval estimation on hyper order of meromorphic solutions of complex linear differential equations with uncertain coefficients |
| topic | linear differential equations order of growth complex oscillation zeros exponents of convergence |
| url | http://dx.doi.org/10.1080/27690911.2023.2212117 |
| work_keys_str_mv | AT zhongweihe intervalestimationonhyperorderofmeromorphicsolutionsofcomplexlineardifferentialequationswithuncertaincoefficients AT lingyungao intervalestimationonhyperorderofmeromorphicsolutionsofcomplexlineardifferentialequationswithuncertaincoefficients |