On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients
Joint Authors
Long, Jianren
Qiu, Chunhui
Wu, Pengcheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider that the linear differential equations f(k)+Ak-1(z)f(k-1)+⋯+A1(z)f′+A0(z)f=0, where Aj (j=0,1,…,k-1), are entire functions.
Assume that there exists l∈{1,2,…,k-1}, such that Al is extremal for Yang's inequality; then we will give some conditions on other coefficients which can guarantee that every solution f(≢0) of the equation is of infinite order.
More specifically, we estimate the lower bound of hyperorder of f if every solution f(≢0) of the equation is of infinite order.
American Psychological Association (APA)
Long, Jianren& Qiu, Chunhui& Wu, Pengcheng. 2014. On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013678
Modern Language Association (MLA)
Long, Jianren…[et al.]. On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013678
American Medical Association (AMA)
Long, Jianren& Qiu, Chunhui& Wu, Pengcheng. On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013678