Oscillation of solutions of linear differential equations (Q928250)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Oscillation of solutions of linear differential equations |
scientific article; zbMATH DE number 5286527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation of solutions of linear differential equations |
scientific article; zbMATH DE number 5286527 |
Statements
Oscillation of solutions of linear differential equations (English)
0 references
11 June 2008
0 references
The paper under review is concerned with the second-order differential equation \[ f'' + e^{-z}f' + Q(z)f = F(z), \] where \(F(z)\) and \(Q(z)\) are entire functions with \(\rho (F)<1\) and \(Q(z) = h(z)e^{cz}\), \(\rho(h) < 1/2\), \(c\in\mathbb R\). The authors obtains several results on growth properties, zeros and fixed points distributions of the solutions of the equations bu using Nevanlinna's theory and Wiman-Valiron theory.
0 references
complex differential equations
0 references
entire functions
0 references
hyper-order
0 references
0 references
0 references
0 references
0.9999998
0 references
0.9819824
0 references
0.9771909
0 references
0.96692955
0 references
0.96604663
0 references
0.9647204
0 references