On entire solutions of certain type of nonlinear differential equations

On entire solutions of certain type of nonlinear differential equations

In this paper, we shall extend some results regarding the growth estimate of entire solutions of certain type of linear differential equations to that of nonlinear differential equations. Moreover, our results will include several known results for linear differential equations obtained earlier as s...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (6), p.6124-6134
Hauptverfasser: Zhang, Fengrong, Wu, Linlin, Yang, Jing, Lü, Weiran
Format: Artikel
Sprache:eng
Schlagworte:
differential equation
Differential equations
entire solution
hyper-order
mathieu equation
nevanlinna theory
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Zusammenfassung:In this paper, we shall extend some results regarding the growth estimate of entire solutions of certain type of linear differential equations to that of nonlinear differential equations. Moreover, our results will include several known results for linear differential equations obtained earlier as special cases. Keywords: entire solution; differential equation; mathieu equation; hyper-order; nevanlinna theory Mathematics Subject Classification: 34M10, 30D05, 30D35
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020393