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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Published inAIMS mathematics Vol. 5; no. 6; pp. 6124 - 6134
Main Authors Zhang, Fengrong, Wu, Linlin, Yang, Jing, Lü, Weiran
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
differential equation
entire solution
hyper-order
mathieu equation
nevanlinna theory
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Abstract 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.
AbstractList 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.
Author Wu, Linlin
Zhang, Fengrong
Yang, Jing
Lü, Weiran
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Cites_doi 10.1007/BF01110073
10.4064/ap-38-3-259-287
10.2996/kmj/1138044047
10.5186/aasfm.2013.3840
10.1016/0001-8708(75)90124-3
10.1016/j.jmaa.2005.07.066
10.5186/aasfm.1992.1723
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10.1016/j.jmaa.2010.09.026
10.2969/jmsj/04540705
10.1017/S0308210500014451
10.11650/twjm/1500405809
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Z. X. Chen, K. H. Shon (4)
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StartPage 6124
SubjectTerms differential equation
entire solution
hyper-order
mathieu equation
nevanlinna theory
Title On entire solutions of certain type of nonlinear differential equations
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