A note on the oscillation theory of certain second order differential equations.
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Wang, Shupei (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Mokhon'ko, A.Z., Mokhon'ko, V.D. (2000)
Siberian Mathematical Journal
Steinmetz, Norbert (2004)
Portugaliae Mathematica. Nova Série
Benharrat Belaïdi (2011)
Publications de l'Institut Mathématique
Cao, Ting-Bin (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Abdallah El Farissi, Benharrat Belaïdi (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper, we investigate the relationship between small functions and differential polynomials , where , , are entire functions that are not all equal to zero with
Xiao-Guang Qi, Lian-Zhong Yang (2011)
Annales Polonici Mathematici
We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.
Belaïdi, Benharrat (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Samir Cherief, Saada Hamouda (2021)
Mathematica Bohemica
In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted definitions.
Laine, Ilpo, Yang, Ronghua (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Steinmetz, Norbert (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
Habib Habib, Benharrat Belaïdi (2013)
Annales Polonici Mathematici
We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
El Farissi, Abdallah, Belaidi, Benharrat, Latreuch, Zinelaabidine (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Belaidi, Benharrat (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Benharrat Belaïdi (2011)
Kragujevac Journal of Mathematics
Benharrat Belaidi (2008)
Matematički Vesnik
Heittokangas, J., Korhonen, R., Rättyä, J. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
Chen, Wenjuan, Xu, Junfeng (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Ting-Bin Cao (2009)
Annales Polonici Mathematici
The main purpose of this paper is to partly answer a question of L. Z. Yang [Israel J. Math. 147 (2005), 359-370] by proving that every entire solution f of the differential equation has infinite order and its hyperorder is a positive integer or infinity, where P is a nonconstant entire function of order less than 1/2. As an application, we obtain a uniqueness theorem for entire functions related to a conjecture of Brück [Results Math. 30 (1996), 21-24].
Belaïdi, Benharrat (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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