Solutions of with prescribed sequences of zeros.
Heittokangas, J., Laine, I. (2005)
Acta Mathematica Universitatis Comenianae. New Series
Gundersen, Gary G. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
Venkatesulu, M., Baruah, Pallav Kumar (1996)
Journal of Applied Mathematics and Stochastic Analysis
Boichuk, Alexandr, Langerová, Martina, Škoríková, Jaroslava (2010)
Advances in Difference Equations [electronic only]
Alberto Bressan (1983)
Rendiconti del Seminario Matematico della Università di Padova
Antonio Ambrosetti, Giovanni Mancini (1981)
Mathematische Annalen
Ting-Bin Cao, Zhong-Shu Deng (2010)
Annales Polonici Mathematici
The main purpose of this paper is to consider the analytic solutions of the non-homogeneous linear differential equation , where all coefficients , F ≢ 0 are analytic functions in the unit disc = z∈ℂ: |z|<1. We obtain some results classifying the growth of finite iterated order solutions in terms of the coefficients with finite iterated type. The convergence exponents of zeros and fixed points of solutions are also investigated.
Gundersen, Gary G., Steinbart, Enid M., Wang, Shupei (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
Ondřej Došlý (2017)
Archivum Mathematicum
We establish an asymptotic formula for a pair of linearly independent solutions of the subcritical Riemann–Weber type half-linear differential equation. We also complement the results of the author and M. Ünal, Acta Math. Hungar. 120 (2008), 147–163, where the equation was considered in the critical case.
Chambers, Ll.G. (1992)
International Journal of Mathematics and Mathematical Sciences
J. M. Lasry (1982/1983)
Séminaire Équations aux dérivées partielles (Polytechnique)
M.N. Nkashama (1985)
Bulletin de la Société Mathématique de France
Chouikha, A.Raouf (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Éric Benoît, Augustin Fruchard, Reinhard Schäfke, Guy Wallet (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Kosmatov, N. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Švec, M. (1990)
Equadiff 7
Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
Su, Xinwei, Zhang, Shuqin (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Tian, Yu (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Lv, Zhi-Wei, Liang, Jin, Xiao, Ti-Jun (2010)
Advances in Difference Equations [electronic only]