TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

Powered by:Powered by

Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Article

Meromorphic solutions to linear differential equations with entire coefficients of [p,q]-order

* ,

* Corresponding author · click or hover a name for details

pp. 33–53Vol. 16Issue 1January 2018DOI: 10.1080/1726037X.2017.1413065XML
Received:
02 Jan 2017
Accepted:
10 Nov 2017
Published Online:
12 Jun 2018
Article type:
Article
Language:
EN
Article no.:
1726037X.2017.1413065
Pages:
33–53

Abstract

In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order homogeneous and nonhomogeneous linear differential equations in which the coefficients are entire functions of finite [p, q]-order. We get the results about [p, q]-order and the [p, q]-convergence exponent of solutions for such equations.

Keywords

Subject Classifications

34M1030D35

References

  1. S.Bank, A general theorem concerning the growth of solutions of first-order algebraic differential equations , Compositio Math . 25 ( 1972 ), 61 – 70 .
  2. B.Belaïdi, , Electron. J. Differential Equations 2011 , No. 156 , 11 pp.
  3. B.Belaïdi, , J. Math. Anal. 3 ( 2012 ), no. 1 , 1 – 11 .
  4. B.Belaïdi, , Romai J.,v. 11 , No. 1 ( 2015 ), 33 – 46 .
  5. B.Belaïdi, , Rom. J. Math. Comput. Sci. 5 ( 2015 ), no. 1 , 46 – 62 .
  6. T.B.Cao, J.F.Xu and Z.X.Chen, , J. Math. Anal. Appl. 364 ( 2010 ), no. 1 , 130 – 142 .
  7. A.Ferraoun, B.Belaïdi, , Communications in Optimization Theory , Vol. 2017 ( 2017 ), Article ID 17, 1 – 23 .
  8. A.A.Goldberg, I. V.Ostrovskii, The distribution of values of meromorphic functions, Irdat Nauk, Moscow, 1970 (in Russian), Transl. Math. Monogr., vol. 236, Amer. Math. Soc., Providence RI, 2008 .
  9. G.G.Gundersen, , J. London Math. Soc. ( 2 ) 37 ( 1988 ), no. 1, 88 – 104 .
  10. G.G.Gundersen, , Trans. Amer. Math. Soc. 305 ( 1988 ), no. 1 , 415 – 429 .
  11. K.Hamani, B.Belaïdi, , Acta Univ. Apulensis Math. Inform. No. 27 ( 2011 ), 203 – 216 .
  12. W. K.Hayman, , Oxford Mathematical Monographs Clarendon Press , Oxford1964 .
  13. H.Hu, X.M.Zheng, , Electron. J. Differential Equations 2012 , No. 226 , 15 pp.
  14. O.P.Juneja, G.P.Kapoor and S. K.Bajpai, , J. Reine Angew. Math. 282 ( 1976 ), 53 – 67 .
  15. L.Kinnunen, , Southeast Asian Bull. Math. 22 ( 1998 ), no. 4 , 385 – 405 .
  16. I.Laine, , de Gruyter Studies in Mathematics, 15. Walter de Gruyter & Co. , Berlin, 1993 .
  17. L. M.Li, T.B.Cao, , Electron. J. Differential Equations 2012 , No. 195 , 15 pp.
  18. J.Liu, J.Tu and L. Z.Shi, , J. Math. Anal. Appl. 372 ( 2010 ), no. 1 , 55 – 67 .
  19. J.R.Long, J.Zhu, , Adv. Difference Equ. 2016 , 2016 : 107 , 13 pp.
  20. M.Saidani, B.Belaïdi, , Novi Sad J. Math. , Vol. 46 , No. 2 , 2016 , 117 – 133 .
  21. J.Tu, T.Long, , Electron. J. Qual. Theory Differ. Equ. 2009 , No. 66 , 1 – 13 .
  22. J.Tu, Z.X.Chen, , Southeast Asian Bull. Math. 33 ( 2009 ), no. 1 , 153 – 164 .
  23. S.Z.Wu, X.M.Zheng, , Adv. Difference Equ. 2015 , 2015 : 32 , 13 pp.
  24. C.C.Yang, H.X.Yi, , Mathematics and its Applications, 557. Kluwer Academic Publishers Group , Dordrecht, 2003 .
  25. L.Yang, , Springer-Verlag , Berlin, 1993 .
  26. M.L.Zhan, X.M.Zheng, , Ann. Differential Equations 30 ( 2014 ), no. 3 , 364 – 372 .
Views: 32Downloads: 73Citations: 0