GROWTH AND OSCILLATION OF SOLUTIONS TO HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF FINITE LOGARITH-MIC ORDER

  • AMINA FERRAOUN
    Department of Mathematics, Laboratory of Pure and Applied Mathematics, Universi-ty of Mostaganem (UMAB), B. P. 227 Mostaganem-Algeria.
  • BENHARRAT BELAÏDI
    Department of Mathematics, Laboratory of Pure and Applied Mathematics, Universi-ty of Mostaganem (UMAB), B. P. 227 Mostaganem-Algeria.

Abstract

In this paper, we study the growth of solutions of complex higher order linear differential equations with entire or meromorphic coefficients of finite logarithmic order. We extend some precedent results due to L. Kinnunen; B. Belaïdi; J. Liu, J. Tu and L. Z. Shi; H. Hu, X. M. Zheng; T. B. Cao, K. Liu and J. Wang and others. We also consider the fixed points of solutions in this paper.

Cuvinte cheie

Entire functions meromorphic functions differential equations logarithmic order loga-rithmic type