On Subnormal Solutions of Periodic Differential Equations

  title={On Subnormal Solutions of Periodic Differential Equations},
  author={Z L Chen and Kwang Ho Shon},
and Applied Analysis 3 In 6 , the condition “all constant terms of P e andQ e are equal to zero” plays an important role in the growth of solutions of 1.2 . This makes us consider that the condition may be applied to higher-order differential equations. Gundersen and Steinbart 4 consider a subnormal solution of higher-order linear nonhomogeneous differential equation f k Pk−1 e f k−1 · · · P0 e f Q1 e Q2 ( e−z ) , 1.8 where Qd z d 1, 2 , Pj z j 0, . . . , k − 1 are polynomials in z and obtain… CONTINUE READING

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Showing 1-9 of 9 references

The hyper order of solutions of second order differential equations and subnormal solutions of periodic equations,

  • Z.-X. Chen, K. H. Shon
  • Taiwanese Journal of Mathematics,
  • 2010

Growth of solutions of nonhomogeneous linear di ff erential equations

  • I. Laine
  • Uniqueness Theory of Meromorphic Functions
  • 2003

On growth k-order of solutions of a complex homogeneous linear differential equation,

  • L. G. Bernal
  • Annals of Mathematics, vol. 24B,
  • 2003

Uniqueness Theory of Meromorphic Functions, vol. 557 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht

  • C.-C. Yang, H.-X. Yi
  • The Netherlands,
  • 2003

Subnormale Lösungen der Di ff erentialgleichung : w ′ ′  p  ez  w ′  q  ez  w  0

  • K. H. Shon
  • Nagoya Mathematical Journal
  • 1994

Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates,

  • G. G. Gundersen
  • Journal of the London Mathematical Society,
  • 1988

Some further results on the zeros and growths of entire solutions of second order linear di ff erential equations

  • C.-C. Yang
  • Proceedings of the American Mathematical Society
  • 1987

Subnormal solutions of second order linear di ff erential equations with periodic coe ffi cients

  • E. M. Steinbart
  • Results in Mathematics

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