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- Title
ASYMPTOTIC PROPERTIES OF MEROMORPHIC SOLUTIONS OF DIFFERENTIAL EQUATIONS IN A NEIGHBORHOOD OF A LOGARITHMIC SINGULARITY.
- Authors
KOLYASA, L. I.; MOKHON'KO, A. Z.; MOKHON'KO, V. D.
- Abstract
We obtain asymptotic estimates of the moduli of meromorphic solutions with a logarithmic singularity at то of the differential equation £k+s=mfkfisVks(z)zTksLnKksz = £ |K|<m bK(z)fk0fk¹ ...$>, f = fi, ..., f (p) = fp, K =(ko,ki,...,kp), \K\ = ko + ki + . . . + kp; T m - s, s - s < rm-n,n - n, s <n = max{s: k + s = m,cks = 0}; where vks(z),bK(z) are analytic functions such that Уа,в, --то < a < в < +то, \ЬК (rei6 )\ < ГТК, Vks(reie) = Cks + 0(1), Г ^ +TO, a < в < в; Us, Kks, TK Є R, Cks Є C.
- Subjects
MEROMORPHIC functions; DIFFERENTIAL equations; MATHEMATICAL singularities; ANALYTIC functions; NEVANLINNA theory
- Publication
Matematychni Studii, 2014, Vol 42, Issue 1, p67
- ISSN
1027-4634
- Publication type
Article