Tbilisi Mathematical Journal

Meromorphic solutions of nonlinear ordinary differential equations

P. G. Siddheshwar, A. Tanuja, Subhas S. Bhoosnurmath, and Mahesh Barki

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Abstract

Meromorphic solutions of a class of nonlinear ordinary differential equations in $g(z)$ under the assumption that finite-degree polynomials with coefficients as small functions of $g$ share one-value with the nonlinear differential operator of the equation. The concept of sharing one-value is used in the sense of counting multiplicity or ignoring multiplicity.

Article information

Source
Tbilisi Math. J., Volume 12, Issue 2 (2019), 77-88.

Dates
Received: 24 August 2018
Accepted: 20 March 2019
First available in Project Euclid: 21 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1561082569

Digital Object Identifier
doi:10.32513/tbilisi/1561082569

Mathematical Reviews number (MathSciNet)
MR3973261

Subjects
Primary: 30D35: Distribution of values, Nevanlinna theory

Keywords
Nevanlinna theory complex differential equations meromorphic functions shared values

Citation

Siddheshwar, P. G.; Tanuja, A.; Bhoosnurmath, Subhas S.; Barki, Mahesh. Meromorphic solutions of nonlinear ordinary differential equations. Tbilisi Math. J. 12 (2019), no. 2, 77--88. doi:10.32513/tbilisi/1561082569. https://projecteuclid.org/euclid.tbilisi/1561082569


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References

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