Nonlinear Loewy factorizable algebraic ODEs and Hayman's conjecture
DOI10.1007/s11856-018-1791-0zbMath1409.34078arXiv1710.08593OpenAlexW2963869510WikidataQ122966703 ScholiaQ122966703MaRDI QIDQ1717595
Publication date: 7 February 2019
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.08593
elliptic functionsNevanlinna characteristic functiongrowth of their meromorphic solutionsnonlinear Loewy factorizable algebraic ordinary differential equations
Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)
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Cites Work
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- Loewy decomposition of linear differential equations
- The growth of solutions of algebraic differential equations
- Explicit solutions of Fisher's equation for a special wave speed
- Nevanlinna theory and complex differential equations
- Some research problems about algebraic differential equations. II
- Some results on analytic and meromorphic solutions of algebraic differential equations
- Linear differential equations with solutions of finite iterated order
- A perturbative Painlevé approach to nonlinear differential equations
- On the meromorphic solutions of an equation of Hayman.
- Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations
- Some algebraic differential equations with few transcendental solutions
- All Admissible Meromorphic Solutions of Hayman's Equation
- Nonlinear Second Order Ode's: Factorizations and Particular Solutions
- Hayman’s classical conjecture on some nonlinear second-order algebraic ODEs
- Meromorphic solutions of higher order Briot–Bouquet differential equations
- Loewy decomposition of linear differential equations
- Meromorphic solutions of a third order nonlinear differential equation
- A Simple Example for a Theorem of Vijayaraghavan
- Meromorphic solutions of nonlinear ordinary differential equations
- Research Problems in Complex Analysis