Growth of meromorphic solutions of delay differential equations
From MaRDI portal
Publication:2970069
DOI10.1090/proc/13559zbMath1361.30049arXiv1602.08318OpenAlexW2963794972MaRDI QIDQ2970069
Publication date: 27 March 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.08318
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Neutral functional-differential equations (34K40)
Related Items (28)
EXPRESSIONS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF NONLINEAR COMPLEX DIFFERENTIAL EQUATIONS ⋮ Integrable delay-difference and delay-differential analogs of the KdV, Boussinesq, and KP equations ⋮ On the entire solutions for several partial differential difference equations (systems) of Fermat type in \(\mathbb{C}^2\) ⋮ On meromorphic solutions of the Fermat-type functional equation \(f(z)^n+f(z+c)^m=e^{\alpha z+\beta}\) ⋮ A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations ⋮ Meromorphic solutions of a first order differential equations with delays ⋮ Characterization on transcendental entire solutions of certain types of non-linear generalized delay-differential equations ⋮ Unnamed Item ⋮ Uniqueness of Meromorphic functions concerning k-th derivatives and difference operators ⋮ Uniqueness of derivatives and shifts of meromorphic functions ⋮ On uniqueness of meromorphic solutions to delay differential equation ⋮ Remarks on meromorphic solutions of some delay-differential equations ⋮ Meromorphic solutions of higher order delay differential equations ⋮ Further results on shared-value properties of \(f^{\prime}(z)=f(z+c)\) ⋮ Painlevé III and V types differential difference equations ⋮ Studies of Differences from the point of view of Nevanlinna Theory ⋮ The growth of meromorphic solutions of a class of delay-differential equations ⋮ Unnamed Item ⋮ QUANTITATIVE PROPERTIES OF MEROMORPHIC SOLUTIONS TO SOME DIFFERENTIAL-DIFFERENCE EQUATIONS ⋮ Unnamed Item ⋮ Meromorphic solutions of delay differential equations related to logistic type and generalizations ⋮ Meromorphic solutions of complex differential-difference equations ⋮ Three approaches to detecting discrete integrability ⋮ Meromorphic solutions of certain type of differential-difference equations ⋮ On shared-value properties of \(f^\prime(z)=f(z+c)\) ⋮ Entire solutions of a certain type of nonlinear differential-difference equations ⋮ ENTIRE SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS OF MALMQUIST TYPE ⋮ Singularity confinement in delay-differential Painlevé equations
Cites Work
- Unnamed Item
- Unnamed Item
- Nevanlinna theory and complex differential equations
- Delay-differential equations and the Painlevé transcendents
- Holomorphic curves with shift-invariant hyperplane preimages
- Finite-order meromorphic solutions and the discrete Painlevé equations
- Sur la dérivée des fonctions algébroïdes
- On the extension of the Painlevé property to difference equations
This page was built for publication: Growth of meromorphic solutions of delay differential equations