Entire solutions of Fermat type differential-difference equations
From MaRDI portal
Publication:453166
DOI10.1007/s00013-012-0408-9zbMath1270.34170OpenAlexW2074339599MaRDI QIDQ453166
Hongzhe Cao, Kai Liu, Ting-Bin Cao
Publication date: 18 September 2012
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-012-0408-9
General theory of functional-differential equations (34K05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)
Related Items (51)
On the entire solutions for several partial differential difference equations (systems) of Fermat type in \(\mathbb{C}^2\) ⋮ The existence and forms of solutions for some Fermat-type differential-difference equations ⋮ Transcendental entire solutions of several Fermat type PDEs and PDDEs with two complex variables ⋮ Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables ⋮ Solutions for systems of complex Fermat type partial differential-difference equations with two complex variables ⋮ On the existence of solutions of a Fermat-type difference equation ⋮ The study of solutions of several systems of nonlinear partial differential difference equations ⋮ Unnamed Item ⋮ On entire solutions of some differential-difference equations ⋮ Entire solutions for several general quadratic trinomial differential difference equations ⋮ On meromorphic solutions of certain differential-difference equations ⋮ Uniqueness of difference polynomials ⋮ Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in \(\mathbb{C}^2\) ⋮ On entire solutions of two certain Fermat-type differential-difference equations ⋮ On solutions for several systems of complex nonlinear partial differential equations with two variables ⋮ Transcendental solutions of Fermat-type functional equations in \(\mathbb{C}^n\) ⋮ Meromorphic solutions of nonlinear systems of Fermat type ⋮ Entire and meromorphic solutions for several Fermat type partial differential difference equations in \(\mathbb{C}^2\) ⋮ Entire solutions on a system of Fermat type q-difference-differential equations ⋮ Solutions of Fermat-type partial differential-difference equations in \(\mathbb{C}^n\) ⋮ Entire solutions of the second-order Fermat-type differential-difference equation ⋮ ON THE PERIODICITY OF TRANSCENDENTAL ENTIRE FUNCTIONS ⋮ Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in \(\mathbb{C}^{n\#} \) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Class of meromorphic functions partially shared values with their differences or shifts ⋮ Unnamed Item ⋮ The existence and forms of solutions for several systems of the Fermat-type difference-differential equations ⋮ Notes on solutions for some systems of complex functional equations in \(\mathbb{C}^2\) ⋮ Entire solutions for complex systems of the second-order partial differential difference equations of Fermat type ⋮ Results on entire and meromorphic solutions for several systems of quadratic trinomial functional equations with two complex variables ⋮ Notes on the existence of entire solutions for several partial differential-difference equations ⋮ Existence of entire solutions of some non-linear differential-difference equations ⋮ Solutions of complex Fermat-type partial difference and differential-difference equations ⋮ A note on solutions of some differential-difference equations ⋮ On meromorphic solutions of functional equations of Fermat type ⋮ Exponential polynomials as solutions of differential-difference equations of certain types ⋮ Entire solutions for several systems of nonlinear difference and partial differential-difference equations of Fermat-type ⋮ Properties of \(q\)-shift difference-differential polynomials of meromorphic functions ⋮ Existence of meromorphic solutions of some generalized Fermat functional equations ⋮ On shared-value properties of \(f^\prime(z)=f(z+c)\) ⋮ On the Fermat-type difference equation \(f^3(z)+[c_1f(z+c)+c_0f(z)^3=E^{\alpha z+\beta}\)] ⋮ Entire solutions of some differential-difference equations ⋮ Further results about a special Fermat-type difference equation ⋮ An inequality on the difference polynomials of meromorphic functions and its application ⋮ Unnamed Item ⋮ Entire and meromorphic solutions for systems of the differential difference equations ⋮ Unnamed Item ⋮ Entire solutions for several complex partial differential-difference equations of Fermat type in \(\mathbb{C}^2\) ⋮ Fixed points of differences of meromorphic functions ⋮ Entire solutions for some Fermat type functional equations concerning difference and partial differential in \(\mathbb{C}^2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
- On analogies between nonlinear difference and differential equations
- Nevanlinna theory and complex differential equations
- On the transcendental solutions of a certain type of nonlinear differential equations
- Meromorphic functions sharing a set with applications to difference equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Existence of entire solutions of nonlinear difference equations
- Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
- On the equation 𝑓ⁿ+𝑔ⁿ=1
- On the Functional Equation f n +g n = h n
- A Generalization of a Theorem of P. Montel on Entire Functions
This page was built for publication: Entire solutions of Fermat type differential-difference equations
