Results 91 to 100 of about 369 (181)

Meromorphic solutions to non-linear differential-difference equations

Electronic Journal of Differential Equations, 2018
We consider the non-linear differential-difference equation $$ c(z)w(z+1)+a(z)\frac{w'(z)}{w(z)}=R(z,w(z)), $$ where R(z,w(z)) is rational in w(z) with rational coefficients, a(z) and c(z) are non-zero rational functions.
Changjiang Song, Kai Liu, Lei Ma
doaj  

A new approach to integrable evolution equations on the circle. [PDF]

Proc Math Phys Eng Sci, 2021
Fokas AS, Lenells J.
europepmc   +1 more source

Regularity of Solutions to the Muskat Equation. [PDF]

Arch Ration Mech Anal, 2023
Shi J.
europepmc   +1 more source

Properties of meromorphic solutions of \(q\)-difference equations

Electronic Journal of Differential Equations, 2015
Summary: We utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function \(f(z)\) that satisfies some \(q\)-difference equations, which can be seen the \(q\)-difference analogues of Painleve I and II equations. This article extends earlier results by \textit{Z.-X. Chen} and \textit{K. H. Shon} [J.
Xiaoguang Qi, Lianzhong Yang
openaire   +2 more sources

On meromorphic solutions of a functional equation, II [PDF]

Annales Polonici Mathematici, 1971
openaire   +2 more sources

Hirota, Fay and geometry. [PDF]

Lett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

Chebyshev series: Derivation and evaluation. [PDF]

PLoS One, 2023
Reynolds R, Stauffer A.
europepmc   +1 more source

The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]

Commun Math Phys
Caudrelier V, Harland D, Singh AA, Vicedo B.   +3 more
europepmc   +1 more source

Bayesian interpolation with deep linear networks. [PDF]

Proc Natl Acad Sci U S A, 2023
Hanin B, Zlokapa A.
europepmc   +1 more source

On the Open TS/ST Correspondence. [PDF]

Commun Math Phys
François M, Grassi A.
europepmc   +1 more source