Results 61 to 70 of about 288 (167)

Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in ℂn#

Demonstratio Mathematica, 2023
In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
doaj   +1 more source

Combinatorial zeta functions counting triangles

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard, Yann Chaubet, Nguyen Viet Dang, Thomas Schick   +3 more
wiley   +1 more source

Space-time holomorphic time-periodic solutions of Navier-Stokes equations

Electronic Journal of Differential Equations, 2013
We introduce a concept of space-time holomorphic solutions of partial differential equations and construct a meromorphic solution of Navier-Stokes equations, which can be either space or time periodic.
Eugene Tsyganov
doaj  

Algebraic Principles as a Tool for Energy Saving

Chemical Engineering Transactions, 2020
This paper discusses algebraic approaches of control design for a set of Single Input – Single Output (SISO) delayed systems that are further developed and discussed.
Roman Prokop, Jirí Korbel, Libor Pekar
doaj   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
wiley   +1 more source

On the K‐stability of blow‐ups of projective bundles

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We investigate the K‐stability of certain blow‐ups of P1$\mathbb {P}^1$‐bundles over a Fano variety V$V$, where the P1$\mathbb {P}^1$‐bundle is the projective compactification of a line bundle L$L$ proportional to −KV$-K_V$ and the center of the blow‐up is the image along a positive section of a divisor B$B$ also proportional to L$L$. When V$V$
Daniel Mallory
wiley   +1 more source

Some results on uniqueness and higher order difference equations

Open Mathematics
In this article, we mainly study the solution of higher order difference equations. We solve some questions posed by Chen and Xu [Uniqueness on entire functions and their nth order exact differences with two shared values, Open Math. 18 (2020), no.
An Jia, Zhang Haiying, Wang Ge, Fang Mingliang   +3 more
doaj   +1 more source

Uniqueness of meromorphic solutions sharing values with a meromorphic function to w(z+1)w(z−1)=h(z)wm(z) $w(z + 1)w(z - 1) = h(z)w^{m}(z)$

Advances in Difference Equations, 2019
For the nonlinear difference equations of the form w(z+1)w(z−1)=h(z)wm(z), $$ w(z + 1)w(z - 1) = h(z)w^{m}(z), $$ where h(z) $h(z)$ is a nonzero rational function and m=±2,±1,0 $m = \pm 2, \pm 1,0$, we show that its transcendental meromorphic solution is
BaoQin Chen, Sheng Li
doaj   +1 more source