Results 61 to 70 of about 369 (181)

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

Solutions for linear differential equations with meromorphic coefficients of (p,q)-order in the plane

Electronic Journal of Differential Equations, 2012
In this article we study the growth of meromorphic solutions of high order linear differential equations with meromorphic coefficients of (p,q)-order. We extend some previous results due to Belaidi, Cao-Xu-Chen, Kinnunen, Liu- Tu -Shi, and others.
Lei-Min Li, Ting-Bin Cao
doaj  

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

The General Traveling Wave Solutions of the Fisher Equation with Degree Three

Advances in Mathematical Physics, 2013
We employ the complex method to research the integrality of the Fisher equations with degree three. We obtain the sufficient and necessary condition of the integrable of the Fisher equations with degree three and the general meromorphic solutions of the ...
Wenjun Yuan, Qiuhui Chen, Jianming Qi, Yezhou Li   +3 more
doaj   +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

Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations

Моделирование и анализ информационных систем, 2014
The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
doaj   +1 more source

On the growth of meromorphic solutions of the Schwarzian differential equations

Journal of Mathematical Analysis and Applications, 2005
The authors study the properties of meromorphic solutions of the Schwarzian differential equations in the complex plane by using some techniques from the study of the class \(W_p\), and find some upper bounds for the order of meromorphic solutions for some types of the Schwarzian differential equations. The authors also show that there are no wandering
Liao, Liangwen, Ye, Zhuan
openaire   +2 more sources

Uniqueness of meromorphic solutions of the difference equation R1(z)f(z+1)+R2(z)f(z)=R3(z) $R_{1}(z)f(z+1)+R_{2}(z)f(z)=R_{3}(z)$

Advances in Difference Equations, 2019
This paper mainly concerns the uniqueness of meromorphic solutions of first order linear difference equations of the form * R1(z)f(z+1)+R2(z)f(z)=R3(z), $$ R_{1}(z)f(z+1)+R_{2}(z)f(z)=R_{3}(z), $$ where R1(z)≢0 $R_{1}(z)\not \equiv 0$, R2(z) $R_{2}(z ...
Sheng Li, BaoQin Chen
doaj   +1 more source

Meromorphic solutions of linear q-difference equations

Journal of Mathematical Analysis and Applications
In this article, we construct explicit meromorphic solutions of first order linear $q$-difference equations in the complex domain and we describe the location of all their zeros and poles. The homogeneous case leans on the study of four fundamental equations, providing the previous informations in the framework of entire or meromorphic coefficients ...
Alberto Lastra, Pascal Remy
openaire   +4 more sources