Results 51 to 60 of about 369 (181)
The Scientific World Journal, 2013 This paper considers the oscillation on meromorphic solutions of the second-order linear differential equations with the form f′′+A(z)f=0, where A(z) is a meromorphic function with [p,q]-order.
Hong-Yan Xu, Jin Tu, Zu-Xing Xuan
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Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
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WKB asymptotics of meromorphic solutions to difference equations [PDF]
Applicable Analysis, 2019 We consider the difference Schr{\''o}dinger equation $ψ(z+h)+ψ(z-h)+ v(z)ψ(z)=0$ where $z$ is a complex variable and $h$ is a small positive parameter. If $v$ is an analytic function, then, for $h$ sufficiently small, the analytic solutions to this equation have standard semi-classical behavior that can be described by means of an analog of the complex
Alexander Fedotov, Frédéric Klopp
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Some Oscillation Results of Higher-Order Linear Differential Equations with Meromorphic Coefficients
Abstract and Applied Analysis, 2012 We investigate the growth of solutions of higher-order nonhomogeneous linear differential equations with meromorphic coefficients. We also discuss the relationship between small functions and solutions of such equations.
Zhigang Huang
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The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
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Meromorphic Solutions of Some Algebraic Differential Equations [PDF]
Abstract and Applied Analysis, 2014 By means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related results of Barsegian et al. (2002). We also give some examples to show that our results occur in some special cases.
Jianming Lin, Weiling Xiong, Wenjun Yuan
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Boundary Value Problems, 2019 This paper is mainly concerned with the boundary value problems for the general Schrödinger equation with general superlinear nonlinearity introduced in (Sun et al. in J. Inequal. Appl. 2018:100, 2018).
Hongjun He, Zhifeng Pang
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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Let F$F$ be a non‐Archimedean local field with odd characteristic p$p$. Let N$N$ be a positive integer and G=Sp2N(F)$G=\operatorname{Sp}_{2N}(F)$. By work of Lomelí on γ$\gamma$‐factors of pairs and converse theorems, a generic supercuspidal representation π$\pi$ of G$G$ has a transfer to a smooth irreducible representation Ππ$\Pi _\pi$ of ...
Corinne Blondel +2 more
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
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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 +3 more
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