Results 51 to 60 of about 1,003 (182)

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

Triangular functions method for the solution of Fredholm integral equations system

Ain Shams Engineering Journal, 2012
A numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems. The powerful properties of orthogonal triangular functions are utilized in a direct method to reduce a ...
H. Almasieh, M. Roodaki
doaj   +1 more source

Harmonic maps to the circle with higher dimensional singular set

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley   +1 more source

Integrating evolution equations using Fredholm determinants

Electronic Research Archive, 2021
<p style='text-indent:20px;'>We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical ...
openaire   +2 more sources

Construction of a Multitissue Cell Atlas Reveals Cell‐Type‐Specific Regulation of Molecular and Complex Phenotypes in Pigs

Advanced Science, Volume 13, Issue 8, 9 February 2026.
This research conducts an in‐depth investigation of cell‐type‐specific regulatory mechanisms underlying molecular and complex phenotypes through integrative analysis of multitissue single‐nucleus RNA sequencing, bulk RNA‐seq, and genome‐wide association study (GWAS) data in pigs.
Lijuan Chen, Houcheng Li, Jinyan Teng, Zhen Wang, Xiaolu Qu, Zhe Chen, Xiaodian Cai, Haonan Zeng, Zhonghao Bai, Jinghui Li, Xiangchun Pan, Leyan Yan, Fei Wang, Lin Lin, Yonglun Luo, Goutam Sahana, Mogens Sandø Lund, Maria Ballester, Daniel Crespo‐Piazuelo, Peter Karlskov‐Mortensen, Merete Fredholm, Alex Clop, Marcel Amills, Crystal Loving, Christopher K. Tuggle, Ole Madsen, Jiaqi Li, Zhe Zhang, George E. Liu, Jicai Jiang, Lingzhao Fang, Guoqiang Yi   +31 more
wiley   +1 more source

Involvement of Adenosine A2A Receptors in Anxiety‐Like Behaviors in Tetrahydrocannabinol‐Treated Mice

Brain and Behavior, Volume 16, Issue 2, February 2026.
This study evaluated anxiety‐like behavior in mice across treatment and control groups using open field and elevated plus maze tests, followed by hippocampal receptor gene expression analysis. The combined behavioral and molecular data identify potential receptor‐level mechanisms underlying the observed treatment‐associated behavioral changes. ABSTRACT
Burçin Ün, Zeki Akarsakarya, Özlem Yorulmaz Özü, Nermin Seda Ilgaz, Mehmet Bertan Yılmaz, Deniz Seçilmiş, Mehmet Ata Seçilmiş   +6 more
wiley   +1 more source

Solving linear Fredholm-Stieltjes integral equations of the second kind by using the generalized Simpson’s rule

MANAS: Journal of Engineering, 2016
In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple.
A. Asanov, S. Yanık
doaj  

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

Journal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj   +1 more source

On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications

Journal of Inequalities and Applications, 2018
In this paper, we establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time scales. Our results not only generalize and extend some known integral inequalities, but also provide a handy and effective tool for the study of
Haidong Liu
doaj   +1 more source