Results 51 to 60 of about 2,202,910 (212)
Abstract and Applied Analysis, 2014 Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
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Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
wiley +1 more source
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
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Convergence Analysis for Linear Fredholm and Nonlinear Fredholm Hammerstein Integral Equations [PDF]
, 2022 In this article, we consider the linear Fredholm integral equations and Fredholm-Hammerstein’s integral equations. We propose the Legendre polynomial based degenerate kernel method to solve linear Fredholm and Fredholm-Hammerstein integral equations.
Kumar, Rakesh +2 more
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Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
Heart failure‐induced reprogramming of salt‐evoked neurovascular coupling in the rat hypothalamus
The Journal of Physiology, Volume 604, Issue 18, Page 7845-7868, 15 September 2026.Abstract figure legend In sham rat, hypertonic saline induces activation of the AVP neurons, leading to dendritic AVP release and subsequent V1aR‐mediated PA vasoconstriction resulting in local tissue hypoxia in the SON. In heart failure rat, hypertonic saline similarly induces activation of the AVP neuron leading to dendritic AVP release.
Ranjan K. Roy +4 more
wiley +1 more source
Solving nonlinear integral equations of Fredholm type with high order iterative methods [PDF]
, 2011 The application of high order iterative methods for solving nonlinear integral equations is not usual in mathematics. But, in this paper, we show that high order iterative methods can be used to solve a special case of nonlinear integral equations of ...
N. Romero +8 more
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Abstract and Applied Analysis, 2013 The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind.
Mohammad Almousa, Ahmad Ismail
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Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13361-13381, August 2026.ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
wiley +1 more source
Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method [PDF]
, 2008 We consider a class of boundary integral equations that arise in the study of strongly elliptic BVPs in unbounded domains of the form $D = \{(x, z)\in \mathbb{R}^{n+1} : x\in \mathbb{R}^n, z > f(x)\}$ where $f : \mathbb{R}^n \to\mathbb{R}$ is a ...
Chandler-Wilde, Simon Neil +3 more
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