Results 71 to 80 of about 576 (215)

A complex network perspective on brain disease

Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley   +1 more source

Toeplitz Matrix Method and Volterra-Hammerstien Integral Equation with a Generalized Singular Kernel

, 2013
In this work, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (V-HIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while the Fredholm integral term (FIT ...
Al-Bugami, A. M.
core   +1 more source

Galerkin Approximation for Stochastic Volterra Integral Equations with Doubly Singular Kernels

, 2022
This paper is concerned with the more general nonlinear stochastic Volterra integral equations with doubly singular kernels, whose singular points include both s=t and s=0.
Wanqing Song, Yanan Jiang, Aleksey Kudreyko, Yuyuan Li   +3 more
core   +1 more source

Quasilinearization-Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
doaj   +1 more source

Itô Differential Representation of Singular Stochastic Volterra Integral Equations

Acta Mathematica Scientia, 2020
In this paper we obtain an Itô differential representation for a class of singular stochastic Volterra integral equations. As an application, we investigate the rate of convergence in the small time central limit theorem for the solution.
openaire   +2 more sources

An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 304-320, 15 January 2026.
ABSTRACT This paper considers an inverse heat source localization problem with applications to indoor person localization from temperature measurements. In particular, this inverse problem consists in the reconstruction of the intensity and position of heat sources from observed temperature data.
Simonetta Boria, Nadaniela Egidi, Lorella Fatone, Josephin Giacomini, Pierluigi Maponi, Riccardo Piombin   +5 more
wiley   +1 more source

On solving a singular Volterra integral equation

Filomat
In the paper, a general solution of the singular Volterra integral equation of the second kind is found. The feature of the considered integral equation lies in the fact that the integral of its kernel does not tend to zero as the upper limit approaches the lower one, thus making the Picard method inapplicable.
Murat Ramazanov, Nurtay Kudaybergenovich Gulmanov, Madi Tulegenovich Omarov   +2 more
openaire   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj   +1 more source

A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels [PDF]

SIAM Journal on Numerical Analysis, 2003
This paper presents a new hybrid collocation method for solving certain second kind Volterra integral equations with singular kernels. The solution of the equation has a singularity, caused by the singularity in the kernel, and this presents particular challenges for numerical schemes.
Cao, Y. Z., Herdman, Terry L., Xu, Y. H.
openaire   +2 more sources