Results 61 to 70 of about 7,526 (199)
Solutions for singular Volterra integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Summary: We consider the system of Volterra integral equations \[ \begin{multlined} u_i(t) =\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\dots,u_n(s))+ \\ + Q_i(s,u_1(s),u_2(s),\dots,u_n(s))]ds,\quad t\in [0,T],\;1\leq i\leq n \end{multlined} \] where \(T>0\) is fixed and the nonlinearities \(P_i(t,u_1,u_2,\dots,u_n)\) can be singular at \(t=0\) and \(u_j ...
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
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Advances in Mathematical Physics, 2022 The goal of this paper is study the mixed integral equation with singular kernel in two-dimensional adding to the time in the Volterra integral term numerically.
A. M. Al-Bugami
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Advanced Photonics Research, Volume 7, Issue 3, March 2026.This article proposes a deep learning (DL) approach for modeling and optimizing frequency‐doubled radio‐over‐fiber links. By collectively replacing traditional components with DL model, accurate system evaluation is achieved. Moreover, through an end‐to‐end architecture, performance optimization is accomplished.
Difei Shi +3 more
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Noûs, Volume 60, Issue 1, Page 136-160, March 2026.Abstract It is well‐recognized in the sciences that a multitude of nonequivalent models are used by researchers to fulfill a range of goals, even for the same target system, a result known broadly as model pluralism. The possibility of the same form of pluralism occurring in logic, however, has not been adequately considered.
Ben Martin
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Mixed type of Fredholm-Volterra integral equation
Le Matematiche, 2005 In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (−1, 1) × C[0, T ], T < ∞.
M. A. Abdou, G. M. Abd Al-Kader
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Triangular functions in solving Weakly Singular Volterra integral equations
Advances in the Theory of Nonlinear Analysis and its Application, 2023 In this paper, we propose the triangular orthogonal functions as a basis functions for solution of weakly singular Volterra integral equations of the second kind. Powerful properties of these functions and some operational matrices are utilized in a direct method to reduce singular integral equation to some algebraic equations. The presented method
Monireh NOSRATİ, Hojjat AFSHARİ
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On goodness‐of‐fit testing for self‐exciting point processes
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 102-139, March 2026.Abstract Despite the wide usage of parametric point processes in theory and applications, a sound goodness‐of‐fit procedure to test whether a given parametric model is appropriate for data coming from a self‐exciting point process has been missing in the literature.
José Carlos Fontanesi Kling +1 more
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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
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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 +5 more
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