Results 21 to 30 of about 3,512 (232)
A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations [PDF]
In this paper, an iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral ...
A. H. Borzabadi, M. Heidari
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A double inverse problem for Fredholm integro-differential equation of elliptic type
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Linear Fredholm Integral Equations and the Integral of Kurzweil [PDF]
Fredholm integral equations of the second kind of vector-valued functions (in Banach spaces) with Kurzweil or Henstock integrals are considered. A Fredholm alternative is proved and a corresponding `adjoint' equation is obtained. The results are applied for boundary value problems on intervals.
Federson, M., Bianconi, R.
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ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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Multivariate representations of univariate marked Hawkes processes
Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
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Ghost effect from Boltzmann theory
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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In this paper, numerical solution of the linear second kind Fredholm integral equations is studied. These integral equations are widely used for solving many problems in mathematical physics and engineering.
Mohamed Ramadan, Heba S. Osheba
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Fredholm-Choquet integral equations
The author considers the classical second-kind Fredholm integral equation, in which the Lebesgue-type integral \(\int\) is replaced by the more general Choquet integral \((\mathrm{c}) \int\) with respect to a monotone, submodular and continuous from below set function \(\mu: \mathcal{C}\rightarrow [0,+\infty]\), and studies the corresponding Fredholm ...
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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 +6 more
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