Results 61 to 70 of about 148,162,886 (209)

NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND. [PDF]

open access: yes, 2020
Problems of physics, mechanics of theoretical and practical importance are solved by the method of integral equations. Mathematical physics uses integral equations to solve problems.
Rakhimov, I.D
core  

Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

open access: yesMathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
doaj   +1 more source

A Physical Phenomenon for the Fractional Nonlinear Mixed Integro-Differential Equation Using a General Discontinuous Kernel

open access: yesFractal and Fractional, 2023
In this study, a fractional nonlinear mixed integro-differential equation (Fr-NMIDE) is presented and has a general discontinuous kernel based on position and time space.
Sharifah E. Alhazmi, Mohamed A. Abdou
doaj   +1 more source

Optimal Portfolio Choice With Cross‐Impact Propagators

open access: yesMathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber   +2 more
wiley   +1 more source

The use of spline and singular functions in an integral equation method for conformal mapping [PDF]

open access: yes, 1980
We consider the integral equation method of Symm for the conformal mapping of simply-connected domains. For the numerical solution, we examine the use of spline functions of various degrees for the approximation of the source density o. In particular, we
Papamicheal, N, Hough, DM
core   +2 more sources

The Optimal Mean–Variance Selling Problem With Finite Horizon

open access: yesMathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson   +2 more
wiley   +1 more source

The existence and singularity of the solution to the special integrative equation of Volterra [PDF]

open access: yesمجلة التربية والعلم, 2006
In this paper ,we investigate the existence and uniquence solution for homogeneous volterra integral equation of the second kind by using the method which is given by athinson ,A.F. These investigation lead us to the extending of some results of manafov ,
Akram Mahmood, Raed Qariakos
doaj   +1 more source

Deep Material Networks Versus Reduced Order Models: A Comparative Study for Multiscale Component Simulations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Deep material networks (DMNs) and reduced order models (ROMs) represent two distinct paradigms for scale bridging in multiscale simulations. ROMs are data‐driven approaches that construct surrogate models for the governing partial differential equations of the microscale cell problem.
Pavan Bhat Keelanje Srinivas   +4 more
wiley   +1 more source

Optoacoustic inversion via convolution kernel reconstruction in the paraxial approximation and beyond

open access: yesPhotoacoustics, 2019
In this article we address the numeric inversion of optoacoustic signals to initial stress profiles. Therefore we study a Volterra integral equation of the second kind that describes the shape transformation of propagating stress waves in the paraxial ...
O. Melchert, M. Wollweber, B. Roth
doaj   +1 more source

A note on the stability of $\theta$-methods for Volterra integral equations of the second kind [PDF]

open access: yesCzechoslovak Mathematical Journal, 1984
The stability of \(\Theta\)-methods for the solution of Volterra integral equation of the type \[ y(t)=g(t)+\int^{t}_{0}K(t,s,y(s))ds,\quad t\geq 0 \] is studied by the use of the general linear test equation \(y(t)=g(t)+\lambda \int^{t}_{0}k(s)y(s)ds\), \(t\geq 0\), where \(Re(\lambda)
Jackiewicz, Zdzisław, Kwapisz, Marian
openaire   +2 more sources

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