Results 51 to 60 of about 1,156,539 (216)
Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2016 We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
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مجلة بغداد للعلوم, 2012 This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro ...
Baghdad Science Journal
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Optimal Portfolio Choice With Cross‐Impact Propagators
Mathematical 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
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The Optimal Mean–Variance Selling Problem With Finite Horizon
Mathematical 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
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Cyclic behaviour of Volterra composition operators [PDF]
, 2011 We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin +5 more
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Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
Abstract and Applied Analysis, 2013 The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
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The Journal of Physiology, EarlyView.Abstract figure legend Acidosis depolarises parasympathetic respiratory motoneurones in the dorsal motor nucleus of the vagus (DMV) and increases their firing frequency by reducing TWIK‐2 channel conductance. Acidosis also activates astrocytes, which further enhance neuronal excitability through NMDA receptor‐dependent glutamatergic signalling.
Daniel P. de Souza +4 more
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Finite element approximation of Maxwell’s equations with Debye memory [PDF]
, 2010 Copyright © 2010 Simon Shaw. All rights reserved.This article has been made available through the Brunel Open Access Publishing Fund.Maxwell’s equations in a bounded Debye medium are formulated in terms of the standard partial differential equations of ...
Simon Shaw, Shaw, S
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Numerical Solution of Locally Loaded Volterra Integral Equations
ComputationLoaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin +3 more
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Proceedings 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
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