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A Volterra equation with square integrable solution [PDF]
Proceedings of the American Mathematical Society, 1980 We study the asymptotic behavior of the solutions of the nonlinear Volterra integrodifferential equation \[ x ′ ( t ) + ∫ 0 t a ( t − s ) g ( x ( s )
openaire +2 more sources
Biological Reviews, EarlyView.ABSTRACT Facilitative interspecific interactions (FIIs) confer benefits to at least one participant without detriment to others. Although often less emphasised than antagonistic interactions in ecological studies, this review highlights the significant ecological role of FIIs across biological scales – from individual behaviours to population ...
Eduardo Döbber Vontobel +5 more
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Moving Sum Procedure for Multiple Change Point Detection in Large Factor Models
Journal of Time Series Analysis, EarlyView.ABSTRACT This paper proposes a moving sum methodology for detecting multiple change points in high‐dimensional time series under a factor model, where changes are attributed to those in loadings as well as emergence or disappearance of factors. We establish the asymptotic null distribution of the proposed test for family‐wise error control and show the
Matteo Barigozzi +2 more
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Exponential asymptotic stability for linear volterra equations [PDF]
, 2000 This note studies the exponential asymptotic stability of the zero solution of the linear Volterra equation x˙ (t) = Ax(t) + t 0 K(t − s)x(s) ds by extending results in the paper of Murakami “Exponential Asymptotic Stability for scalar linear ...
Appleby, John A.D.
core
, 2012 In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L p (p > 1) with radius µ 0 and centered at the origin.
Anar Huseyin, Nesir Huseyin
semanticscholar +1 more source
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
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Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
REMATNumerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
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Applications of Normal S-Iterative Method to a Nonlinear Integral Equation
The Scientific World Journal, 2014 It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
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A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
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