Results 71 to 80 of about 3,163,886 (311)
Nonlinear Volterra Integrodifferential Equations
Journal of Mathematical Analysis and Applications, 1994 This is a continuation of the authors' earlier paper [J. Math. Anal. Appl. 139, No. 1, 78-109 (1989; Zbl 0681.45010)]. Consider the semilinear Volterra integro-differential equation \[ u'(t) + Au(t) = \int^ t_ 0 a(t,s)g \bigl( s,u(s) \bigr) ds + f \bigl( t,u(t) \bigr), \quad t > 0, \] with \(u(0) = u_ 0\), where \(-A\) generates an analytic semigroup ...
Heard, M.L., Rankin, S.M.
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Stochastic Volterra integral equations and a class of first-order stochastic partial differential equations [PDF]
Stochastics, 2019 We investigate stochastic Volterra equations and their limiting laws. The stochastic Volterra equations we consider are driven by a Hilbert space valued Lévy noise and integration kernels may have non-linear dependence on the current state of the process.
F. Benth, Nils Detering, Paul Krühner
semanticscholar +1 more source
A practical guide to characterising ecological coexistence
Biological Reviews, EarlyView.ABSTRACT Coexistence is simultaneously one of the most fundamental concepts of ecology, and one of the most difficult to define. A particular challenge is that, despite a well‐developed body of research, several different schools of thought have developed over the past century, leading to multiple independent, and largely isolated, branches of ...
Adam T. Clark +9 more
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AIMS MathematicsPicard's three step iteration algorithm was one of the iteration algorithms that was recently shown to be faster than some other iterative algorithms in the existing literature.
Lale Cona
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Mathematical 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
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Stochastic Volterra equations driven by cylindrical Wiener process
, 2007 In this paper, stochastic Volterra equations driven by cylindrical Wiener process in Hilbert space are investigated. Sufficient conditions for existence of strong solutions are given.
Karczewska, Anna, Lizama, Carlos
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A complex network perspective on brain disease
Biological Reviews, EarlyView.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
wiley +1 more source
Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations
Discrete Dynamics in Nature and Society, 2018 We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences.
E. Messina, A. Vecchio
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An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
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Numerical Solutions of ODEs using Volterra Series [PDF]
, 2006 We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the ...
Kirov, Nikolay, Krastanov, Michail
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