Results 91 to 100 of about 209,094 (283)
A third-order numerical method for solving fractional ordinary differential equations
AIMS MathematicsIn this paper, we developed a novel numerical method for solving general nonlinear fractional ordinary differential equations (FODEs). First, we transformed the nonlinear FODEs into the equivalent Volterra integral equations.
Xiaopeng Yi +4 more
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Alexandria Engineering Journal, 2013 A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
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Coexisting with large carnivores based on the Volterra principle
Conservation Biology, Volume 39, Issue 4, August 2025.Abstract Coexistence with large carnivores represents one of the world's highest profile conservation challenges. Ecologists have identified ecological benefits derived from large carnivores (and large herbivores), yet livestock depredation, perceived competition for shared game, risks to pets and humans, and social conflicts often lead to demands for ...
Mark S. Boyce +2 more
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Volterra-Choquet integral equations [PDF]
Journal of Integral Equations and Applications, 2019 We study the classical Volterra integral equation of the second kind on an interval, in which the Lebesgue type integral is replaced by the more general Choquet integral with respect to a monotone, submodular and continuous from below and from above set function, including the so-called distorted Lebesgue measures.
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Известия Иркутского государственного университета: Серия "Математика", 2016 The regularization method of linear integral Volterra equations of the first kind is considered. The method is based on the perturbation theory. In order to derive the estimates of approximate solutions and regularizing operator norms we use the Banach ...
I. Muftahov, D. Sidorov, N. Sidorov
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Stability Issues for Selected Stochastic Evolutionary Problems: A Review
Axioms, 2018 We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone +3 more
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Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali +2 more
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Linear quadratic control problems of stochastic Volterra integral equations
E S A I M: Control, Optimisation and Calculus of Variations, 2018 This paper is concerned with linear quadratic control problems of stochastic differential equations (SDEs, in short) and stochastic Volterra integral equations (SVIEs, in short).
Tianxiao Wang
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ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION
Demonstratio Mathematica, 1984 The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
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Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky +3 more
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