Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Fractional Volterra integral equations: a neural network approach
, 2022 Fractional calculus has recently gained increasing interest in the economic and financial literature. As for economic models, economic growth has been modeled using a state space representation of fractional derivatives. These kinds of equations do not
Marisa Cenci +3 more
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Almost sure subexponential decay rates of scalar Ito-Volterra equations. [PDF]
, 2004 The paper studies the subexponential convergence of solutions of scalar Itˆo-Volterra equations. First, we consider linear equations with an instantaneous multiplicative noise term with intensity .
Appleby, John A.D.
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Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
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MODIFIED QUASI SIMPS0N 'S 3/8 RULE FOR SOLVING SYSTEM OF INTEGRAL EQUATION OF THE SECOND KIND LINEAR [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 Actually, it is possible to solve systems of integral equation by using many approaches. However, in this study, the modified quasi Simpson's 3/8 rule used to find the numerical solution of a system of linear Volterra integral equations of the second ...
Mohammed Yosuf Turki
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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Volterra-Stieltjes integral equations and impulsive Volterra-Stieltjes integral equations [PDF]
, 2021 In this paper, we prove existence and uniqueness of solutions of Volterra– Stieltjes integral equations using the Henstock–Kurzweil integral. Also, we prove that these equations encompass impulsive Volterra–Stieltjes integral equations and prove the ...
Lizama Carlos +3 more
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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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