APPLICATIONS AND DEVELOPMENT OF A NEW VOLTERRA SCHEME FOR SOLVING NONLINEAR INTEGRAL EQUATIONS [PDF]
Matrix Science MathematicVolterra integral equations (VIEs) are extensively utilized across scientific, technological and engineeringdisciplines for modeling systems influenced by past behaviors or interactions.
Ishaq A.A. +3 more
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Affine Volterra processes [PDF]
, 2019 We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are neither semimartingales, nor ...
Jaber, Eduardo Abi +2 more
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Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels
Abstract and Applied Analysis, 2012 Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well.
Ezzat R. Hassan
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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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An optimal control problem of forward-backward stochastic Volterra integral equations with state constraints [PDF]
, 2013 This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints.
Wei, Qingmeng, Xiao, Xinling
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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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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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On the Volterra property of a boundary problem with integral gluing condition for mixed parabolic-hyperbolic equation [PDF]
, 2013 In the present work we consider a boundary value problem with gluing conditions of integral form for parabolic-hyperbolic type equation. We prove that the considered problem has the Volterra property.
Akhtaeva, N. S. +3 more
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