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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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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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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Equivalence of Volterra integral equations [PDF]
Časopis pro pěstování matematiky, 1986 The equivalence of two integral (integrodifferential) equations is investigated, one being a standard linear Volterra integral equation and the other its perturbation by a nonlinear integral term involving a multifunction.
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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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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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Generalized Volterra integral equations [PDF]
Czechoslovak Mathematical Journal, 1982 This work develops the basic theory for the generalized Volterra equation \[ x(t)=f(t)+\int^{t}_{0}K(t,ds,x(s)),\quad 0\leq ...
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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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Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
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Nonconvolution nonlinear integral Volterra equations with monotone operators
, 2010 Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper.
Arias +15 more
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