The Hyers-Ulam stability for nonlinear Volterra integral equations via a generalized Diaz-Margolis's fixed point theorem [PDF]
arXiv, 2015 In this work, we prove an existence theorem of the Hyers-Ulam stability for the nonlinear Volterra integral equations which improves and generalizes Castro-Ramos theorem by using some weak conditions.
arxiv
The Control Problem for a Heat Conduction Equation with Neumann Boundary Condition
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiPreviously, boundary control problems for a heat conduction equation with Dirichlet boundary condition were studied in a bounded domain. In this paper, we consider the boundary control problem for the heat conduction equation with Neumann boundary ...
Dekhkonov, F.N.
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Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]
PLoS One, 2023 Wu Q, Sun M.
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Error bounds for an approximate solution to the Volterra integral equation [PDF]
, 1960 John Hilzman
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Optimal control of Goursat-Volterra systems [PDF]
arXiv, 2007 We analyze an optimal control problem for systems of integral equations of Volterra type with two independent variables. These systems generalize both, the hyperbolic control problems for systems of Goursat-Darboux type, and the optimal control of ordinary (i.e. with one independent variable) Volterra integral equations.
arxiv
Canonical forms of certain Volterra integral operators and a method of solving the commutator equations which involve them [PDF]
, 1967 Stanley Osher
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The approximate solution of Volterra integral equations
Journal of Approximation Theory, 1975 AbstractHuffstutler and Stein and recently Bacopoulos and Kartsatos have dealt with the problem of best approximation by polynomials of the solutions of nonlinear differential equations. The purpose of the present paper is to generalize their results and to show that they can be established under a weaker set of conditions.
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A starting method for solving nonlinear Volterra integral equations [PDF]
, 1967 J. T. Day
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Asymptotic behavior and nonoscillation of Volterra integral equations and functional differential equations [PDF]
, 1975 A. F. Izé, A. A. Freiria
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The article considers a homogeneous boundary - value problem for the heat equation in the non - cylindrical domain, namely, in an inverted pyramid with a vertex at the origin of coordinates, two faces of which lie in coordinate planes.A solution to the ...
M.T. Kosmakova +4 more
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