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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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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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Some problems in nonlinear Volterra integral equations [PDF]
, 1962 John A. Nohel
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Asymptotic analysis of a volterra integral equation
Applied Mathematics Letters, 1988 A Volterra integral equation of the form \(u(t)=\epsilon \int^{t}_{0}[\pi (t-s)]^{-1/2}F(u(s),s)ds\) is considered where \(F(0,t)\sim c_ 0t^{-r_ 0}\) and \(F_ u(0,t)\sim -c_ 1t^{-r_ 1}\) as \(t\to +\infty\) and \(r_ ...
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Error bounds for an approximate solution to the Volterra integral equation [PDF]
, 1960 John Hilzman
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$A$-stable methods of high order for Volterra integral equations [PDF]
, 1975 Ľubor Malina
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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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The Problem of Eigenvalues in Some Singular Homogeneous Volterra Integral Equations [PDF]
, 1974 Ll. G. Chambers
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Existence and stability of a class of nonlinear Volterra integral equations [PDF]
, 1970 Stanley I. Grossman
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