Results 21 to 30 of about 208,946 (296)
Journal of Applied Mathematics and Physics, 2020 In this paper, the existence and uniqueness of the solution of Fredholm-Volterra integral equation is considered (NF-VIE) with continuous kernel; then we used a numerical method to reduce this type of equations to a system of nonlinear Volterra integral ...
A. M. Al-Bugami, J. Al-Juaid
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Cascade-Forward Neural Network for Volterra Integral Equation Solution
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 The method of solving volterra integral equation by using numerical solution is a simple operation but to require many memory space to compute and save the operation.
Shymaa Akram Hantoush Alrubaie
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Causal state feedback representation for linear quadratic optimal control problems of singular Volterra integral equations [PDF]
Mathematical Control and Related Fields, 2021 This paper is concerned with a linear quadratic optimal control for a class of singular Volterra integral equations. Our framework covers the problems for fractional differential equations.
Shuo Han, Ping-Zong Lin, J. Yong
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Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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Sawi Decomposition Method for Volterra Integral Equation with Application
, 2020 In this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application.
M. Higazy, Sudhanshu Aggarwal, T. Nofal
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Infinite horizon backward stochastic Volterra integral equations and discounted control problems [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2021 Infinite horizon backward stochastic Volterra integral equations (BSVIEs for short) are investigated. We prove the existence and uniqueness of the adapted M-solution in a weighted L2space.
Yushi Hamaguchi
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On a perturbed Volterra integral equation
Journal of Mathematical Analysis and Applications, 1970 AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the resolvent kernel of a(t, s) is sufficiently well-behaved, and if ¦g(t, x)¦ → 0 as t → ∞ in some sense, then ¦x(t) − y(t)¦ → 0 as t → ∞, where y(t) is the solution of y(t) = f(t) − ∝0t a(t, s) y(s) ds.
Aaron Strauss, Aaron Strauss
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On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay [PDF]
Applied Mathematics and Optimization, 2021 In this paper, we prove both necessary and sufficient maximum principles for infinite horizon discounted control problems of stochastic Volterra integral equations with finite delay and a convex control domain.
Yushi Hamaguchi
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Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 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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