Numerical solution to a control problem for integro-differential equations

DOI10.1134/S0965542520020049zbMath1453.65445OpenAlexW3016686316MaRDI QIDQ2206480

Yanyan Li

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520020049

zbMATH Keywords

integro-differential equationnumerical solutioncontrol problem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Control problems for functional-differential equations (34K35) Linear boundary value problems for ordinary differential equations (34B05) Discrete approximations in optimal control (49M25)

Related Items (17)

A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Asymptotics of the solution of bisingularly perturbed first boundary value problem ⋮ A nonlocal boundary value problem with the Frankl condition for an equation of mixed parabolic-hyperbolic type with the fractional Gerasimov-Caputo operator ⋮ To the solution of integro-differential equations with nonlocal conditions ⋮ Unnamed Item ⋮ On a solution of a nonlinear nonlocal boundary value problem for one class of hyperbolic equation ⋮ Controllability conditions for Fredholm integrodifferential equations with degenerate kernel in Banach spaces ⋮ Two-point boundary value problem for Volterra-Fredholm integro-differential equations and its numerical analysis ⋮ Stochastic maximum principle for moving average control system ⋮ Method of exact difference schemes for the numerical solution of parameterized singularly perturbed problem ⋮ NONLOCAL PROBLEM FOR A SECOND ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATION WITH DEGENERATE KERNEL AND REAL PARAMETERS ⋮ A two-point boundary value problem for a fourth order partial integro-differential equation ⋮ An existence of an isolated solution to nonlinear two-point boundary value problem with parameter ⋮ On the unique solvability of a family of boundary value problems for integro-differential equations of mixed type ⋮ To a unique solvability of a problem with integral condition for integro-differential equation ⋮ On the unique solvability of a boundary value problem for systems of loaded integro-differential equations with involution ⋮ A PROBLEM WITH PARAMETER FOR THE INTEGRO-DIFFERENTIAL EQUATIONS

Cites Work

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• Computational methods of solving the boundary value problems for the loaded differential and Fredholm integro‐differential equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation
• The control of boundary value problems for quasilinear impulsive integro-differential equations

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