A computational method for solving a problem with parameter for linear systems of integro-differential equations

DOI10.1007/S40314-020-01298-1zbMath1476.65333OpenAlexW3049579079MaRDI QIDQ2204179

Zhazira M. Kadirbayeva, Roza E. Uteshova, Anar T. Assanova, É. A. Bakirova

Publication date: 15 October 2020

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

Full work available at URL: https://doi.org/10.1007/s40314-020-01298-1

zbMATH Keywords

algorithmsystem of integro-differential equationscomputational methodsolvability criteriaproblem with parameter

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Boundary value problems for functional-differential equations (34K10)

Related Items (6)

A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Two-point boundary value problem for Volterra-Fredholm integro-differential equations and its numerical analysis ⋮ Method of exact difference schemes for the numerical solution of parameterized singularly perturbed problem ⋮ 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

Cites Work

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• Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations
• Projection method for the solution of integro-differential equations with restrictions and control
• Modified projection-iterative method for weakly nonlinear integrodifferential equations with parameters
• Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential
• On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
• Global practical output tracking of inherently nonlinear systems using continuously differentiable controllers
• ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses
• Numerical methods for ordinary differential equations in the 20th century
• Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus
• Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
• Boundary-value problems with initial jumps for singularly perturbed integrodifferential equations
• Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations
• The initial jumps of solutions and integral terms in singular BVP of linear higher order integro-differential equations
• A method for solving the linear boundary value problem for an integro-differential equation
• Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
• Numerical-Analytic Methods in the Theory of Boundary-Value Problems
• 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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