Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations

We study a two-point boundary value problem for a linear differential-algebraic equation with constant coefficients by using the method of parameterization. The parameter is set as the value of the continuously differentiable component of the solution at the left endpoint of the interval. Applying the Weierstrass canonical form to the matrix pair associated with the differential-algebraic equation, we obtain a criterion for the unique solvability of the problem.

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To a Unique Solvability of a Problem with Integral Condition for Integro-Differential Equation

Abildayeva

Kaparova

Assanova

2021

Lobachevskii J Math

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Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations

Cited by 9 publications

References 7 publications

A Two-Point Boundary Value Problem for a Fourth Order Partial Integro-Differential Equation

A Two-Point Boundary Value Problem for a Fourth Order Partial Integro-Differential Equation

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

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