Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations (Q317365)
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scientific article; zbMATH DE number 6631684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations |
scientific article; zbMATH DE number 6631684 |
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Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations (English)
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30 September 2016
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Consider a linear two-point boundary-value problem (BVP) of the form \[ ((dx)/(dt))=A(t)x+\int_\theta^{T}K(t,s)x(s)ds+f(t),\quad x\in\mathbb R^n,\quad t\in(0,T) Bx(0)+Cx(T)=d,\quad d\in\mathbb R^n. \] Necessary and sufficient conditions for the solvability of the above BVP are established and the algorithms for finding the solutions are constructed. An example illustrating the results is given.
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Fredholm integro-differential equations
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linear two-point boundary value problem
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algorithm
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