Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations

Dulat S. Dzhumabaev, E. А. Bakirova

2013

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DOI 10.1134/s0012266113090048
Data confidence 70 medium
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Abstract

For a linear boundary value problem for a Fredholm integro-differential equation, we obtain necessary and sufficient conditions for the unique solvability in terms of a matrix Q ν (h) formed on the basis of the matrices of boundary conditions, the differential part, the integral term, and a partition with increment h > 0 of the interval on which the problem is defined.