A Solution to a Boundary-Value Problem for Integro-Differential Equations with Weakly Singular Kernels
Assanova A.T. Nurmukanbet S.N.
November 2021Pleiades journals
Russian Mathematics
2021#65Issue 11
A linear boundary-value problem for a system of integro-differential equations with weakly singular kernels is considered. Questions of the unique solvability and the construction of algorithms for finding solution to the considered problem are studied. Conditions for the solvability of the boundary-value problem for a system of integro-differential equations with weakly singular kernels are established using the Dzhumabaev parametrization method based onsplitting the interval and introducing additional parameters. Necessary and sufficient conditions for the solvability of the two-point problem for integro-differential equations with weakly singular kernels are obtained.
Dzhumabaev parameterization method , integro-differential equation , kernel with weak singularity , linear boundary value problem , solvability
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Institute of Mathematics and Mathematical Modeling
al-Farabi Kazakh National University
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