On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition
Assanova A.T.
1 February 2021De Gruyter Open Ltd
Georgian Mathematical Journal
2021#28Issue 149 - 57 pp.
Sufficient conditions for the existence and uniqueness of a classical solution to a nonlocal problem for a system of Sobolev-type differential equations with integral condition are established. By introducing a new unknown function, we reduce the considered problem to an equivalent problem consisting of a nonlocal problem for the system of hyperbolic equations of second order with a functional parameter and an integral relation. We propose the algorithm for finding an approximate solution to the investigated problem and prove its convergence.
algorithm , integral condition , nonlocal problem , System of Sobolev-type equations , unique solvability
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Institute of Mathematics and Mathematical Modeling, Pushkin Str. 25, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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