We establish necessary and sufficient conditions for the existence of solutions of linear and nonlinear boundary-value problems in Hilbert and Banach spaces and present a convergent iterative procedure for finding the solutions in the nonlinear case.
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Published in Neliniini Kolyvannya, Vol. 24, No. 3, pp. 329–341, July–September, 2021.
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Iskra, O.Z., Pokutnyi, O.O. Boundary-Value Problems for the System of Operator-Differential Equations in Banach and Hilbert Spaces. J Math Sci 272, 228–235 (2023). https://doi.org/10.1007/s10958-023-06412-2
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DOI: https://doi.org/10.1007/s10958-023-06412-2