We establish a criterion for the existence of solutions of linear inhomogeneous boundary-value problems in a Banach space. We obtain conditions for the normal solvability of such problems and consider their special cases, namely, countable-dimensional boundary-value problems.
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Translated from Neliniini Kolyvannya, Vol. 12, No. 1, pp. 3–15, January–March, 2009.
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Boichuk, O.A., Panasenko, E. Boundary-value problems for differential equations in a Banach space. Nonlinear Oscill 12, 15–18 (2009). https://doi.org/10.1007/s11072-009-0055-7
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DOI: https://doi.org/10.1007/s11072-009-0055-7