Abstract
We consider the second boundary-value problem for a second-order differential-difference equation with variable coefficients on the interval (0, d). We investigate the existence of a generalized solution and obtain conditions on the right-hand side of the equation which ensure the smoothness of generalized solutions on the entire interval (0, d).
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 3, In honor of the 70th anniversary of Professor V. M. Filippov, 2021.
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Skubachevskii, A.L., Ivanov, N.O. On Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients. J Math Sci 278, 354–372 (2024). https://doi.org/10.1007/s10958-024-06925-4
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DOI: https://doi.org/10.1007/s10958-024-06925-4