Geodesic
Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients on Intervals of Noninteger Length
Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 873-886

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with the second boundary-value problem for a second-order differential-difference equation with variable coefficients on the interval $(0,d)$ as well as with the question of conditions on the right-hand side of the equation that ensure the smoothness of the generalized solutions of the boundary-value problem on the whole interval $(0,d)$ for $d \notin \mathbb{N}$.
Keywords: differential-difference equations, generalized solutions, boundary-value problem. 
@article{MZM_2022_111_6_a6,
     author = {A. L. Skubachevskii and N. O. Ivanov},
     title = {Generalized {Solutions} of the {Second} {Boundary-Value} {Problem} for {Differential-Difference} {Equations} with {Variable} {Coefficients} on {Intervals} of {Noninteger} {Length}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {873--886},
     publisher = {mathdoc},
     volume = {111},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a6/}
}
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A. L. Skubachevskii; N. O. Ivanov. Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients on Intervals of Noninteger Length. Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 873-886. http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a6/