Geodesic
On generalized solutions of the second boundary-value problem for differential-difference equations with variable coefficients
Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 576-595

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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 $(0, d)$. 
@article{CMFD_2021_67_3_a11,
     author = {A. L. Skubachevskii and N. O. Ivanov},
     title = {On generalized solutions of the second boundary-value problem for differential-difference equations with variable coefficients},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {576--595},
     publisher = {mathdoc},
     volume = {67},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a11/}
}
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A. L. Skubachevskii; N. O. Ivanov. On generalized solutions of the second boundary-value problem for differential-difference equations with variable coefficients. Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 576-595. http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a11/