Geodesic
Continuous dependence of solutions of boundary-value problems for differential-difference equations on shifts of the argument
Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, Tome 59 (2016), pp. 74-96

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We consider boundary-value problems for differential-difference operators with perturbations in shifts of the argument. We prove that the family of differential-difference operators is positive definite uniformly with respect to the shifts of the argument. Solutions of such problems depend continuously on these shifts. We consider the coercivity problem for differential-difference operators with incommensurable shifts of the argument and study the approximation of such operators by rational operators. 
@article{CMFD_2016_59_a3,
     author = {E. P. Ivanova},
     title = {Continuous dependence of solutions of boundary-value problems for differential-difference equations on shifts of the argument},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {74--96},
     publisher = {mathdoc},
     volume = {59},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2016_59_a3/}
}
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E. P. Ivanova. Continuous dependence of solutions of boundary-value problems for differential-difference equations on shifts of the argument. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, Tome 59 (2016), pp. 74-96. http://geodesic.mathdoc.fr/item/CMFD_2016_59_a3/