Differential-difference equations with incommensurable shifts of arguments
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 92-100

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Boundary-value problems for differential-difference equations with perturbations in shifts of arguments are considered. Necessary and sufficient conditions for the fulfillment of Gårding-type inequalities in algebraic form are obtained. Continuous dependence of solutions of these problems on shifts of arguments is examined.
Keywords: boundary-value problem, differential-difference equation, strong ellipticity, Gårding inequality.
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     author = {E. P. Ivanova},
     title = {Differential-difference equations with incommensurable shifts of arguments},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {92--100},
     publisher = {mathdoc},
     volume = {191},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_191_a7/}
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E. P. Ivanova. Differential-difference equations with incommensurable shifts of arguments. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 92-100. http://geodesic.mathdoc.fr/item/INTO_2021_191_a7/