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Journal of Mathematical Sciences

, Volume 233, Issue 6, pp 828–852 | Cite as

Continuous Dependence on Translations of the Independent Variable for Solutions of Boundary-Value Problems for Differential-Difference Equations

  • E. P. Ivanova
Article
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Abstract

We consider boundary-value problems for differential-difference operators with perturbations in translations of the independent variable. We prove that the family of differential-difference operators is positive definite uniformly with respect to translations of the independent variable. Solutions of such problems depend continuously on these translations. We consider the coercivity problem for differential-difference operators with incommensurable translations of the independent variable and study the approximation of such operators by rational operators.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.RUDN UniversityMoscowRussia
  2. 2.Moscow Aviation Institute (National Research University)MoscowRussia

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