Continuous Dependence on Translations of the Independent Variable for Solutions of Boundary-Value Problems for Differential-Difference Equations
- Authors: Ivanova E.P.1,2
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Affiliations:
- RUDN University
- Moscow Aviation Institute (National Research University)
- Issue: Vol 233, No 6 (2018)
- Pages: 828-852
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241710
- DOI: https://doi.org/10.1007/s10958-018-3969-8
- ID: 241710
Cite item
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.
About the authors
E. P. Ivanova
RUDN University; Moscow Aviation Institute (National Research University)
Author for correspondence.
Email: elpaliv@yandex.ru
Russian Federation, Moscow; Moscow