- PII
- S30345030S0374064125070024-1
- DOI
- 10.7868/S3034503025070024
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 61 / Issue number 7
- Pages
- 882-891
- Abstract
- The Cauchy problem is considered for a system of two first-order integro-differential equations with memory in finite-dimensional Hilbert spaces, where the integral term contains a difference kernel. Such mathematical model is typical for nonstationary electromagnetic processes, taking into account the dispersion effects of the electric field. To obtain an approximate solution to the considered nonlocal problem, a transformation to a local Cauchy problem for a system of first-order equations is applied, based on approximating the difference kernel by a sum of exponentials. Two-level operator-difference schemes in Hilbert spaces are constructed and analyzed for stability.
- Keywords
- интегро-дифференциальное уравнение система эволюционных уравнений первого порядка двухслойная схема устойчивость
- Date of publication
- 07.12.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 30
References
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