Email this article Construction of Global Solutions of Partial Differential Equations with Deviating Arguments in the Time Variable
- Authors: Samoilenko A.M.1, Serheeva L.M.2
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Affiliations:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Chernivtsi National University
- Issue: Vol 212, No 4 (2016)
- Pages: 426-441
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237033
- DOI: https://doi.org/10.1007/s10958-015-2674-0
- ID: 237033
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Abstract
A class of partial differential equations with deviating arguments in the time variable is investigated. We establish conditions under which it is possible to construct global solutions of these equations and describe the structure of these solutions and the algorithm used for their construction. We also consider some special cases and examples and prove the theorems substantiating the proposed method.
About the authors
A. M. Samoilenko
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01601
L. M. Serheeva
Chernivtsi National University
Email: Jade.Santos@springer.com
Ukraine, Kotsyubyns’kyi Str., 2, Chernivtsi, 58012
