Email this article Bifurcation of Solutions of the Boundary-Value Problem for Systems of Integrodifferential Equations with Degenerate Kernel
- Authors: Bondar I.A.1, Ovchar R.F.2
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Affiliations:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Ukrainian National University of Biological Resources and Nature Management
- Issue: Vol 238, No 3 (2019)
- Pages: 224-235
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242509
- DOI: https://doi.org/10.1007/s10958-019-04231-y
- ID: 242509
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Abstract
We establish sufficient conditions for the existence of solutions of a weakly perturbed linear boundary-value problems for a system of integrodifferential equations. We also establish conditions for the existence and uniqueness of solutions of problems of this kind and propose an iterative procedure for the construction of the required solutions.
About the authors
I. A. Bondar
Institute of Mathematics, Ukrainian National Academy of Sciences
Author for correspondence.
Email: holovatska.iv@gmail.com
Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01004
R. F. Ovchar
Ukrainian National University of Biological Resources and Nature Management
Email: holovatska.iv@gmail.com
Ukraine, Heroiv Oborony Str., 15, Kyiv, 03041
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