Email this article Weakly Nonlinear Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernels in Banach Spaces
- Authors: Zhuravlev V.F.1
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Affiliations:
- Zhytomyr National Agricultural-Ecological University Staryi
- Issue: Vol 243, No 3 (2019)
- Pages: 409-420
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243102
- DOI: https://doi.org/10.1007/s10958-019-04547-9
- ID: 243102
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Abstract
We consider weakly nonlinear boundary-value problems for the Fredholm integral equations with degenerate kernel in Banach spaces, establish necessary and sufficient conditions for the existence of solutions of these problems, and construct convergent iterative procedures for the determination of solutions of these boundary-value problems.
About the authors
V. F. Zhuravlev
Zhytomyr National Agricultural-Ecological University Staryi
Author for correspondence.
Email: vfz2008@ukr.net
Ukraine, Blvd, 7, Zhytomyr, 10008
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