Weakly Perturbed Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernel in Banach Spaces
- Авторы: Zhuravlev V.1, Fomin N.1
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Учреждения:
- Zhytomyr National Agricultural-Economical University
- Выпуск: Том 238, № 3 (2019)
- Страницы: 248-262
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242513
- DOI: https://doi.org/10.1007/s10958-019-04233-w
- ID: 242513
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Аннотация
We consider weakly perturbed boundary-value problems for the Fredholm integral equations with degenerate kernel in Banach spaces and establish the conditions of bifurcation from the point ε = 0 for the solutions of weakly perturbed boundary-value problems for Fredholm integral equations with degenerate kernel in Banach spaces. A convergent iterative procedure is proposed for finding the solutions in the form of series \( {\sum}_{i=-1}^{+\infty }{\varepsilon}^i{z}_i(t) \) in powers of ε.
Об авторах
V. Zhuravlev
Zhytomyr National Agricultural-Economical University
Автор, ответственный за переписку.
Email: vfz2008@ukr.net
Украина, Staryi Avenue, 7, Zhytomyr, 10008
N. Fomin
Zhytomyr National Agricultural-Economical University
Email: vfz2008@ukr.net
Украина, Staryi Avenue, 7, Zhytomyr, 10008