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- Title
Weakly Perturbed Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernel in Banach Spaces.
- Authors
Zhuravlev, V. F.; Fomin, N. P.
- Abstract
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 ∑ i = − 1 + ∞ ε i z i t in powers of ε.
- Subjects
FREDHOLM equations; INTEGRAL equations; BANACH spaces
- Publication
Journal of Mathematical Sciences, 2019, Vol 238, Issue 3, p248
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-019-04233-w