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Weakly Perturbed Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernel in Banach Spaces

  • V. F. ZhuravlevEmail author
  • N. P. Fomin
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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.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Zhytomyr National Agricultural-Economical UniversityZhytomyrUkraine

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