Bifurcation conditions for the solutions of weakly perturbed boundary-value
problems for operator equations in Banach spaces
Authors
V. F. Zhuravlev
Abstract
We obtain bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in
Banach spaces from the point $\varepsilon = 0$. A convergent iterative procedure is proposed for the construction of solutions as parts
of series in powers of $\varepsilon$ with pole at the point $\varepsilon = 0$.