2018
Том 70
№ 9

# Weakly perturbed operator equations in Banach spaces

Zhuravlev V. F.

Abstract

We obtain the conditions of bifurcation of the solutions of weakly perturbed operator equations in Banach spaces from the point $\varepsilon = 0$ and propose a convergent iterative procedure for finding the solutions in the form of parts of the series in powers of $\varepsilon$ with pole at the point $\varepsilon = 0$.

Citation Example: Zhuravlev V. F. Weakly perturbed operator equations in Banach spaces // Ukr. Mat. Zh. - 2017. - 69, № 6. - pp. 751-764.