TY - JOUR AU - V. F. Zhuravlev PY - 2018/03/25 Y2 - 2024/03/29 TI - Bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 70 IS - 3 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1562 AB - We obtain bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations inBanach spaces from the point $\varepsilon = 0$. A convergent iterative procedure is proposed for the construction of solutions as partsof series in powers of $\varepsilon$ with pole at the point $\varepsilon = 0$. ER -