2019
Том 71
№ 11

# Bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces

Zhuravlev V. F.

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 $\varepsilon = 0$.

Citation Example: Zhuravlev V. F. Bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces // Ukr. Mat. Zh. - 2018. - 70, № 3. - pp. 366-378.