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

• Date: 2018
• Main Authors: Zhuravlev, V. F., Журавлев, В. Ф.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1562
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...