Weakly perturbed operator equations in Banach spaces

• Datum: 2017
• Hauptverfasser: Zhuravlev, V. F., Журавлев, В. Ф.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1733
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 po...