Minimal Branches of Solutions of Nonlinear Operator Equations in Banach Spaces

We consider the nonlinear equation B ( λ ) x = R ( x, λ ) + b ( λ ), where R (0 , 0) = 0, b (0) = 0, the linear operator B ( λ ) has a bounded inverse operator for S ∋ λ → 0, and S is an open set, 0 ∈ ∂S . We examine the existence of a small continuous solution of the maximal order of smallness x (...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024-03, Vol.279 (5), p.684-690
1. Verfasser:	Leontyev, R. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach spaces Linear operators Mathematics Mathematics and Statistics Nonlinear equations Operators (mathematics)
Online-Zugang:	Volltext
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