Bifurcation

Klaus Deimling
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Klaus Deimling: Gesamthochschule Paderborn

Chapter Chapter 10 in Nonlinear Functional Analysis, 1985, pp 378-425 from Springer

Abstract: Abstract In this last chapter we shall indicate how degree theory, implicit function theorems and variational methods can be used in the study of the solution set S of an equation F(λ, x) = 0, where the splitting of the independent variable into λ ∈ Λ and x ∈X is motivated by concrete models in which the λ are considered as parameters. The latter means that the λ ∈ Λ are those independent variables, say of technical significance, which the practical man wants to manipulate. So, he is interested in the slices S(λ) = {x ∈ X:(λ, x)∈S} and especially in the parameters λ0 at which the S(λ) change their structure.

Keywords: Periodic Solution; Bifurcation Point; Implicit Function Theorem; Real Banach Space; Bifurcation Theory (search for similar items in EconPapers)
Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-00547-7_10

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DOI: 10.1007/978-3-662-00547-7_10

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