Abstract
AbstractWe study the eigenvalue problem for a superlinear convolution operator in the special case of bilinear constitutive laws and establish the existence and uniqueness of a one-parameter family of nonlinear eigenfunctions under a topological shape constraint. Our proof uses a nonlinear change of scalar parameters and applies Krein–Rutman arguments to a linear substitute problem. We also present numerical simulations and discuss the asymptotics of two limiting cases.
Funder
Technische Universität Braunschweig
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering,Modelling and Simulation
Cited by
1 articles.
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