SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS

Consider the following simple, but typical, example of a non-linear equilibrium (differential equation) problem:. Δu = -λf(u) for (x, y) j{cyrillic, ukrainian} D,u = 0 for (x, y) j{cyrillic, ukrainian} D.Usually the eigenvalues of the (small u) linearized problem are simple, and each simple eigen va...

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Bibliographic Details
Main Authors: Budden, P, Norbury, J
Format: Journal article
Language:English
Published: 1982