The Evans Function for Boundary-Value Problems
Previously we gathered information about a point spectrum either perturbatively, as in Chapter 6, or in cases where the linear operator has special structure, as arises from symmetries (Chapter 4.2) and in Hamiltonian systems (Chapter 7). In this chapter we construct the Evans function, an analytic function of the spectral parameter with the property that its zeros correspond to eigenvalues with the order of the zero equal to the algebraic multiplicity of the eigenvalue.
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