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A note on the characterisation of eigencurves for certain two parameter eigenvalue problems in ordinary differential equations

A note on the characterisation of eigencurves for certain two parameter eigenvalue problems in ordinary differential equations

We are interested in two parameter eigenvalue problems of the form subject to Dirichlet boundary conditions The weight function 5 and the potential q will both be assumed to lie in L 2 [0,1]. The problem (1.1), (1.2) generates eigencurves in the sense that for any fixed λ, ν(λ) is …