AbstractBoundary eigenvalue problems for linear pencilsN— λ of two ordinary differential operators are studied wherePis of lower order thanN. In a suitable scale of subspaces of Sobolev spaces and spaces of continuously differentiable functions results on minimality and basis properties of the eigenfunctions and associated functions are proved, including explicit formulas for the Fourier coefficients. As an application the Orr ‐ Sommerfeld equation is consid
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