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Common terms and phrasesadjoint Assume BC basis boundary value problems bounded changes sign Chapter characterization coefficients continuous function coupled boundary conditions defined denote differential equations Dirichlet Dmax domain functions eigenfunction essential spectrum exists finite follows Friedrichs extension fundamental matrix G N0 given Green’s function Hence Hilbert space hold hypotheses and notation identically zero inequalities infinite number Kong Krein space LCNO LD problems Lemma Let the hypotheses linear linearly independent LP endpoint Math Mathematics maximal domain functions minimal operator multiplicity nonreal eigenvalues notation of Theorem Note number of eigenvalues number of zeros oscillation oscillatory parameter positive principal solution Proc quasi-derivatives real-valued regular problems Remark right-definite satisfying Section self-adjoint boundary conditions self-adjoint domain self-adjoint extensions self-adjoint operator self-adjoint realization separated boundary conditions singular problem SLEIGN2 SLP consisting space H spectral spectral theory Sturm-Liouville problems subinterval theory weight function Wu and Zettl Bibliographic information
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