A. S. Makin
Abstract
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We consider the spectral problem generated by the Sturm-Liouville equation with an arbitrary complex-valued potential q(x) and irregular boundary conditions. We establish necessary and sufficient conditions for a set of complex numbers to be the spectrum of such an operator.
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We consider the spectral problem generated by the Sturm-Liouville equation with an arbitrary complex-valued potential q(x) and irregular boundary conditions. We establish necessary and sufficient conditions for a set of complex numbers to be the spectrum of such an operator.
Key concepts: Sturm–Liouville theory, Characterization (materials science), Spectrum (functional analysis), Operator (biology), Mathematics, Boundary value problem, Mathematical analysis, Value (mathematics)