Matrix representations of Sturm–Liouville problems with eigenparameter-dependent boundary conditions |
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Authors: | Ji-jun Ao Jiong Sun |
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Institution: | 1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;2. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China |
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Abstract: | We show that a class of regular self-adjoint Sturm–Liouville problems with eigenparameter-dependent boundary conditions are equivalent to a certain class of matrix problems. Equivalent here means that they have exactly the same eigenvalues. |
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