Left-definite spaces of singular Sturm-Liouville problems |
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| Authors: | Guangsheng Wei Shouzhong Fu |
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| Affiliation: | a College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China
b Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, PR China |
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| Abstract: | The left-definite Hilbert spaces for singular Sturm-Liouville problems of the limit-circle type are explicitly constructed. The construction only uses an explicit form of the left-definite boundary conditions, together with a principle solution and a non-principle solution of the differential equation involved. |
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| Keywords: | Sturm-Liouville problem Left-definite space Boundary condition |
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