Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements
Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. Associated finite-difference scheme is proposed on uniform mesh and second-order accuracy for approximation is p...
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| Format: | Article |
| Language: | English |
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EJAAM
2019-07-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0004.pdf |
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| Summary: | Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. Associated finite-difference scheme is proposed on uniform mesh and second-order accuracy for approximation is proved. An application of obtained results to nonlocal boundary problems with weight integral conditions is provided. |
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| ISSN: | 2544-9990 |