Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations
| dc.contributor.author | Battle, Laurie | |
| dc.date.accessioned | 2021-05-17T20:38:57Z | |
| dc.date.available | 2021-05-17T20:38:57Z | |
| dc.date.issued | 2005-01-02 | |
| dc.description.abstract | We examine properties of solutions to a 2n-dimensional Stieltjes Sturm-Liouville initial-value problem. Existence and uniqueness of a solution has been previously proven, but we present a proof in order to establish properties of boundedness, bounded variation, and continuity. These properties are then used to prove that the solutions depend continuously on the coefficients and on the initial conditions under certain hypotheses. In a future paper, these results will be extended to eigenvalue problems, and we will examine dependence on the endpoints and boundary data in addition to the coefficients. We will find conditions under which the eigenvalues depend continuously and differentiably on these parameters. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Battle, L. (2005). Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations. <i>Electronic Journal of Differential Equations, 2005</i>(02), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13573 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Initial value problems | |
| dc.subject | Continuous dependence | |
| dc.subject | Linear systems | |
| dc.title | Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations | |
| dc.type | Article |