Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
| dc.contributor.author | Makin, Alexander | |
| dc.contributor.author | Thompson, H. Bevan | |
| dc.date.accessioned | 2021-04-26T16:28:34Z | |
| dc.date.available | 2021-04-26T16:28:34Z | |
| dc.date.issued | 2004-06-29 | |
| dc.description.abstract | It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space L2. A natural question is to ask if a similar result holds for nonlinear problems. In the present paper, we examine the basis property for eigenfunctions of nonlinear Sturm-Liouville equations subject to general linear, separated boundary conditions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Makin, A. S., & Thompson, H. B. (2004). Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators. <i>Electronic Journal of Differential Equations, 2004</i>(87), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13441 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, 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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Sturm-Liouville operator | |
| dc.subject | Basis property | |
| dc.subject | Eigenfunction | |
| dc.title | Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators | |
| dc.type | Article |