Eigenvalue Comparisons for Differential Equations on a Measure Chain
| dc.contributor.author | Chyan, Chuan Jen | |
| dc.contributor.author | Davis, John M. | |
| dc.contributor.author | Henderson, Johnny | |
| dc.contributor.author | Yin, William K. C. | |
| dc.date.accessioned | 2018-11-16T18:22:31Z | |
| dc.date.available | 2018-11-16T18:22:31Z | |
| dc.date.issued | 1998-12-19 | |
| dc.description.abstract | The theory of u0-positive operators with respect to a cone in a Banach space is applied to eigenvalue problems associated with the second order Δ-differential equation (often referred to as a differential equation on a measure chain) given by yΔΔ(t) + λp(t)y(σ(t)) = 0, t ∈ [0,1] satisfying the boundary conditions y(0) = 0 = y(σ2(1)). The existence of a smallest positive eigenvalue is proven and then a theorem is established comparing the smallest positive eigenvalues for two problems of this type. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chyan, C. J., Davis, J. M., Henderson, J., & Yin, W. K. C. (1998). Eigenvalue comparisons for differential equations on a measure chain. <i>Electronic Journal of Differential Equations, 1998</i>(35), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7798 | |
| 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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Measure chain | |
| dc.subject | Eigenvalue problem | |
| dc.title | Eigenvalue Comparisons for Differential Equations on a Measure Chain | en_US |
| dc.type | Article |