Asymptotic stability for second-order differential equations with complex coefficients
| dc.contributor.author | Hovhannisyan, Gro R. (  0000-0002-5391-2391 ) | |
| dc.date.accessioned | 2021-04-26T16:07:01Z | |
| dc.date.available | 2021-04-26T16:07:01Z | |
| dc.date.issued | 2004-06-13 | |
| dc.identifier.citation | Hovhannisyan, G. R. (2004). Asymptotic stability for second-order differential equations with complex coefficients. Electronic Journal of Differential Equations, 2004(85), pp. 1-20. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13439 | |
| dc.description.abstract | We prove asymptotical stability and instability results for a general second-order differential equations with complex-valued functions as coefficients. To prove asymptotic stability of linear second-order differential equations, we use the technique of asymptotic representations of solutions and error estimates. For nonlinear second-order differential equations, we extend the asymptotic stability theorem of Pucci and Serrin to the case of complex-valued coefficients. | en_US |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Asymptotic stability | en_US |
| dc.subject | Asymptotic representation | en_US |
| dc.subject | WKB solution | en_US |
| dc.subject | Second order differential equations | en_US |
| dc.title | Asymptotic stability for second-order differential equations with complex coefficients | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
