Lyapunov-type inequalities for third-order linear differential equations
| dc.contributor.author | Aktas, Mustafa Fahri | |
| dc.contributor.author | Cakmak, Devrim | |
| dc.date.accessioned | 2022-05-23T16:29:37Z | |
| dc.date.available | 2022-05-23T16:29:37Z | |
| dc.date.issued | 2017-05-24 | |
| dc.description.abstract | In this article, we establish new Lyapunov-type inequalities for third-order linear differential equations y‴ + q(t)y = 0 under the three-point boundary conditions y(α) = y(b) = y(c) = 0 and y(α) = y″(d) = y(b) = 0 by bounding Green's functions G(t, s) corresponding to appropriate boundary conditions. Thus, we obtain the best constants of Lyapunov-type inequalities for three-point boundary value problems for third-order linear differential equations in the literature. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Aktas, M. F., & Cakmak, D. (2017). Lyapunov-type inequalities for third-order linear differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(139), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15796 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Lyapunov-type inequalities | |
| dc.subject | Green's Functions | |
| dc.subject | Three-point boundary conditions | |
| dc.title | Lyapunov-type inequalities for third-order linear differential equations | |
| dc.type | Article |