On asymptotic behaviour of oscillatory solutions for fourth order differential equations
| dc.contributor.author | Padhi, Seshadev | |
| dc.contributor.author | Qian, Chuanxi | |
| dc.date.accessioned | 2021-08-03T17:53:58Z | |
| dc.date.available | 2021-08-03T17:53:58Z | |
| dc.date.issued | 2007-02-04 | |
| dc.description.abstract | We establish sufficient conditions for the linear differential equations of fourth order (r(t)y‴ (t))′ = α(t)y(t) + b(t)y′(t) + c(t)y″(t) + ƒ(t) so that all osillatory solutions of the equation satisfy limt→∞ y(t) = limt→∞ y′(t) = limt→∞ y″(t) = limt→∞ r(t)y‴(t) = 0, where r : [0, ∞) → (0, ∞), α, b, c and ƒ : [0, ∞) → R are continuous functions. A suitable Green's function and its estimates are used in this paper. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 5 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Padhi, S., & Qian, C. (2007). On asymptotic behaviour of oscillatory solutions for fourth order differential equations. <i>Electronic Journal of Differential Equations, 2007</i>(22), pp. 1-5. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14172 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Oscillatory solution | |
| dc.subject | Asymptotic behaviour | |
| dc.title | On asymptotic behaviour of oscillatory solutions for fourth order differential equations | |
| dc.type | Article |