Oscillation and nonoscillation of solutions to even order self-adjoint differential equations
| dc.contributor.author | Dosly, Ondrej | |
| dc.contributor.author | Fisnarova, Simona | |
| dc.date.accessioned | 2021-01-29T13:17:55Z | |
| dc.date.available | 2021-01-29T13:17:55Z | |
| dc.date.issued | 2003-11-25 | |
| dc.description.abstract | We establish oscillation and nonoscilation criteria for the linear differential equation (-1)n (tαy(n))(n) - γn,α/ t2n-α y = q(t)y, α ∉ {1, 3, ..., 2n - 1}, where γn,α = 1/ 4n Πnk=1 (2k - 1 - α)2 and q is a real-valued continuous function. It is proved, using these criteria, that the equation (-1)n (tαy(n))(n) - (γn,α/ t2n-α + γ/ t2n-α lg2t) y = 0 is nonoscillatory if and only if γ ≤ ~γn,α := 1/ 4n ∏nk=1 (2k - 1 - α)2 ∑nk=1 1/ (2k - 1 - α)2 | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dosly, O., & Fisnarova, S. (2003). Oscillation and nonoscillation of solutions to even order self-adjoint differential equations. <i>Electronic Journal of Differential Equations, 2003</i>(115), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13166 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Self-adjoint differential equation | |
| dc.subject | Variational methods | |
| dc.subject | Oscillation and nonoscillation criteria | |
| dc.subject | Conditional oscillation | |
| dc.title | Oscillation and nonoscillation of solutions to even order self-adjoint differential equations | |
| dc.type | Article |