Existence of positive solutions for boundary-value problems for singular higher-order functional differential equations
| dc.contributor.author | Bai, Chuanzhi | |
| dc.contributor.author | Yang, Qing | |
| dc.contributor.author | Ge, Jing | |
| dc.date.accessioned | 2021-07-16T20:14:53Z | |
| dc.date.available | 2021-07-16T20:14:53Z | |
| dc.date.issued | 2006-07-06 | |
| dc.description.abstract | We study the existence of positive solutions for the boundary-value problem of the singular higher-order functional differential equation (Ly(n-2))(t) + h(t)ƒ(t, yt) = 0, for t ∈ [0, 1], y(i)(0) = 0, 0 ≤ i ≤ n - 3, ay(n-2)(t) - βy(n-1) (t) = η(t), for t ∈ [-τ, 0], γy(n-2)(t) + δy(n-1) (t) = ξ(t), for t ∈ [1, 1 + α], where Ly := -(py′)′ + qy, p ∈ C([0, 1], (0, +∞)), and q ∈ C([0, 1], [0, +∞)). Our main tool is the fixed point theorem on a cone. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bai, C., Yang, Q., & Ge, J. (2006). Existence of positive solutions for boundary-value problems for singular higher-order functional differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(68), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13941 | |
| 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Boundary value problem | |
| dc.subject | Higher-order | |
| dc.subject | Positive solution | |
| dc.subject | Functional differential equation | |
| dc.subject | Fixed point | |
| dc.title | Existence of positive solutions for boundary-value problems for singular higher-order functional differential equations | |
| dc.type | Article |