Solvability of a (p, n-p)-type multi-point boundary-value problem for higher-order differential equations
| dc.contributor.author | Liu, Yuji | |
| dc.contributor.author | Ge, Weigao | |
| dc.date.accessioned | 2021-01-29T15:40:46Z | |
| dc.date.available | 2021-01-29T15:40:46Z | |
| dc.date.issued | 2003-12-01 | |
| dc.description.abstract | In this article, we study the differential equation (-1)n-p x(n) (t) = ƒ(t, x(t), x'(t),..., x(n-1) (t)), 0 < t < 1, subject to the multi-point boundary conditions x(i) (0) = 0 for i = 0, 1,..., p - 1, x(i) (1) = 0 for i = p + 1, ..., n - 1, ∑mi=1 αix(p) (ξi) = 0, where 1 ≤ p ≤ n - 1. We establish sufficient conditions for the existence of at least one solution at resonance and another at non-resonance. The emphasis in this paper is that ƒ depends on all higher-order derivatives. Examples are given to illustrate the main results of this article. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, Y., & Ge, W. (2003). Solvability of a (p, n-p)-type multi-point boundary-value problem for higher-order differential equations. Electronic Journal of Differential Equations, 2003(120), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13171 | |
| 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 | Solvability | |
| dc.subject | Resonance | |
| dc.subject | Non-resonance | |
| dc.subject | Multi-point boundary-value problem | |
| dc.subject | Higher order differential equation | |
| dc.title | Solvability of a (p, n-p)-type multi-point boundary-value problem for higher-order differential equations | en_US |
| dc.type | Article |