Positive Solutions to a Second Order Multi-point Boundary-value Problem
dc.contributor.author | Cao, Daomin | |
dc.contributor.author | Ma, Ruyun | |
dc.date.accessioned | 2019-12-11T18:36:20Z | |
dc.date.available | 2019-12-11T18:36:20Z | |
dc.date.issued | 2000-10-30 | |
dc.description.abstract | We prove the existence of positive solutions to the boundary-value problem u" + λα(t) ƒ (u,u') = 0 u(0) = 0, u(1) = ∑m-2i=1 αiu(↋i), where α is a continuous function that may change sign on [0,1], ƒ is a continuous function with ƒ (0,0) > 0, and λ is a small positive constant. For finding solutions we use the Leray-Schauder fixed point theorem. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 8 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Cao, D., & Ma, R. (2000). Positive solutions to a second order multi-point boundary-value problem. Electronic Journal of Differential Equations, 2000(65), pp. 1-8. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/9055 | |
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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Multi-point boundary value problem | |
dc.subject | Positive solution | |
dc.subject | Fixed point theorem | |
dc.title | Positive Solutions to a Second Order Multi-point Boundary-value Problem | en_US |
dc.type | Article |