Positive and Monotone Solutions of an m-point Boundary Value Problem
| dc.contributor.author | Palamides, Panos K. | |
| dc.date.accessioned | 2020-07-13T22:04:57Z | |
| dc.date.available | 2020-07-13T22:04:57Z | |
| dc.date.issued | 2002-02-18 | |
| dc.description.abstract | We study the second-order ordinary differential equation y''(t) = -ƒ(t, y(t), y'(t)), 0 ≤ t ≤ 1, subject to the multi-point boundary conditions αy(0) ± βy' (0) = 0, y(1) = Σm-2i=1 αiy(ξi). We prove the existence of a positive solution (and monotone in some cases) under superlinear and/or sublinear growth rate in ƒ. Our approach is based on an analysis of the corresponding vector field on the (y, y') face-plane and on Kneser's property for the solution's funnel. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Palamides, P. K. (2002). Positive and monotone solutions of an m-point boundary value problem. <i>Electronic Journal of Differential Equations, 2002</i>(18), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12058 | |
| 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Multipoint boundary value problems | |
| dc.subject | Positive monotone solution | |
| dc.subject | Vector field | |
| dc.subject | Sublinear | |
| dc.subject | Superlinear | |
| dc.subject | Kneser's property | |
| dc.subject | Solution's funel | |
| dc.title | Positive and Monotone Solutions of an m-point Boundary Value Problem | |
| dc.type | Article |