Positive solutions for a class of nonresonant boundary-value problems
| dc.contributor.author | Zhang, Xuemei | |
| dc.date.accessioned | 2021-08-03T17:18:41Z | |
| dc.date.available | 2021-08-03T17:18:41Z | |
| dc.date.issued | 2007-01-27 | |
| dc.description.abstract | This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem Lx = λw(t)ƒ(t, x). We are interested in the operator Lx := -x″ + ρqx when w is in Lp for 1 ≤ p ≤ +∞. Our arguments are based on fixed point theorems in a cone and Hölder's inequality. The nonexistence of positive solutions is also studied. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, X. (2007). Positive solutions for a class of nonresonant boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(20), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14170 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Positive solution | |
| dc.subject | Fixed point theorem | |
| dc.subject | Existence | |
| dc.subject | Complete continuity | |
| dc.title | Positive solutions for a class of nonresonant boundary-value problems | |
| dc.type | Article |