Existence of positive solutions for a nonlinear quadratic integral equation
| dc.contributor.author | Wang, Chu-Hang | |
| dc.contributor.author | Ding, Hui-Sheng | |
| dc.contributor.author | N'Guerekata, Gaston | |
| dc.date.accessioned | 2021-11-29T18:12:28Z | |
| dc.date.available | 2021-11-29T18:12:28Z | |
| dc.date.issued | 2019-06-10 | |
| dc.description.abstract | In this article, we study the existence of positive solutions for the nonlinear quadratic integral equation x(t) = g(t, x(t)) ∫t-∞ α(t, t - s) ƒ(s, x(s))ds, t ∈ ℝ. By using fixed point theory on cones, we prove the existence and uniqueness of bounded and continuous solution with positive infimum. An example illustrates the abstract result. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, C. H., Ding, H. S., & N'Guerekata, G. M. (2019). Existence of positive solutions for a nonlinear quadratic integral equation. <i>Electronic Journal of Differential Equations, 2019</i>(79), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14967 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quadratic integral equation | |
| dc.subject | Positive solution | |
| dc.subject | Cone | |
| dc.title | Existence of positive solutions for a nonlinear quadratic integral equation | |
| dc.type | Article |