Avery fixed point theorem applied to Hammerstein integral equations
| dc.contributor.author | Eloe, Paul W. | |
| dc.contributor.author | Neugebauer, Jeffrey T. | |
| dc.date.accessioned | 2021-12-01T21:28:14Z | |
| dc.date.available | 2021-12-01T21:28:14Z | |
| dc.date.issued | 2019-08-13 | |
| dc.description.abstract | We apply a recent Avery et al. fixed point theorem to the Hammerstein integral equation x(t) = ∫T2T1 G(t, s)ƒ(x(s)) ds, t ∈ [T1, T2]. Under certain conditions on G, we show the existence of positive and positive symmetric solutions. Examples are given where G is a convolution kernel and where G is a Green's function associated with different boundary-value problem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Eloe, P. W., & Neugebauer, J. T. (2019). Avery fixed point theorem applied to Hammerstein integral equations. <i>Electronic Journal of Differential Equations, 2019</i>(99), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14990 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Hammerstein integral equation | |
| dc.subject | Boundary-value problem | |
| dc.subject | Fractional boundary-value problem | |
| dc.title | Avery fixed point theorem applied to Hammerstein integral equations | |
| dc.type | Article |