Existence of solutions to infinite systems of nonlinear integral equations on the real half-axis
dc.contributor.author | Chlebowicz, Agnieszka | |
dc.date.accessioned | 2021-08-27T16:54:25Z | |
dc.date.available | 2021-08-27T16:54:25Z | |
dc.date.issued | 2021-07-06 | |
dc.description.abstract | In this article we study the solvability of an infinite system of integral equations of Volterra-Hammerstein type in the space of functions defined, continuous and bounded on the real half-axis with values in the sequence space l1. We extend a known existence result for such an infinite system of integral equations and prove a theorem applicable to a wider class of considered infinite systems. We also give an example to show the usefulness of our result. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 20 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Chlebowicz, A. (2021). Existence of solutions to infinite systems of nonlinear integral equations on the real half-axis. <i>Electronic Journal of Differential Equations, 2021</i>(61), pp. 1-20. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14471 | |
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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Infinite system of integral equations | |
dc.subject | Measure of noncompactness | |
dc.subject | Fixed point theorem | |
dc.title | Existence of solutions to infinite systems of nonlinear integral equations on the real half-axis | en_US |
dc.type | Article |