Solvability of an infinite system of integral equations on the real half-axis
| Autor: | Józef Banaś, Weronika Woś |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
QA299.6-433
010102 general mathematics Mathematical analysis 010103 numerical & computational mathematics fixed point theorem of darbo type 01 natural sciences primary 47h08 System of integral equations sequence space space of functions continuous and bounded on the half-axis infinite system of integral equations measure of noncompactness secondary 45g1 0101 mathematics Analysis Mathematics |
| Zdroj: | Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 202-216 (2020) |
| ISSN: | 2191-9496 |
| Popis: | The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis. The main tool used in the investigations is the technique associated with measures of noncompactness in the space of functions defined, continuous and bounded on the real half-axis with values in the space l ∞ consisting of real bounded sequences endowed with the standard supremum norm. The essential role in our considerations is played by the fact that we will use a measure of noncompactness constructed on the basis of a measure of noncompactness in the mentioned sequence space l ∞. An example illustrating our result will be included. |
| Databáze: | OpenAIRE |
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