Solvability of an infinite system of integral equations on the real half-axis
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-06-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2020-0114 |
| _version_ | 1831591608350408704 |
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| author | Banaś Józef Woś Weronika |
| author_facet | Banaś Józef Woś Weronika |
| author_sort | Banaś Józef |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T01:27:17Z |
| format | Article |
| id | doaj.art-3fe27f0beaef4fa5a78efd3aa4847308 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-18T01:27:17Z |
| publishDate | 2020-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-3fe27f0beaef4fa5a78efd3aa48473082022-12-21T21:25:41ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2020-06-0110120221610.1515/anona-2020-0114anona-2020-0114Solvability of an infinite system of integral equations on the real half-axisBanaś Józef0Woś Weronika1Department of Nonlinear Analysis, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-959, Rzeszów, PolandFaculty of Mechanics and Technology, Rzeszów University of Technology - branch in Stalowa Wola, ul. Kwiatkowskiego 4, 37-450, Stalowa Wola, PolandThe 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.https://doi.org/10.1515/anona-2020-0114space of functions continuous and bounded on the half-axissequence spacemeasure of noncompactnessfixed point theorem of darbo typeinfinite system of integral equationsprimary 47h08secondary 45g1 |
| spellingShingle | Banaś Józef Woś Weronika Solvability of an infinite system of integral equations on the real half-axis Advances in Nonlinear Analysis space of functions continuous and bounded on the half-axis sequence space measure of noncompactness fixed point theorem of darbo type infinite system of integral equations primary 47h08 secondary 45g1 |
| title | Solvability of an infinite system of integral equations on the real half-axis |
| title_full | Solvability of an infinite system of integral equations on the real half-axis |
| title_fullStr | Solvability of an infinite system of integral equations on the real half-axis |
| title_full_unstemmed | Solvability of an infinite system of integral equations on the real half-axis |
| title_short | Solvability of an infinite system of integral equations on the real half-axis |
| title_sort | solvability of an infinite system of integral equations on the real half axis |
| topic | space of functions continuous and bounded on the half-axis sequence space measure of noncompactness fixed point theorem of darbo type infinite system of integral equations primary 47h08 secondary 45g1 |
| url | https://doi.org/10.1515/anona-2020-0114 |
| work_keys_str_mv | AT banasjozef solvabilityofaninfinitesystemofintegralequationsontherealhalfaxis AT wosweronika solvabilityofaninfinitesystemofintegralequationsontherealhalfaxis |