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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.07119 |
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| _version_ | 1866929273387876352 |
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| author | Chen, Yuming Vougalter, Vitali |
| author_facet | Chen, Yuming Vougalter, Vitali |
| contents | The article is devoted to the existence of solutions of a certain system of quadratic integral equations in H^1(R, R^N). We show the existence of a perturbed solution by using a fixed point technique in the Sobolev space on the real line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07119 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solvability of a class of systems of quadratic integral equations Chen, Yuming Vougalter, Vitali Analysis of PDEs 45G10, 47H09, 47H10 The article is devoted to the existence of solutions of a certain system of quadratic integral equations in H^1(R, R^N). We show the existence of a perturbed solution by using a fixed point technique in the Sobolev space on the real line. |
| title | Solvability of a class of systems of quadratic integral equations |
| topic | Analysis of PDEs 45G10, 47H09, 47H10 |
| url | https://arxiv.org/abs/2403.07119 |