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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.15069 |
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| _version_ | 1866912436942012416 |
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| author | Vougalter, Vitali |
| author_facet | Vougalter, Vitali |
| contents | The work deals with the existence of solutions of a certain system of quadratic integral equations in H^2(R^d,R^N), d = 2, 3. We demonstrate the existence of a perturbed solution by virtue of a fixed point technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the solvability of some systems of quadratic integral equations in dimensions two and three Vougalter, Vitali Analysis of PDEs 45G10, 47H10 The work deals with the existence of solutions of a certain system of quadratic integral equations in H^2(R^d,R^N), d = 2, 3. We demonstrate the existence of a perturbed solution by virtue of a fixed point technique. |
| title | On the solvability of some systems of quadratic integral equations in dimensions two and three |
| topic | Analysis of PDEs 45G10, 47H10 |
| url | https://arxiv.org/abs/2506.15069 |