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arXiv · 2506.15069

On the solvability of some systems of quadratic integral equations in dimensions two and three

Vitali Vougalter
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Abstract

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.

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Vitali Vougalter. 2025-06-18. On the solvability of some systems of quadratic integral equations in dimensions two and three. https://arxiv.org/abs/2506.15069

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