Abstract
We consider nonlinear integral equations of a special type that appear in the inverse spectral theory of integral and integro-differential operators. We generalize the approach for solving equations of this type by introducing some abstract nonlinear equation and proving its global solvability. Moreover, we establish the uniform stability of such nonlinear equations.
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Acknowledgements
This work was supported in part by the Ministry of Education and Science of Russian Federation (Grant 1.1660.2017/4.6) and by the Russian Foundation for Basic Research (Grants 16-01-00015 and 17-51-53180).
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Buterin, S., Malyugina, M. On Global Solvability and Uniform Stability of One Nonlinear Integral Equation. Results Math 73, 117 (2018). https://doi.org/10.1007/s00025-018-0879-5
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DOI: https://doi.org/10.1007/s00025-018-0879-5