Abstract
We consider a singular Cauchy problem for a first-order ordinary differential equation unsolved with respect to the derivative of the unknown function. We prove the existence of continuously differentiable solutions with required asymptotic properties.
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Zernov, A.E. Qualitative Analysis of an Implicit Singular Cauchy Problem. Ukrainian Mathematical Journal 53, 344–353 (2001). https://doi.org/10.1023/A:1012332002822
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DOI: https://doi.org/10.1023/A:1012332002822