Abstract
We consider a singular Cauchy problem for a nonlinear differential equation unsolved with respect to the derivative of the unknown function. We prove the existence of continuously differentiable solutions, investigate their asymptotic behavior near the initial point, and determine their number.
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Zernov, A.E., Meleshko, T.V. On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem. Ukrainian Mathematical Journal 53, 1433–1444 (2001). https://doi.org/10.1023/A:1014306406367
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DOI: https://doi.org/10.1023/A:1014306406367