Qualitative Analysis of an Implicit Singular Cauchy Problem
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.
English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 3, pp 344-353.
Citation Example: Zernov A. E. Qualitative Analysis of an Implicit Singular Cauchy Problem // Ukr. Mat. Zh. - 2001. - 53, № 3. - pp. 302-310.