English

On solutions of singular differential equations of the second order

Classical Analysis and ODEs 2021-01-05 v2

Abstract

We study the behaviour of solutions of ordinary differential equations of the second order with singular points, where the coefficients of the second-order derivative vanishes. In particular, we consider solutions entering a singular point without definite tangential direction. Great attention is paid to second-order equations, whose right-hand sides is a cubic polynomial by the first-order derivative.

Keywords

Cite

@article{arxiv.2006.15949,
  title  = {On solutions of singular differential equations of the second order},
  author = {A. O. Remizov},
  journal= {arXiv preprint arXiv:2006.15949},
  year   = {2021}
}