English

Building singular solutions for degenerate high order equations

Analysis of PDEs 2020-05-06 v1

Abstract

In this paper, using the similarity method, we construct particular solutions with singularities for degenerate high-order equations. The considered equations have singularities of the first and second kind. Particular solutions are expressed through generalized hypergeometric functions. Sufficient conditions are obtained under which the number of linearly independent solutions is equal to the order of the equation.

Keywords

Cite

@article{arxiv.2005.02004,
  title  = {Building singular solutions for degenerate high order equations},
  author = {B. Yu. Irgashev},
  journal= {arXiv preprint arXiv:2005.02004},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T15:18:54.875Z