Building singular solutions for degenerate high order equations

2020/05/05 by B. Yu. Irgashev, Irgashev, B. Yu.
Computer Science · Mathematics · #2010.35C06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2005.02004

openalex publication_date 2020/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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