Volume no :51, Issue no: 1, May (2018)

Journal of Mathematical Sciences: Advances and Applications

ON GENERALIZED SOLUTIONS OF LOCALLY FUCHSIAN ORDINARY DIFFERENTIAL EQUATIONS

Author's: G. I. Mirumbe and J. M. Mango
Pages: [99] - [117]
Received Date: April 16, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121959

Abstract

We consider an m-th order constant coefficient locally Fuchsian ordinary differential equation at the origin

where and prove that there exists generalized solutions to this equation with support on the positive halfline. A long the way, using our method, we establish similar conditions for existence of generalized solutions for a specialized ordinary differential equation proposed in [1].

Keywords

locally Fuchsian, singular distributions, Dirac delta function, boundary values.