| dc.contributor.author | Mirumbe, G. I. | |
| dc.contributor.author | Mango, J. M. | |
| dc.date.accessioned | 2018-06-28T23:05:05Z | |
| dc.date.available | 2018-06-28T23:05:05Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Mirembe, G. I. & Mango, J. M. (2018). On generalized solutions of locally Fuchsian ordinary differential equations. Journal of Mathematical Sciences: Advances and Applications, 51, 99-117 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.18642/jmsaa_7100121959 | |
| dc.identifier.uri | http://hdl.handle.net/10570/6306 | |
| dc.description.abstract | We consider an m-th order constant coefficient locally Fuchsian ordinary
differential equation at the origin
( ( ) ( ) ( )) ( ) 0 0 0 0, 1 0
1 ∇ + 1 ∇ + + ∇ + = − r − r r y x m m m …
where dx
d x ∈ R, ∇ = x 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] | en_US |
| dc.description.sponsorship | The authors are grateful for the financial support extended by SIDA
project 316-2014 “Capacity building in Mathematics and its applications”
under the SIDA bilateral program with Makerere University 2015-2020.
The authors further extend their gratitude to the research support
provided by the International Science Program (ISP). | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Scientific Advances Publishers | en_US |
| dc.subject | locally Fuchsian | en_US |
| dc.subject | singular distributions | en_US |
| dc.subject | Dirac delta function | en_US |
| dc.subject | boundary values | en_US |
| dc.title | On generalized solutions of locally Fuchsian ordinary differential equations | en_US |
| dc.type | Journal article | en_US |
