English

On a linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple step functions

Classical Analysis and ODEs 2015-05-26 v1

Abstract

By using the method developed in the paper [G.Pantsulaia, G.Giorgadze, On some applications of infinite-dimensional cellular matrices, {\it Georg. Inter. J. Sci. Tech., Nova Science Publishers,} Volume 3, Issue 1 (2011), 107-129], it is obtained a representation in an explicit form of the particular solution of the linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple functions.

Keywords

Cite

@article{arxiv.1505.06247,
  title  = {On a linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple step functions},
  author = {Gogi Pantsulaia and Khatuna Chargazia and Givi Giorgadze},
  journal= {arXiv preprint arXiv:1505.06247},
  year   = {2015}
}

Comments

10 pages, 2 figure, Remark 4.1 is added