Coexistence Of Distributional And Rational Solution To Some Linear Ordinary Differential Equations

In this paper, we visit a distributional solution of the di erential equationrnty(n)(t) + my(nÀ€€1)(t) + ty(t) = 0rnwhere m and n are any integers with n 2 and t 2 R using Laplace transformrntechnique. We nd that the types of Laplace transformable solution in thernspace of right-sided expiration depend on the relationship between m andrnn. Precisely, we have a distributional solution provided m n; and a weakrnsolution otherwise.

Get Full Work

Report copyright infringement or plagiarism