Explicit solution formulae for linear distribution differential equations
The authors consider the differential equation \[ y^{(n)}+ A_{n-1} y^{(n-1)}+ \dots+ A_0 y \equiv 0, \] with distributional coefficients of the form \[ A_i= a_i+ \sum\limits_{s=1}^t b_{is} \delta_s. \] \(a_i\) and \(b_{is}\) are real numbers and \(\delta_s\) denotes the Dirac measure. An explicit formula for the solution is derived.
scientific article; zbMATH DE number 1046194