Solution of Inhomogeneous Differential Equations with Polynomial Coefficients in Terms of the Green's Function and the AC-Laplace Transform | Zendy

Tohru Morita | Zendy; Kenichi Sato | Zendy

Open Access

Solution of Inhomogeneous Differential Equations with Polynomial Coefficients in Terms of the Green's Function and the AC-Laplace Transform

Author(s) -

Tohru Morita,

Kenichi Sato

Publication year - 2018

Publication title -

journal of advances in mathematics and computer science

Language(s) - English

Resource type - Journals

ISSN - 2456-9968

DOI - 10.9734/jamcs/2018/43059

Subject(s) - green's function for the three variable laplace equation , laplace transform , laplace transform applied to differential equations , mathematics , mathematical analysis , function (biology) , two sided laplace transform , polynomial , inverse laplace transform , laplace's equation , differential equation , post's inversion formula , fourier transform , fourier analysis , evolutionary biology , fractional fourier transform , biology

The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green’s function are obtained in the framework of distribution theory. In particular, discussions are given on Kummer’s and the hypergeometric differential equation. Related discussions are given on the particular solution of differential equations with constant coefficients, by the Laplace transform.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research