New types of factorizable equations

Author:

Humi Mayer

Abstract

AbstractBy a generalization of the Infeld-Hull Factorization Kernels we find it possible to factorize a wide family of second-order ordinary differential equations at specified points of their spectrum.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. The Factorization Method

2. Special Functions of Mathematical Physics from the Viewpoint of Lie Algebra

3. (5) It is to be remarked that y(λ, m ± 1) might satisfy different boundary conditions other than those of y(λ, m). However, this is not a difficulty, since once a solution of a second-order equation is found the second can be found by quadratures. (6) To derive these equations we used and equation (4–1) for m and m + 1.

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1. Darboux transformations for Schrödinger equations in two variables;Journal of Mathematical Physics;2005-08

2. Dilatations and factorizable equations;Journal of Physics A: Mathematical and General;2005-06-29

3. RICCATI EQUATION, FACTORIZATION METHOD AND SHAPE INVARIANCE;Reviews in Mathematical Physics;2000-10

4. Darboux transformations for the Schrodinger equation in three dimensions;Journal of Physics A: Mathematical and General;1988-05-07

5. Factorization of systems of differential equations;Journal of Mathematical Physics;1986-01

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