APPLICATION OF DARBOUX TRANSFORMATION TO MULTIDIMENSIONAL INHOMOGENEOUS PROBLEMS

TASK Quarterly

GRZEGORZ KWIATKOWSKI¹ 

[1] Gdansk University of Technology;

关键词: Darboux transform;    Green function;    interwine relation;    ladder operator;    inhomogeneous partial differential equation;   

DOI  :  10.17466/TQ2016/20.2/H

来源: DOAJ

【 摘 要 】

General properties of ladder operators applied to inhomogeneous problems are studied in the context of their usefulness for solving practical problems with stress put on the possibility of embedding the interwine relation onto a wider class of operators. From those general remarks an algorithm using the Darboux transform for construction of the Green function for linear partial differential equations is formed and a sample implementation thereof is shown along with some examples of solutions.

【 授权许可】

Unknown