Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Kaptsov, Oleg V.
- Contact information
- Kaptsov, Oleg V. : Federal Research Center for Information and Computational Technologies (Novosibirsk, Russian Federation);
- Keywords
- intertwining operators; factorization; partial differential equations; general solutions
- Abstract
We develop an operator approach to the integration of linear differential equations based on intertwining relations between differential operators. Conditions for the existence of intertwining operators are obtained, and it is shown that, in low-order cases, the problem reduces to Riccati-type equations. The method is applied to linear partial differential equations, which makes it possible to construct their solutions. The linear Klein–Gordon equation is presented as an illustrative example
- Pages
- 656–663
- EDN
- OFOVRT
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/159287
Journal of Siberian Federal University. Mathematics & Physics / Application of Intertwining Operators to Integrating Differential Equations
Full text (.pdf)