CONTENTSIntroduction.............................................................................................................................. 31. Definition of the Riccati equation of the n-th order....................................................... 62. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations............................................................................................... 113. Relation between the solutions of R equations and the solutions of linear equations. Two methods of solving linear equations................................................................................................................................ 174. Applications of the method of decomposition into operator factors........................... 255. Elementarily decomposable linear differential equations (class E).......................... 396. Final remarks. Application of the method of decomposition into operator factors in the theory of partial linear differential equations....................................... 46References................................................................................................................................ 49
@book{bwmeta1.element.zamlynska-8f687466-cd58-4c23-960f-449f7be17f4c,
author = {T. Iwi\'nski},
title = {The generalized equations of Riccati and their applications to the theory of linear differential equations},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1961},
zbl = {0098.28604},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-8f687466-cd58-4c23-960f-449f7be17f4c}
}
T. Iwiński. The generalized equations of Riccati and their applications to the theory of linear differential equations. GDML_Books (1961), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-8f687466-cd58-4c23-960f-449f7be17f4c/