Transfer of admissible boundary conditions from a singular point for systems of linear ordinary differential equations. (English) Zbl 0825.34012
Summary: A review is given of the results obtained by the authors on the topic formulated in the title. New results are also presented: methods more general than those suggested earlier are described for constructing admissible boundary conditions at a singular point in the case of systems of first-order equations, and generalized systems of second-order equations with pole-type singularities are analysed, special attention being focused on the conditions of boundedness of the solutions at a singular point and to the emission-type conditions at infinity.
MSC:
34B05 | Linear boundary value problems for ordinary differential equations |
34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |