On the weighted boundary value problem for systems of degenerate ordinary differential equations
Articles
Stasys Rutkauskas
Institute of Mathematics and Informatics
Igor Saburov
Vilnius Pedagogical University
Published 2010-12-21
https://doi.org/10.15388/LMR.2010.10
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Keywords

systems of the ordinary differential equations
irregular singularity
weighted boundary value problems

How to Cite

Rutkauskas S. and Saburov I. (2010) “On the weighted boundary value problem for systems of degenerate ordinary differential equations”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 57–62. doi: 10.15388/LMR.2010.10.

Abstract

A system of ordinary second order linear equations with a singular point is considered. The aim of this work is such that the system of eigenvectors of the matrix that couples the system of equations is not complete. That implies a matter of the statement of a weighted boundary value problem for this system. The well-posed boundary value problem is proposed in the article. The existence and uniqueness of the solution is proved.

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