LINEAR DIFFERENTIAL EQUATION WITH ADDITIONAL CONDITIONS AND FORMULAE FOR GREEN'S FUNCTION
Open Access
- 24 August 2011
- journal article
- research article
- Published by Vilnius Gediminas Technical University in Mathematical Modelling and Analysis
- Vol. 16 (3), 401-417
- https://doi.org/10.3846/13926292.2011.602125
Abstract
In this paper, we investigate the m-order linear ordinary differential equation with m linearly independent additional conditions. We have found the solution to this problem and give the formula and the existence condition of Green's function. We compare two Green's functions for two such problems with different additional conditions and apply these results to the problems with nonlocal boundary conditions.Keywords
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