Linear differential equation with additional conditions and formulae for green's function

    Svetlana Roman Info

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:

Linear ODE, Green’s function, Nonlocal Boundary Conditions

How to Cite

Roman, S. (2011). Linear differential equation with additional conditions and formulae for green’s function. Mathematical Modelling and Analysis, 16(3), 401-417. https://doi.org/10.3846/13926292.2011.602125

Share

Published in Issue
August 24, 2011
Abstract Views
616

View article in other formats

CrossMark check

CrossMark logo

Published

2011-08-24

Issue

Section

Articles

How to Cite

Roman, S. (2011). Linear differential equation with additional conditions and formulae for green’s function. Mathematical Modelling and Analysis, 16(3), 401-417. https://doi.org/10.3846/13926292.2011.602125

Share