Abstract
In this paper, we investigate a third-order linear differential equation with three additional conditions. We find a solution to this problem and give a formula and an existence condition for Green’s function. We compare two Green’s functions for two such problems with different additional conditions: nonlocal and classical boundary conditions. Formula applications are shown by examples.
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Roman, S., Štikonas, A. Third-order linear differential equation with three additional conditions and formula for Green’s function. Lith Math J 50, 426–446 (2010). https://doi.org/10.1007/s10986-010-9097-x
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DOI: https://doi.org/10.1007/s10986-010-9097-x
Keywords
- ordinary differential equations
- linear differential equations
- Green’s function
- nonlocal boundary conditions