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Third-order linear differential equation with three additional conditions and formula for Green’s function. (English) Zbl 1284.34026

Summary: 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.

MSC:

34B05 Linear boundary value problems for ordinary differential equations
34B27 Green’s functions for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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