Lithuanian Mathematical Journal

, Volume 50, Issue 4, pp 426–446 | Cite as

Third-order linear differential equation with three additional conditions and formula for Green’s function

  • S. Roman
  • A. Štikonas


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.


ordinary differential equations linear differential equations Green’s function nonlocal boundary conditions 


34B05 34B27 34B10 


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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsVilniusLithuania

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