Annali di Matematica Pura ed Applicata

, Volume 105, Issue 1, pp 241–256 | Cite as

Linear integro-differential-boundary-parameter problems

  • Hyman J. Zimmerberg


Necessary and sufficient conditions for a linear vector differential system, involving integral, boundary, and vector parameter terms, to be symmetric (self-adjoint) are developed and applied to obtain canonical forms for symmetric problems. In addition, the concept of the equivalence of two such linear problems under nonsingular transformations is examined, and a relationship between equivalence of a problem with its adjoint and symmetry is obtained.


Vector Parameter Canonical Form Linear Problem Differential System Linear Vector 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1975

Authors and Affiliations

  • Hyman J. Zimmerberg
    • 1
  1. 1.Department of MathematicsRutgers, The State UniversityNew BrunswickUSA

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